Homework Answers
1. Use the Limit Comparison Test to prove that the series S(a, b) converges unless a or b is a negative integer. Why must this restriction on a and b be imposed? 2. In all that follows we assume with...
1. Use the Limit Comparison Test to prove that the series S(a, b) converges unless a or b is a negative integer. Why must this restriction on a and b be imposed? 2. In all that follows we assume without losing generality that a >b. Use partial fractions to show that 3. To get warmed up, write the first few terms of the series S(1,0) k(k + I )-4 k--J . Write the nth term of the sequence of partial...
a,b,c and d (-1) 4. (3 points each) Consider the series n° +2n +3 (a) Prove...
a,b,c and d
(-1) 4. (3 points each) Consider the series n° +2n +3 (a) Prove that this series converges absolutely. (b) Show that this series satisfies all three conditions of the Alternating Series Test. HI11-2212, JL ILG-2020 Test #3 (c) What value of n guarantees that the partial sum 8, approximates the sum of this series to within an accuracy of 0.01? (d) Find the sum of the series with this accuracy (by finding the appropriate partial sum sn,...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
3. At the beginning of 8.6, we investigated the graph of f(x) = ? and the...
3. At the beginning of 8.6, we investigated the graph of f(x) = ? and the graphs of several partial sums of its series 3x". You are now going to investigate the graphs of (-1)**(x - 2)", which is the series representation of the function f(x) = -centered at a = 2 a. Find the radius and interval of convergence (x - 2)". Show all your work. (3 points) b. Find the first five terms of Sn for Ž (-1)**(x-2)",...
Accumulation Pattern Problem 2 Consider the code below. 1 2 3 4 5 6 7 8...
Accumulation Pattern Problem 2 Consider the code below. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 labs = ['lab1', 'lab2', 'lab3', 'lab4', 'lab5', 'lab6', 'lab7', 'lab8', 'lab9'] graded = '' for lab in labs: lab_num = int(lab[3]) if lab_num < 4: graded = graded + lab + ' is simple\n' elif lab_num < 7: graded = graded + lab + ' is ok\n' else: graded = graded + lab + ' is complex\n' ...
1. Write electron configuration for …. DO NOT use the core notation. Write out the last...
1. Write electron configuration for …. DO NOT use the core notation. Write out the last one so it would match the Box diagram. ( for example, write ….2p1,1,0 instead of 2p2). a) Sn b) Ba c)Nb d) Mg 2. Write electron configuration for …. Use the core notation. Write out the last one so it would match the Box diagram. ( for example, write ….2p1,1,0 instead of 2p2). a) Sn a) Zr Co Kr As 3. How many families...
this is Matlab. Three images are consecutive and connected. I NEED PROBLEM 2 Chapter 6 Programming in Matlab Week 6 THE ALTERNATING HARMONIC SERIES The alternating harmonic series converges to the na...
this is Matlab. Three images are consecutive and connected. I
NEED PROBLEM 2
Chapter 6 Programming in Matlab Week 6 THE ALTERNATING HARMONIC SERIES The alternating harmonic series converges to the natural log of 2 +--...-In(2) = 0.6931471806 -1--+ Because of this, we can use the alternating harmonic series to approximate the In(2). But how far out do you have to take the series to get a good approximation of the final answer? We can use a while loop to...
All but dont work on the julia box one which is 2 i think so 1-3-4
all
but dont work on the julia box one which is 2 i think so
1-3-4
Fitchburg State University Department of Mathematics Project #3 Math 2400: Calculus II April 11, 2019 project for Calculus II. You may work on this with up to one other fellow student. Answer all questions completely and type or neatly write out. The final project should be turned in by Tueeday, April 23. How is it that we generate For this project it helps to...
6. We want to use the Integral Test to show that the positive series a converges....
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
Please answer "b" only. %Example code function plotFS(m); %m = user provided number of terms desired in the Fou...
Please answer "b" only.
%Example code
function plotFS(m);
%m = user provided number of terms desired in the Fourier series;
%this code computes the Fourier series of the function
%f(x)=0, for -pi<= x <0,
% =cos(x) for 0<= x <pi
%generate the interval from -pi to pi with step size h;
h = pi/100;
xx1=[-pi:h:0];
xx2=[0:h:pi];
xx = [xx1, xx2];
%generate the given function f so that it can be graphed
ff = [zeros(size(xx1)), cos(xx2)];
%compute the first partial sum...
1. Use the Limit Comparison Test to prove that the series S(a, b) converges unless a or b is a negative integer. Why must this restriction on a and b be imposed? 2. In all that follows we assume without losing generality that a >b. Use partial fractions to show that 3. To get warmed up, write the first few terms of the series S(1,0) k(k + I )-4 k--J . Write the nth term of the sequence of partial...
a,b,c and d
(-1) 4. (3 points each) Consider the series n° +2n +3 (a) Prove that this series converges absolutely. (b) Show that this series satisfies all three conditions of the Alternating Series Test. HI11-2212, JL ILG-2020 Test #3 (c) What value of n guarantees that the partial sum 8, approximates the sum of this series to within an accuracy of 0.01? (d) Find the sum of the series with this accuracy (by finding the appropriate partial sum sn,...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
3. At the beginning of 8.6, we investigated the graph of f(x) = ? and the graphs of several partial sums of its series 3x". You are now going to investigate the graphs of (-1)**(x - 2)", which is the series representation of the function f(x) = -centered at a = 2 a. Find the radius and interval of convergence (x - 2)". Show all your work. (3 points) b. Find the first five terms of Sn for Ž (-1)**(x-2)",...
this is Matlab. Three images are consecutive and connected. I
NEED PROBLEM 2
Chapter 6 Programming in Matlab Week 6 THE ALTERNATING HARMONIC SERIES The alternating harmonic series converges to the natural log of 2 +--...-In(2) = 0.6931471806 -1--+ Because of this, we can use the alternating harmonic series to approximate the In(2). But how far out do you have to take the series to get a good approximation of the final answer? We can use a while loop to...
all
but dont work on the julia box one which is 2 i think so
1-3-4
Fitchburg State University Department of Mathematics Project #3 Math 2400: Calculus II April 11, 2019 project for Calculus II. You may work on this with up to one other fellow student. Answer all questions completely and type or neatly write out. The final project should be turned in by Tueeday, April 23. How is it that we generate For this project it helps to...
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
Please answer "b" only.
%Example code
function plotFS(m);
%m = user provided number of terms desired in the Fourier series;
%this code computes the Fourier series of the function
%f(x)=0, for -pi<= x <0,
% =cos(x) for 0<= x <pi
%generate the interval from -pi to pi with step size h;
h = pi/100;
xx1=[-pi:h:0];
xx2=[0:h:pi];
xx = [xx1, xx2];
%generate the given function f so that it can be graphed
ff = [zeros(size(xx1)), cos(xx2)];
%compute the first partial sum...
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