content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
dy/dx question...
January 3rd 2009, 10:50 AM #1
dy/dx question...
Hey all,
I'm getting ready for my first semester of Calculus and I'm a big dork so I'm actually interested in the subject.
Anyway I have a quick question: when differentiating $\sqrt{x}$ I was taught by my trusty textbook to multiply by t... | 4 | [
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0.01519775390625,
-0.0196533203125,... | 8,300 | 8300 | |
Series Solutions Near a Regular Singular Point
March 17th 2009, 03:45 PM #1
Newbie
Joined
Feb 2009
Posts
11
Series Solutions Near a Regular Singular Point
I need to find the series solution at the point x=0 for the equation 2xy''+y'+xy=0. I have already found the point to be regular singular and the root... | 5 | [
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... | 8,301 | 8301 | |
Math Forum Discussions
Re: Ariadne's thread
Posted: Jan 27, 2012 3:22 AM
RMP 48
Problem no. 48 of the Rhind Mathematical Papyrus contains
a famous drawing of a square with an inscribed octagon
(ASCII drawing adopted to the proportional font):
A a b B
h ----- c
g ----- d
D f e C
Square ABCD -- irregular octagon abcd... | 4 | [
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0.0... | 8,302 | 8302 | |
The change of base formula
May 17th 2009, 05:20 PM
Phire
The change of base formula
I know the definition of the change of base formula, but I really don't know why it's actually called the "change of base" formula. I know that it allows you to solve for an exponent when the
original log is not in terms of b... | 4 | [
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0.1240234375... | 8,303 | 8303 | |
Vector Maximization
February 24th 2010, 01:27 PM
AmberLamps
Vector Maximization
I have a host of questions that require me to maximise vectors/matrices. This is from an economic module so much of this material is new to me. Anyway there is a typical question below. Any
examples that I can find in textbooks/o... | 5 | [
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0.10302734375,
-0... | 8,304 | 8304 | |
Analytical expression for variance of nested binomials?
up vote 0 down vote favorite
Hi all,
I want to compute the variance of a variable that is defined at each step as a recursion of binomials in the following way:
A=1
B=Bin(1,A)*Bin(1,p)
C=Bin(1,B)*Bin(1,p)
D=Bin(1,C)*Bin(1,p), etc...
Generalized form:
X(T+1... | 5 | [
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Implicit differentiation.
November 10th 2009, 04:02 PM #1
Member
Joined
Sep 2009
Posts
80
Implicit differentiation.
Here's the problem:
"Consider the curve defined by the implicit equation $y+5cosy=x^2+2.$
a) Find $dy/dx$ in terms of x and y.
b) Find the equation of the tangent line at the... | 4 | [
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Normal Distribution and CLT
April 3rd 2008, 04:14 PM #1
Newbie
Joined
Feb 2008
Posts
10
Normal Distribution and CLT
My teacher hasn't taught us how to do this problem but still wants us to do it--
Suppose that the distribution of the weight of a prepackaged 1-pound bag of carrots is N(1.18,.07^2) an... | 5 | [
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Low-Power Mixer Converts UWB Signals
This inductorless mixer uses bulk-injection and switched-biasing techniques for low-voltage, low-power operation from 0.6 to 11.0 GHz for UWB communications.
What is in this article?:
• Finding The Middle Ground
This active mixer design provides conversion gain over a bandwidth... | 4 | [
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Hausdorff Measure
April 4th 2012, 08:40 AM #1
Newbie
Joined
May 2011
Posts
16
Hausdorff Measure
The question I am trying to answer is as follows
Let F={(a,b): 0< a, b<7} $\subset$$\mathbb{R}^{2}$. Show that H^s(F)=0 if s>2, 0<H^2(F)< $\infty$ and H^s(F) = $\infty$ if s<2. (You may need to use the fa... | 5 | [
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Limit of a function with trigonometric functions
September 1st 2009, 10:27 AM #1
Newbie
Joined
Jul 2009
Posts
23
Limit of a function with trigonometric functions
Hi everyone,
I am having trouble calculating the following limit
$\lim\limits_{x \rightarrow 0}{\frac{\sqrt{1+\sin^2{x}}-\sqrt{1-\sin... | 4 | [
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Homework Help
Posted by lauren on Monday, August 28, 2006 at 5:10pm.
Thank goodness for this site! Two questions:
first: in the 1990 U.S. census, the final count was 248,709,873 people. The general population is estimated to have been undercounted by 1.8%, that is, only 98.2% of the people were counted.
If this were... | 4 | [
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Math Forum Discussions
Math Forum
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Discussions
Internet Newsletter
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Teacher Exchange
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Dynamic application of several polynomials
Replies... | 4 | [
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-0.0612792968... | 8,312 | 8312 | |
Generalizations of pcf theory
up vote 5 down vote favorite
Does anyone know of generalizations of pcf theory where we might consider products of the form:
$$\aleph_1 \times (\aleph_2 \times \aleph_2) \times (\aleph_3 \times \aleph_3 \times \aleph_3) \dots$$
$$(\aleph_1 \times \aleph_2 \times \dots) \times (\aleph_1 ... | 5 | [
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0.0233154296875,
0.02... | 8,313 | 8313 | |
Summing Odd Numbers Geometrically
Date: 10/30/1999 at 04:16:39
From: Can Turkseven
Subject: Geometric proof
Can you prove that
1 + 3 + 5 +... + (2n-1) = n*n
by using a simple geometric method?
Thanks.
Date: 10/30/1999 at 06:53:57
From: Doctor Floor
Subject: Re: Geometric proof
Hi Can,
Thanks for your que... | 4 | [
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Solving equation with negative exponential with logarithm
December 28th 2012, 04:26 PM #1
Newbie
Joined
Dec 2012
From
Europe
Posts
7
Solving equation with negative exponential with logarithm
Hi guys!
I'm struggling with this problem, I'm sure that the solution is not too difficult, but I just ca... | 4 | [
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Derivative of inverse function
November 7th 2009, 07:38 PM
acc100jt
Derivative of inverse function
I'm reading the proof for the following theorem.
If f is a one-to-one differentiable function with inverse function $g=f^{-1}$ and $f'(g(a)) eq 0$, then the inverse function is differentiable at a and
$g'(... | 4 | [
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gamma distribution
October 30th 2008, 03:57 AM
math_lete
gamma distribution
If X is a gamma(2,lambda) distribution
lambda(^2)xe^(-lambda x) x >0
fX(x)=
0 otherwise
How do i obtain the mean and variance of X?
thanks.
October 30th 2008, 04:18 AM
mr fantastic
Quote:
$f(x) = \lambd... | 5 | [
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Vector
November 19th 2012, 05:50 AM
Petrus
Vector
*Choose two linearly independent vectors among the following vectors:
http://latex.codecogs.com/png.latex?... \end{bmatrix}, http://latex.codecogs.com/png.latex?... \end{bmatrix}, http://latex.codecogs.com/png.latex?... \end{bmatrix}
Extend them to a ba... | 5 | [
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-0.10986328125... | 8,318 | 8318 | |
Proof: Every Positive Measureable Function There Exist Simple Measureable Function
December 30th 2010, 01:10 PM #1
Newbie
Joined
Dec 2010
From
Texas
Posts
3
Proof: Every Positive Measureable Function There Exist Simple Measureable Function
Hello,
This is my first post on this site, so please excu... | 4 | [
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0.00885... | 8,319 | 8319 | |
Ring without maximal ideal
December 5th 2009, 04:35 AM #1
Member
Joined
Nov 2009
Posts
169
Ring without maximal ideal
Hey there,
Let R be the ring consisting of the power series of the form
$\sum_{n=1}^{\infty}a_{n}x^{\alpha_n}$ where $a_n \in \mathbb{R}$ and $0 < \alpha_1 < \alpha_2 < \cdots$... | 5 | [
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0.0218505859375,
-0.0209960937... | 8,320 | 8320 | |
Math Forum Discussions
Math Forum
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Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Two Finite Arithmetics
Replies: 19 Last Post: Apr ... | 4 | [
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Math Forum Discussions
Re: What Is an Integral?
Posted: Feb 4, 1998 1:51 PM
As usual, you've provided this poor algebraist with a couple of useful
pieces of information that he's forgotten from his course in measure
theory 30 years ago (or else never learned in the first place).
Thanks for the term "finitely additi... | 4 | [
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Implicit Diff and an Ellipse
October 15th 2007, 07:08 PM
ebonyscythe
Implicit Diff and an Ellipse
Consider the graph of x^2+xy+y^2=1. Use implicit differentiation to find all points on the graph where the tangent line is parallel to the line y=-x.
Where do I go after I implicitly differentiate this thing?
... | 5 | [
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... | 8,323 | 8323 | |
Need an example fill out please :)
December 21st 2009, 05:01 PM
Dakkar
Need an example fill out please :)
Hello
The math problems im gonna post below may be below most of you but i missed a few days of shcool so i didn't lear how to solve these equations. the teacher let me copy down what they were but she
... | 4 | [
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Treatise On Analysis Vol-Ii
7 TRACES, BITRACES, AND HUBERT ALGEBRAS 357
that there exists no trace on «£?(H) if H is an /«/zmte-dimensional Hilbert space
(Problem at the end of this section).
The corresponding notion for positive Hilbert forms is that of a bitrace.
A bitrace on A is by definition a positive H... | 4 | [
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0.01330566406... | 8,325 | 8325 | |
Sup norm is metric proof.
September 10th 2009, 04:03 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Sup norm is metric proof.
Consider the set of all continuous functions on [0,1], $C[0,1]$. Define $p(f,g) = \sup _{x \in [0,1] } \mid f(x)-g(x) \mid$.
Prove that $p(f,g)+p(g,h) \geq p(f,h)$... | 4 | [
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Super-sparse principal component analyses for high-throughput genomic data
Abstract
Background
Principal component analysis (PCA) has gained popularity as a method for the analysis of high-dimensional genomic data. However, it is often difficult to interpret the results because the principal
components are linear com... | 4 | [
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-0.031494140625,
-0.07861328125,
0.014404296875,
0.00836181640625,
0.00860595703125,
0.0184326171875,
0.049560546875,
-0.09228515625,
0.0247802734375,
-0.055419921875,
0.0294189453125,
0.0245361328125,
0... | 8,327 | 8327 | |
definite integral answer different from Riemann Sum calc
May 18th 2008, 07:15 PM
rexexdesign
definite integral answer different from Riemann Sum calc
Hi everybody,
I have to calculate a definite integral using the oh so necessary Riemann Sum.
I first calculated the integral with the fundamental theorem ... | 5 | [
-0.0230712890625,
-0.04638671875,
0.09130859375,
-0.0078125,
0.03271484375,
-0.060302734375,
0.056884765625,
0.10888671875,
0.031982421875,
-0.03173828125,
-0.036376953125,
-0.0322265625,
-0.044189453125,
-0.043701171875,
-0.07666015625,
-0.0908203125,
0.048583984375,
-0.0505371093... | 8,328 | 8328 | |
A Bit Lost...
October 29th 2009, 04:24 PM
NBrunk
A Bit Lost...
Hello, and thanks for the help in advance.
I'm not sure where to begin for solving this problem, so I'll simply state it below and then mention how I might solve it.
Suppose that f'(x) is greater than or equal to 3 and less than or equal to... | 5 | [
-0.05908203125,
0.05322265625,
0.037109375,
-0.10791015625,
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0.162109375,
-0.00469970703125,
0.04248046875,
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0.095703125,
-0.01458740234375,
0.00909423828125,
0.01422119140625,
-0.039794921875,
0.017333984375... | 8,329 | 8329 | |
Prove the identity
September 18th 2008, 10:00 AM #1
Newbie
Joined
Sep 2008
Posts
14
Prove the identity
Hi again,
I would appreciate it a lot if anyone could tell me if this is correct:
Prove the identity:
cotθ - tanθ = 2cot2θ
cosθ/sinθ - sinθ/cosθ = 2(cosθ/sinθ)2θ
- sinθ/cosθ = 4θ
... | 4 | [
-0.052490234375,
0.06640625,
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0.051513671875,
0.0625,
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0.1025390625,
0.006256103515625,
0.0311279296875,
-0.0206298828125,
0.0688476562... | 8,330 | 8330 | |
solve for x: sinxcosx+0.5=sin^2 x
June 22nd 2009, 09:06 PM #1
Senior Member
Joined
Apr 2009
Posts
253
solve for x: sinxcosx+0.5=sin^2 x
did I do this correctly so far?
sinxcosx+0.5=sin^2 x
-sin^2 x + sinxcosx = -0.5
-sin x (sin x - cos x) = -0.5
sin x (sin x - cos x) = 0.5
If I did t... | 4 | [
-0.06201171875,
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0.07763671875,
-0.033447265625,
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0.049560546875,
0.017333984375,
-0.004608154296875,
0.0322265625,
0.0252685... | 8,331 | 8331 | |
don't code today what you can't debug tomorrow
Consider the following simple operation, where k is integer and p is prime:
int i = k % p;
Typically this will be assembled to (sorry, x86 only):
mov eax, k
cdq
idiv p
where the result is available in register EDX.
Such IDIV instruction has a latency of more ... | 4 | [
0.01324462890625,
0.0986328125,
-0.043701171875,
0.01324462890625,
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0.08203125,
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-0.03515625,
-0.0123291015625,
-0.06884765625,
-0.0299072265625,
0.05151... | 8,332 | 8332 | |
Tangent plane to double sided cone
January 28th 2009, 05:58 PM #1
Newbie
Joined
Nov 2008
Posts
14
Tangent plane to double sided cone
Given $z^2=x^2+y^2$, show that every tangent plane goes through the origin.
We know that the normal to the tangent plane is given by the grad(F) and can spilt the func... | 5 | [
0.022216796875,
-0.0123291015625,
0.043701171875,
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0.033935546875,
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-0.00555419921875,
0.07421875,
0.0162353515625,
0.0830078125,
0.068359375,
0.076171875,
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0.044921875,
-0.046142578125,
0.055419921875,
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-0.08203125,
... | 8,333 | 8333 | |
why equation, wrong
January 15th 2011, 12:25 PM
paulaa
why equation, wrong
4 sin^2(x) + 8 cos(x) = 7
1 = cosē(x)+sinēx
sinē(x) = 1-cosē(x)
we use this and replace sinē(x) with 1-cosē(x)
4(1-cosē(x))+8cos(x) = 4-4cosē(x)+8cos(x)
-4cosē(x)+8cos(x)+4 = 7
replace
[cos(x)=t] and multi... | 4 | [
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0.050048828125,
0.07421875,
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0.0111083984375,
-0.0247802734375,
-0.0966796875,
-0.0341796875,
-0.03759765... | 8,334 | 8334 | |
Finding Primitive Solutions
Date: 10/11/2000 at 02:47:11
From: J.F WETS
Subject: Extended Pythagorean equations
How do I find all the solutions for (x,y,z) belonging to Z for this?
x^2 + 5*y^2 = z^2
One solution is (4,2,6). Are there solutions with GCD(x,y) = 1?
Date: 10/11/2000 at 09:56:31
From: Doctor Rob... | 5 | [
-0.0517578125,
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-0.018798828125,
-0.0069580078125,
-0.0292... | 8,335 | 8335 | |
Solving for X
April 1st 2010, 05:00 AM
Punch
Solving for X
Given the curve $y=1-2cos^2x+cosx$ for $0<x<2\pi$. Calculate the values of x for which the curve meets the x-axis.
I don't know where I went wrong but this is my attempt, textbook answer is $x=\frac{4\pi}{3}$ and $\frac{2\pi}{3}$
Attempt
M... | 4 | [
0.0135498046875,
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0.03271484375,
-0.0306396484375,
0.017333984375,
-0.0908203125,
-0.0... | 8,336 | 8336 | |
Number Theory-GCD and Divisibility URGENT
September 8th 2008, 08:02 AM
porterhv
Number Theory-GCD and Divisibility URGENT
1. If there exists integers x and y for which ax+by=gcd(a,b), then gcd(x,y)=1.
2. Given an odd integer a, establish that a^2+(a+2)^2+(a+4)^2+1 is divisible by 2
3. Prove that for a... | 4 | [
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0.0194091796875,
-0.04... | 8,337 | 8337 | |
diagonalising a 3x3 matrix
August 12th 2008, 05:55 AM
linearalgebradunce
diagonalising a 3x3 matrix
im really struggling with this problem, i keep getting so far and then hitting a brick wall,
the question asks: diagonalise the matrix B=
[0 1 1]
[0 2 2]
[0 0 3]
in other words find an invertib... | 5 | [
-0.0147705078125,
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-0.0257568359375,
0.032958984375,
0.0... | 8,338 | 8338 | |
Bearing Problems
January 29th 2014, 10:03 PM
Smugleaf
Bearing Problems
Hello, I have a question on a bearing problem. Here's the problem:
A ship sails a distance of 76 miles in the direction S 42° E and then sails a distance of 90 miles in the direction N 48° E. Find the distance of the ship's final positio... | 4 | [
0.040283203125,
0.07763671875,
0.009765625,
-0.03466796875,
0.0142822265625,
0.054931640625,
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0.0693359375,
-0.09326171875,
0.0517578125,
0.0703125,
0.01544189453125,
-0.0169677734375,
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-0.04638671875,
0.037841796875,
-0.04931640625,
-0.034912109375,
... | 8,339 | 8339 | |
Calculus: Concepts & Contexts, Hybrid with Enhanced WebAssign Printed Access Card, 3 Semester
Buy New
Buy New from BN.com
$139.56
Used and New from Other Sellers
Used and New from Other Sellers
from $149.71
Overview
Reflecting Cengage Learning's commitment to offering value for students, this new hybrid edition ... | 4 | [
0.01953125,
-0.004486083984375,
-0.04931640625,
-0.03125,
-0.05126953125,
-0.0244140625,
0.09375,
0.002044677734375,
-0.0286865234375,
0.0093994140625,
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0.08984375,
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0.06787109375,
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-0.013671875,
0.02099609375,
-0.0... | 8,340 | 8340 | |
Lebesgue constant as condition number of polynomial interpolation
up vote 3 down vote favorite
1
Let $T = \{ x_0,\ldots,x_n \}$ be a set of $n+1$ different points in the real interval $[a,b]$. Let $X_T$ be the associated interpolation operator on $C[a,b]$: it takes a function $f \in C[a,b]$ into
the unique degree-$n$ ... | 5 | [
-0.111328125,
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0.0211181640625,
... | 8,341 | 8341 | |
((1+sinx+icosx)/(1+sinx-icos))^n
Last edited by mr fantastic; November 28th 2011 at 10:41 AM. Reason: Re-titled.
Use Euler's formula : $e^{ix}=\cos (x )+ i\cdot \sin(x)$ ,so you can rewrite expression into : $\left(\frac{1+e^{ix}}{1+e^{-ix}}\right)^{n}=\left(\frac{1+e^{ix}}{1+\frac{1}{e ^{ix}}}\right)^{n}
$...etc. Fin... | 5 | [
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0.015625,
0.0093994140625,
-0.037353515625,
0.0205078125,
0.04614257812... | 8,342 | 8342 | |
Death, math, coincidence, and Chargers football
You may have read the sad news that Junior Seau, former linebacker for the San Diego Chargers, has died of an apparent suicide. Notably, Seau was a member of the Chargers' Superbowl team in 1994.
Many articles reporting on his death have commented on an apparent coincide... | 5 | [
-0.0263671875,
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-0.0927734375,
-0.... | 8,343 | 8343 | |
Fermat's Last Theorem
June 16th 2010, 10:02 AM
RonyPony
Fermat's Last Theorem
I am having troubles showing that if you could prove Fermat's Last Theorem for n = 4 and you knew it held for any odd prime then Fermat's Last Theorem holds.
I am not entirely sure where to start...
Any help would be great!
J... | 5 | [
-0.0693359375,
0.006317138671875,
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-0.10107421875,
-0.01... | 8,344 | 8344 | |
Magic Squares with Magic "Subsquares"
June 4th 2010, 04:04 AM #1
Member
Joined
Jun 2010
From
United States
Posts
200
Magic Squares with Magic "Subsquares"
Hello All,
I was reading in my text about how one can have a magic square within a magic square. It says that we can form a magic square M th... | 5 | [
0.0086669921875,
-0.0118408203125,
-0.064453125,
-0.031494140625,
-0.11376953125,
0.060302734375,
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-0.03564453125,
-0.0478515625,
0.000774383544921875,
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0.056396484375,
0.064453125,
-0.053955078125,
-0.028076171875,
0.1083984375,
0.006744384765625,
... | 8,345 | 8345 | |
DlcSummer2008
HomePage | RecentChanges | Index | Preferences
AmpRetreat
Week 6 Problems
Math 100
Since the answer to Poolish Pride must be given as an exact answer, it seems like an algebraic strategy must be used. But... there are a lot of paths for how to get to that algebraic expression.
I'll start you off with ... | 4 | [
0.0068359375,
0.009521484375,
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0.042236328125,
-0.058837890625,
0.056640625,
-0.031494140625,
0.05053710937... | 8,346 | 8346 | |
gamma function (mathematics)
gamma function
Article Free Pass
gamma function, generalization of the factorial function to nonintegral values, introduced by the Swiss mathematician Leonhard Euler in the 18th century.
For a positive whole number n, the factorial (written as n!) is defined by n! = 1 × 2 × 3 × … × (n − ... | 4 | [
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0.05859375,
0.0029144287109375,
-0.0091552734375,
-0.0341796875,
-0.0004558563232421875... | 8,347 | 8347 | |
Two More Questions For The Night.
March 11th 2009, 11:37 PM
Uriah5356
Two More Questions For The Night.
I've been working on homework just about all afternoon and all night, getting to the point where I need sleep but before that I have questions about two more.. Questions? xD
-(19 - 3s) - (8s + 1) = 35
... | 4 | [
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0.029296875,
-0.01025390625,
0.01446533203125,
-0.06640625,
0.0495605... | 8,348 | 8348 | |
indefinite integral
April 15th 2010, 02:55 PM #1
Member
Joined
Feb 2010
Posts
98
indefinite integral
I have no idea why the homework is telling me I'm getting the wrong answer.. I'm following exactly how they did it in the book.. Let me know what you guys get
Evaluate the indefinite integral:
D... | 4 | [
0.01385498046875,
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0.09814453125,
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0.056640625,
0.044189453125,
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0.028076171875,
0.087890625,
-0.06005859375,
-0.07275390625,
-0.040283203125,
-0.0673828125,
0.01019287109375,
-0.037841796875,
0.035... | 8,349 | 8349 | |
Everywhere locally isomorphic abelian varieties
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is there a standard example of two abelian varieties $A$, $B$ over some number field $k$ which are $k_v$-isomorphic for eve... | 5 | [
-0.033935546875,
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0.031005859375,
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0.048095703125,
-0.0693359375,
0.0397... | 8,350 | 8350 | |
Inner Product - Functions.
June 17th 2008, 05:39 PM
pearlyc
Inner Product - Functions.
Show that the following does not define an inner product on $R^3$:
$<br /> <(x,y,z),(a,b,c)> = xa + 2xb + 2ay + yb + 4zc$
Define an inner product on $P_2$ by
$<p,q> = \int^1_{-1} p(x)q(x) dx$
Let $U \subsete... | 4 | [
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0.03955078125,
-0.0234375,
-0.041259765625,
-0.01312255859375,
-0.00451660... | 8,351 | 8351 | |
Analytical Geometry help please!
April 10th 2007, 12:39 AM #1
Aqua
Guest
Analytical Geometry help please!
I really hope someone can help with this.
I am afrikaans so please excuse my english names.
We have a project in Maths asking us the following:
In a rectangle ABC, where a line connects C direc... | 4 | [
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0.126953125,
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0.00811767578125,
-0.01055908203125,
-0.1162109375,
0.0213623046875,
-0.... | 8,352 | 8352 | |
Word Problems: Simple InterestAlgebraLAB: Word Problems
There are several types of interest problems. This lesson will deal with solving simple interest problems. There are four variables in a simple interest
equation
and you will be given information about three of those variables. By knowing values for three of the... | 4 | [
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-0.126953125,
0.006988525390625... | 8,353 | 8353 | |
Understanding Parallel and Perpendicular
Date: 03/23/98 at 11:37:31
From: Amanda
Subject: Parallel and perpendicular slopes
Ever since my class started using parallel and perpendicular slopes,
I've been completely lost, and when I ask for help my teacher explains
it in terms that I'm not very familiar with. Help!
-... | 4 | [
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-0.12451171875,
0.031494140625... | 8,354 | 8354 | |
Plz solve these questions.
July 14th 2008, 07:10 PM #1
Newbie
Joined
Jul 2008
Posts
10
I am in 9th class my exams are going to start so i need everyones help in solving these questions.
I have written square root 2 , square root 3
square root 3x
Question 1)2x + √2 = 3x -4 -3√2
Question... | 4 | [
-0.029296875,
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0.0361328125,
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0.0146484375,
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-0.01... | 8,355 | 8355 | |
Difficult series section - Abel/Dirichlet's Test
October 8th 2011, 07:04 AM
process91
Difficult series section - Abel/Dirichlet's Test
I'm having a lot of trouble with this section on series, as many of you who viewed and responded (thanks!) to my other posts know. I can't do about 20 of the problems provided, o... | 5 | [
-0.103515625,
-0.07177734375,
0.0341796875,
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0.02001953125,
0.040283203125,
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-0.009521484375,
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0.00543212890625,
-0.0279541015625,
-0.025390625,
-0.0458984375,
0.083984375,
-0.065429687... | 8,356 | 8356 | |
vectors
July 31st 2006, 06:00 AM
cheesepie
vectors
1) The centrifugal force acting on an object of mass m kg , with position vector r from the origin, and rotating at a constant angular velocity w radians per second is given by -mw(wXr) Newtons.
calculate the centrifugal force vector and its magnitude for an... | 5 | [
-0.055419921875,
0.0400390625,
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-0.0390625,
0.04638671875,
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0.01007080078125,
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0.03955078125,
-0.0203857421875,
-0.050048828125,
0.0703125,
-0.08740234375,
0.0089111328125,
-... | 8,357 | 8357 | |
Similar Matrices
November 5th 2006, 08:21 AM #1
Member
Joined
May 2006
Posts
148
Thanks
1
Similar Matrices
1.) Given two matrices, A and B, show that
A = [[1,1],[-1,4]], and
B =[[2,1],[1,3]] are similar.
Then, show that the matrix
C = [[3,1],[-6,-2]] and
D = [[-1,2],[1,0]] are NO... | 5 | [
-0.052001953125,
-0.053955078125,
-0.10498046875,
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0.0185546875,
-0.07958984375,
-0.0157470703125,
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0.0260009765625,
0.0157470703125,
-0.05810546875,
0.006011962890625,
-0.0177001953125... | 8,358 | 8358 | |
Simple question on proof formalism
August 20th 2010, 02:33 AM #1
Junior Member
Joined
Apr 2009
Posts
48
Simple question on proof formalism
For this particular proof I'm writing I'm relying on the fact that, for all $n \in N$, $n > 0$, the sequence $(a_n) = 2n^n$ is divergent. Of course, the result is int... | 5 | [
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0.0272216796875,
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0.07275390625,
-0.05810546875,
... | 8,359 | 8359 | |
Can someone help me with my proof?
April 5th 2010, 12:22 PM #1
Member
Joined
Mar 2010
Posts
75
Can someone help me with my proof?
Hello,
I have been working on this proof for quite some time now can someone give me some pointers?
Prove: If A is a subset of B and B intersected with C= empty set t... | 4 | [
0.04443359375,
0.0284423828125,
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0.0272216796875,
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-0.08984375,
0.049560546875,
0.06689453125,
0.0247802734375,
-0.0332... | 8,360 | 8360 | |
probability questions
December 27th 2009, 06:36 PM #1
Newbie
Joined
Dec 2009
Posts
1
probability questions
this is probability topic... give me solutions and explanations with this problem please...
1.) a person decides to take a vacation and has three places in mind : Las Vegas, the Bahamas , and H... | 4 | [
0.09619140625,
-0.0225830078125,
-0.01177978515625,
0.08056640625,
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0.054443359375,
-0.09130859375,
0.036865234375,
0.01611328125,
0.03271484375,
-0.06884765625,
0.002899169921875,
0.0576171875,
0.12353515625,
0.0220947265625,
0.0157470703125,
-0.... | 8,361 | 8361 | |
Finding Horizontal Intercepts
January 18th 2013, 11:34 PM
maca404
Finding Horizontal Intercepts
I have the function $x^4-2*x^2-1$
I have fount the dirivative
$4x^3-4x$
and all stationary points as the first part of the question asked but I am stuck on the second half it says :
(b) By using the... | 4 | [
0.0244140625,
0.019287109375,
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0.0098876953125,
0.00653076171875,
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0.0303955078125,
-0.0250244140625,
0.041015625,
-0.0361328125,
-0.072265625... | 8,362 | 8362 | |
Finding the length of a side of a triangle:
May 17th 2007, 10:52 PM #1
Newbie
Joined
May 2007
Posts
19
Finding the length of a side of a triangle:
In the above triangle ABC, line segment AD is 6, and I'm supposed to find the length of side BC.
I know I'm missing some basic knowledge about proper... | 4 | [
-0.0654296875,
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0.031005859375,
0.034912109375,
-0.05419921875,
-0.02209... | 8,363 | 8363 | |
Elements of Algebra
We haven't found any reviews in the usual places.
Popular passages
Page 242
-
... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Page 31
-
In the multiplication of whole numbers, place the multiplier under the multiplicand, an... | 4 | [
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0.021728515625,
0.08251953125,
-0.08154296875,
0.10302734375,... | 8,364 | 8364 | |
Directional derivatives
Find a vector u for which Duf(1,1) =0 Thank you.
well first for the definition of directional derivative: directional derivative of a scalar function, $f=f(x,y)$ in the direction of a unit vector, $\overrightarrow{u}=(u_1 , u_2)$ at a point $
(x_0,y_0)$is given by: $D \overrightarrow {u} f(x_0,... | 5 | [
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-0.0235595703125,
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-0.03515625,
0.00439453125,
-0.09570312... | 8,365 | 8365 | |
groups question
April 25th 2010, 03:19 PM
wutang
groups question
Can there be a homomophism f, from Z16 onto Z2+Z2?
To figure this out I tried to use the properties of subgroups of homomorphisms. If H is a subgroup Z16, then f(H) is cyclic. But all of the subgroups of Z2+Z2 are also cyclic so I am having a
... | 5 | [
0.00151824951171875,
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0.00927734375,
0.036376953125,
0.044921875,
-0.03515625,
-0.0100097656... | 8,366 | 8366 | |
Complex numbers
December 10th 2012, 07:11 PM
Tutu
Complex numbers
Hi I have 2 really really short questions and one medium length one I need help with!
1.)Does
$4isin(\frac{pi}{2}-2x) - 4cos(\frac{pi}{2}-2x)$ equal to $4isin(\frac{pi}{2}+2x) - 4cos(\frac{pi}{2}+2x)$?
2.)How do I, using complex numb... | 5 | [
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0.0235595703125,
... | 8,367 | 8367 | |
Time Independant Schrodinger Equation: Hamiltonian Query
October 27th 2010, 11:46 AM #1
Time Independant Schrodinger Equation: Hamiltonian Query
Dear Folks,
I am in the process of determing the expectation value of H the total kinetic energy...I am stuck on the following following lines....see attached. I un... | 4 | [
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-0.044921875,
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0.09912109375,
-0.061279296875,
-0.0... | 8,368 | 8368 | |
e^{y}+e^{-y}\leq 2
December 31st 2010, 05:23 PM
dwsmith
e^{y}+e^{-y}\leq 2
$e^{y}+e^{-y}\leq 2$
I am struggling to solve this inequality.
I do know $[0,x] \ x\in\mathbb{R}$
From guessing and checking, I know $\displaystyle x<\frac{1}{10}$
December 31st 2010, 05:44 PM
mr fantastic
Quote:
... | 5 | [
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0.07763671875,
0.046875,
0.0157470703125,
-0.0546875,
-0.10693359375,
... | 8,369 | 8369 | |
Create sum expression from algebraic expression
December 14th 2011, 07:23 AM #1
Newbie
Joined
Dec 2011
Posts
22
Create sum expression from algebraic expression
Hello,
I am trying to create a summation equation from this algebra equation, would it be possible?
x+2x+3x+4x+5x+6x+7x+8x+9x+10x+11x
... | 4 | [
-0.09228515625,
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0.00191497802734375,
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0.00982666015625,
-0.0224609375,
-0.0074462890625,
-0.0242919921875,
0.0... | 8,370 | 8370 | |
[SOLVED] Prove: tan(A+45) = (1+tanA)/(1-tanA)
April 17th 2008, 06:52 AM #1
Newbie
Joined
Apr 2008
Posts
18
[SOLVED] Prove: tan(A+45) = (1+tanA)/(1-tanA)
Prove: tan(A+45) = (1+tanA)/(1-tanA)
Please i need help, i know that you start with the RHS ... but i do not know.
Also try to work with only ... | 4 | [
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0.044189453125,
0.08251953125,
0.053466796875,
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0.0028076171875,
0.0615234375,
0.02783203125,
-0.0205078125,
-0.03125,
0.0252685546875,
-0.013... | 8,371 | 8371 | |
Vectors and Linear Combinations
Date: 01/25/99 at 21:02:53
From: Stacy Doud
Subject: Plane equations
I cannot explain the following statement. If vector v0 = (x0, y0, z0)
and vector v1 = (x1, y1, z1) both satisfy the linear equation ax + by
+ cz = d, then so does mv0 + nv1, provided that m + n = 1.
Is this because ... | 4 | [
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0.0478515625,
-0.04345703125,
... | 8,372 | 8372 | |
Addition and substraction of algebraic fractions -urgent questions
September 19th 2010, 11:18 PM
PythagorasNeophyte
Addition and substraction of algebraic fractions -urgent questions
A very good day to everyone here on Math Help Forum!
I have a few questions related to algebraic fractions. They are as the fo... | 4 | [
-0.06494140625,
0.0194091796875,
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0.09375,
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0.0113525390625,
0.005584... | 8,373 | 8373 | |
INtegrals logarithm
June 27th 2007, 02:19 AM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
INtegrals logarithm
kindly check this integral:
$\int \frac{(\log_{3}x)^2}{x} dx$
let u = $\log_{3}x$
du = $\frac{\log_{3}e}{x}dx$
$=\frac{1}{\log_{3}e}\int u^2 du$
$=\frac{\... | 5 | [
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0.03125,
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0.014404296875,
-0.01055908203125,
-0.0751953125,
0... | 8,374 | 8374 | |
Math Help
April 23rd 2009, 11:30 AM #1
Ellipses
Given $0< a \leq b,$ define $\underline{\psi}:[0, 2 + \infty) \times [0, 2 \pi] \rightarrow \mathbb{R}^2$ by $\underline{\psi}(r, \theta):=(arcos(\theta),br sin(\theta)).$
Given $0 \leq \theta_1< \theta_2 \leq 2 \pi$, calculate the area of the sector of the el... | 5 | [
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0.01953125,
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0.01397705078125,
0.04443359375,
-0.0159912109375,
-0.0142822265625,
0.01416015625,
0.1259765625,
-0.054931640625,
-0.0... | 8,375 | 8375 | |
Exponential problem
March 21st 2007, 02:28 PM #1
Junior Member
Joined
Mar 2007
Posts
32
Hi,
I'm stuck in this problem. Can somebody help me?
After discontinuing all advertising for a certain product in 1994 ,the manufacturer noted that sales began to drop according to the model
s = 500,000/... | 4 | [
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0.0634765625,
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0.0712890625,
0.01434326171875,
0.00860595703125,
-0.00885009765625,
-0.1142578125,
... | 8,376 | 8376 | |
A Garden Variety of Bloom Filters
In this article, I explain how Bloom filters work and introduce several variants that evolved as a result of extensive academic treatment of this topic. Moreover, I present libbf, an implementation
of these Bloom filters as a C++11 library.
Whenever you have a set or list, and sp... | 4 | [
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0.032470703125,
0.02001953125,
0.0717773... | 8,377 | 8377 | |
IEEE 754 multiplication and addition
Technology/ Code /
To me, programming has always been an exercise in understanding blackboxes. About taking systems apart and figuring out their internal workings. And although this teaches you about how other
programmers think and work it does take away some of the amazement you ... | 5 | [
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-0.0390625,
-0.033203125,
-0.034423828125,
-0.08056640625,
0.07568359... | 8,378 | 8378 | |
Testing for differences in distribution tails to test for differences in 'maximum' lifespan
Abstract
Background
Investigators are actively testing interventions intended to increase lifespan and wish to test whether the interventions increase maximum lifespan. Based on the fact that one cannot be assured of
observing... | 4 | [
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0.03369140625,
-0.016357421875,
... | 8,379 | 8379 | |
cos^2(t)y'+4y=5
February 14th 2014, 09:30 PM
JC05
cos^2(t)y'+4y=5
I'm kind of stuck on this problem. The problem given is cos^2(t)y' + 4y = 5 , where y(0) = 6
So what I got are no where near the choices give.
$y' + \frac{4y}{cos^2(t)} = 5cos^2(t)$
$\frac{dy}{dt} + \frac{4y}{cos^2(t)} = 5cos^2(t)$
... | 5 | [
-0.060791015625,
0.031494140625,
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0.003082275390625,
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0.0087890625,
-0.06591796875,
0.035... | 8,380 | 8380 | |
Choosing 4 cards of different suits and different values from a deck of 52 cards.
October 23rd 2009, 08:10 AM
ashwinkumardp
Choosing 4 cards of different suits and different values from a deck of 52 cards.
Hello All,
Please help me solve this problem:
How many ways are there to choose 4 cards of differe... | 4 | [
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0.09033203125,
-0.03173828125,
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-0.044921875,
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0.061767578125,
-0.005645751953125,
-0.04443359375,
-0.0... | 8,381 | 8381 | |
When is a sheaf of smooth functions acylic?
up vote 4 down vote favorite
3
Let $G$ be a Lie group, and let $\underline{G}$ denote the sheaf of smooth $G$-valued maps, i.e. for a smooth manifold $M$ we have $G(M) = C^\infty(M,G)$.
What are conditions on $G$ that imply that $\underline{G}$ is acyclic, i.e. the sheaf co... | 5 | [
-0.09765625,
0.00347900390625,
0.005035400390625,
0.10205078125,
0.0400390625,
0.02294921875,
0.002838134765625,
-0.036376953125,
-0.0615234375,
-0.05419921875,
0.11474609375,
-0.03466796875,
-0.0206298828125,
-0.052734375,
0.03857421875,
-0.013671875,
0.032470703125,
0.00720214843... | 8,382 | 8382 | |
Toric varieties as quotients of affine space
up vote 8 down vote favorite
7
One way to define toric varieties is as quotients of affine $n-$space by the action of some torus. However, this is not strictly true as we need to throw away "bad points" which ruin this
construction.
For example consider the construction of... | 4 | [
-0.0830078125,
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0.00506591796875,
-0.06298828125,
0.01422119140625,
0.029541015625,
0.0073852539062... | 8,383 | 8383 | |
Solving derivative and integral using calculus fundamental theorem
July 3rd 2010, 11:16 AM #1
Member
Joined
May 2010
Posts
241
Solving derivative and integral using calculus fundamental theorem
The statement says:using the calculus fundamental theorem find:
$\displaystyle\frac{d}{dx}(\displaystyle\in... | 5 | [
0.0546875,
0.000911712646484375,
0.00665283203125,
-0.07958984375,
0.025390625,
-0.1103515625,
-0.051025390625,
-0.04443359375,
-0.0264892578125,
0.0242919921875,
0.06640625,
-0.0181884765625,
-0.0302734375,
0.091796875,
-0.0137939453125,
-0.03466796875,
0.06494140625,
0.0111083984... | 8,384 | 8384 | |
Uniform Continuity on an Interval
Basically, it can't be uniformly continuous in that interval because the slope goes to (negative) infinity as x goes to zero. To prove this rigorously, remember the definition of uniform continuity:
for any $\epsilon>0$, there is a fixed $\delta$ such that $|x-y|<\delta$ implies $|\fra... | 5 | [
0.0341796875,
0.010986328125,
-0.01116943359375,
-0.00836181640625,
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0.0303955078125,
-0.0022125244140625,
-0.053955078125,
-0.01263427734375,
0.0054931640625,
0.1064453125,
0.0303955078125,
-0.0050048828125,
0.02685546875,
0.0155029296875,
-0.095703125,
0.107421875... | 8,385 | 8385 | |
Maths- Trigonometry Exact Values
May 2nd 2014, 05:22 AM #1
Newbie
Joined
May 2014
From
Australia
Posts
1
Hello, I just started this topic and is already struggling with a few questions, that I need help kindly need help with, as I am unable to get the correct answer.
Question 1) Find the exact val... | 4 | [
-0.051025390625,
-0.010986328125,
-0.0859375,
-0.0390625,
0.0224609375,
0.025390625,
-0.036376953125,
0.09716796875,
0.0361328125,
0.019775390625,
0.059326171875,
-0.05126953125,
0.03076171875,
-0.005523681640625,
0.055419921875,
-0.03466796875,
0.033447265625,
-0.041748046875,
-... | 8,386 | 8386 | |
Tides and Simple Harmonic Motion
Date: 08/11/98 at 22:08:27
From: William Liao
Subject: Simple Harmonic Motion
Dr. Maths,
The question is as follows:
It is accepted that the rise and fall of the tide at a particular inlet
is simple harmonic, with the time difference between successive high
tides being 10 hours. Th... | 5 | [
-0.09423828125,
0.08154296875,
0.130859375,
-0.08251953125,
-0.0712890625,
0.021484375,
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0.0986328125,
-0.008056640625,
-0.04052734375,
-0.005096435546875,
-0.10205078125,
0.0169677734375,
-0.012939453125,
0.0478515625,
0.07421875,
-0.0238037109375,
0.043212890625,
... | 8,387 | 8387 | |
Find the number of integral solutions
December 3rd 2011, 07:30 AM #1
Member
Joined
Sep 2011
Posts
114
Find the number of integral solutions
Find the number of integral solutions of x1 + x2 + x3 + x4 = 28
where each xi ≥ 1, and in addition each xi ≤ 8. Write your answer in terms of binomial coeffici... | 5 | [
0.09814453125,
-0.02001953125,
0.02099609375,
-0.00341796875,
-0.021484375,
0.035400390625,
0.1162109375,
0.08837890625,
-0.0123291015625,
-0.020751953125,
-0.040283203125,
-0.0693359375,
0.07763671875,
-0.01312255859375,
-0.0191650390625,
0.03857421875,
-0.044677734375,
-0.0800781... | 8,388 | 8388 | |
Integration!
December 4th 2012, 09:17 AM #1
Member
Joined
Nov 2012
From
Singapore
Posts
180
Integration!
How do I integrate sin^4(2x) ?
Note: The 4 is the power but the 2x is not.
I tried and I got 3/8x - (1/8)sin4x + (1/64)sin8x + c but the answer is 1/32(48x-4sin4x+sin8x)+c..
Re: Integrat... | 5 | [
0.051513671875,
0.03857421875,
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0.06005859375,
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0.012451171875,
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0.09521484375,
0.0142822265625,
... | 8,389 | 8389 | |
Find V of cone z=ksqrt(x^2+y^2) bounded by z=h using spherical coordinates
March 26th 2013, 08:41 PM
lytwynk
Find V of cone z=ksqrt(x^2+y^2) bounded by z=h using spherical coordinates
We were given this exercise in class to take home but I am a bit confused with it. If anyone could help I would appreciate it.
... | 4 | [
0.0108642578125,
0.0986328125,
0.0184326171875,
-0.0179443359375,
0.00009202957153320312,
-0.028076171875,
-0.0005035400390625,
0.016845703125,
-0.004608154296875,
0.017822265625,
-0.03515625,
0.044921875,
-0.0283203125,
0.0458984375,
-0.032958984375,
-0.05419921875,
-0.033203125,
... | 8,390 | 8390 | |
equation of circle
October 20th 2009, 07:40 AM #1
Member
Joined
Aug 2009
Posts
211
equation of circle
the question i have is: the points A(2, 5) and B(-4, 13) lie at opposite ends of a diameter of a circle with centre C
a) find the radius of the circle- i did this by finding the diameter which was 1... | 4 | [
-0.052490234375,
0.045166015625,
-0.02783203125,
0.0174560546875,
0.0299072265625,
0.045654296875,
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0.1181640625,
0.08740234375,
-0.053466796875,
0.09814453125,
-0.01190185546875,
-0.023193359375,
0.07958984375,
-0.032470703125,
0.01531982421875,
-0.06103515625,
-... | 8,391 | 8391 | |
Values of Symbols for Which Fractions are Undefined
Here we simply remind you that several properties of fractions of the following special forms continue to apply to fractions in which the numerator and/or denominator are algebraic expressions. We
have already discussed and illustrated these properties with reference... | 4 | [
-0.0810546875,
-0.006378173828125,
-0.033447265625,
0.09912109375,
0.0240478515625,
-0.0283203125,
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0.10107421875,
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0.038818359375,
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-0.01043701171875,
0.0712890625,
0.0072021484375,
0.045166015625,
-0.0284423828125,
-0... | 8,392 | 8392 | |
Proving Trig Identities
February 25th 2009, 08:41 AM
lil_cookie
Proving Trig Identities
Hey Guys and Girls!
I need some help answering one of my homework questions. This is from Grade 12u Advanced Functions.
I've done other examples, but this one seems to confuse me.
Prove the identity:
sinxcos... | 4 | [
-0.0703125,
0.042236328125,
0.02880859375,
0.06884765625,
-0.0225830078125,
0.00074005126953125,
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-0.076171875,
0.01708984375,
-0.0091552734375,
0.11083984375,
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0.04443359375,
0.06982421875,
0.029541015625,
-0.015869140625,
0.03125,
0.0174560546875,... | 8,393 | 8393 | |
Volume Integral - Divergence theorem
November 16th 2011, 12:32 PM
Darkprince
Volume Integral - Divergence theorem
Let S to be the closed surface of the cone given by x^2+y^2<=z^2, where 0<=z<=h
Let n be a unit normal to S, pointing outward from the cone.
I have to evaluate the surface integral (r dot pr... | 5 | [
-0.01806640625,
0.018310546875,
-0.004364013671875,
-0.0201416015625,
0.04638671875,
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0.01806640625,
0.1259765625,
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0.01312255859375,
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0.068359375,
0.0517578125,
0.08349609375,
-0.0255126953125,
-0.0625,
-0.0625,
0.0155029296875,
-0.04... | 8,394 | 8394 | |
Poisson process probabilites
April 23rd 2010, 03:32 AM
charikaar
Poisson process probabilites
A shop opens at 9am and shuts at 5pm. While the shop is open customers arrive as a Poisson process of rate 20 per hour.
a) Calculate the following probabilities:
i) P(no customers enter the shop before 9:03am)... | 5 | [
-0.0206298828125,
0.03271484375,
-0.0205078125,
-0.007476806640625,
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0.0927734375,
-0.0283203125,
0.047119140625,
0.04052734375,
0.1484375,
-0.0159912109375,
0.04296875,
0.0299072265625,
0.10400390625,
-0.0233154296875,
0.0299072265625,
-0.038574... | 8,395 | 8395 | |
Optimisation of area
August 18th 2007, 06:10 PM
mathsB
Optimisation of area
Hi guys, heres another great optimisation problem Just having a bit of trouble getting the right equations etc any help appreciated. Also as is stated in the brackets a net of the shape is
required. As usual any help is appreciated. ... | 5 | [
0.0177001953125,
0.053955078125,
-0.0306396484375,
-0.07373046875,
-0.07958984375,
-0.01385498046875,
-0.028564453125,
0.1015625,
-0.032958984375,
-0.0732421875,
-0.10498046875,
0.02294921875,
0.04638671875,
0.08837890625,
-0.058349609375,
0.0269775390625,
-0.00341796875,
0.0439453... | 8,396 | 8396 | |
Matrix operator proof - expression clarification
August 29th 2009, 05:17 AM #1
Newbie
Joined
Aug 2009
Posts
1
Matrix operator proof - expression clarification
Hi everyone,
The question I am trying to solve is as follows:
"ax is the matrix operator that, when operating on any other vector, produ... | 5 | [
-0.0302734375,
-0.023193359375,
-0.037841796875,
-0.06591796875,
-0.05126953125,
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-0.09423828125,
-0.0216064453125,
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0.017578125,
0.0120849609375,
-0.0021820068359375,
-0.00872802734375,
0.1591796875,
0.025634765625,
0.00123... | 8,397 | 8397 | |
proper action and amenable action
up vote 2 down vote favorite
2
We say that an action of a (discrete) group G on a locally compact space X is called proper if the map from $G\times X$ to $X\times X$ defined by $(g,x)\mapsto (gx,x)$ is proper. Why is a proper
action amenable? (see On the Baum-Connes assembly map for d... | 4 | [
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0.025634765625,
0.05859375,
-0.023193359375,
-0.05... | 8,398 | 8398 | |
Help with Linear Algebra(Eigenvalues)
February 24th 2008, 11:12 AM
nafix
Help with Linear Algebra(Eigenvalues)
I'm having trouble with a few of the harder linear algebra concepts from the eigenvalue chapter.
1) Using the matrix A= | 3 -2 |
| 1 2 |
verify the Cayley Hamilton theorem.
2) Given the... | 5 | [
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0.00048828125,
-0.0186767578125,
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-0.031982421875,
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0.0238037109375,
0.00140380859375,
0.01300048828125,
-0.05419921875,
-0.057373... | 8,399 | 8399 |