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(10 points) Let an- Find the smallest number M such that (a) an-1 0.001 for n M (b) lan -10.00001 for n M (c) Now u...
a) Let f : R → R be a function and CER. Definition 1. The lim+oe an A if for every e>0 there erists a M EN such that for all n 2 M we have lan - A<E Complete the following statement with ou...
a) Let f : R → R be a function and CER. Definition 1. The lim+oe an A if for every e>0 there erists a M EN such that for all n 2 M we have lan - A<E Complete the following statement with out using negative words (you do not have to prove it): The lim, 10 10if R).Consider the following subsets of P: (b) Let P2-(f(t)- ao at + azt | ao, a1, a2 and Notice that Y...
10.2 Series: Problem 5 Previous Problem Problem List Next Problem (1 point) Let s-Σ an be an infinite series such that SV-: 4-12 TL 1 10 16 (a) What are the values of Σ an and Σ an? n-4 10 16 n 4 (b)...
10.2 Series: Problem 5 Previous Problem Problem List Next Problem (1 point) Let s-Σ an be an infinite series such that SV-: 4-12 TL 1 10 16 (a) What are the values of Σ an and Σ an? n-4 10 16 n 4 (b) What is the value of as? a3 (c) Find a general formula for an TL (d) Find the sum an TL Note: You can earn partial credit on this problem Preview My Answers Submit Answers You...
Previous Problem Problem List Next Problem 3 sin(x) x2 (1 point) Find lim 10 х Enter...
Previous Problem Problem List Next Problem 3 sin(x) x2 (1 point) Find lim 10 х Enter I for o, -I for -o, and DNE if the limit does not exist. Answer: Preview My Answers Submit Answers You have attempted this problem 0 times. You have attemate van
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to...
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
(10 points) Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter 1...
(10 points) Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter 1 as your answer. If decreasing, enter -1 as your answer. If not monotonic, enter 0 as your answer n + 3. an +2 2n +8 Note: In order to get credit for this problem all answers must be correct You have attempted this problem 0 times. You have unlimited attempts remaining. 12 F1O F9 F8 F6 F5
(10 points) Determine whether the sequences are...
(1 point) In this problem we consider three functions / Each of them is continuous at:...
(1 point) In this problem we consider three functions / Each of them is continuous at: -0.ie.. lim f() = f(0). In order to show by the €/ definition that this is true one has to give a definition of in terms of e such that 12-01<8 = If(x) - (0) << Match these choices of 8 1.8 - 2.8 3.8= with the functions so that that choice of establishes continuity of the function (at 1-0). You can use each...
(5 pts) Consider the function f(x) = 8e7r. We want to find the Taylor series of...
(5 pts) Consider the function f(x) = 8e7r. We want to find the Taylor series of f(x) at x = x = -5. (a) The nth derivative of f(x)is f(n)(x) = 8(7)^ne^(7x) At = -5, we get f(n)(-5) = 8(7)^ne^-35 (c) The Taylor series at x = -5 is too T(x) = (3/7^n](^-35)n!/(n+ (x + 5)” n=0 (d) To find the radius of convergence, we use the ratio test. an+1 L= lim n+oo 1/(x+1) |x + 51 an and so...
(1 point) Let f(x) = xvx + 6. Answer the following questions. 1. Find the average...
(1 point) Let f(x) = xvx + 6. Answer the following questions. 1. Find the average slope of the function f on the interval [-6,0). Average Slope: m= 2. Verify teh Mean Value Theorem by finding a number c in (-6,0) such that '(c) = m. Answer: m20-mingla-0165 / application_-_mean_value_theorem / 2 Application - Mean Value Theorem: Problem 2 Next Problem Previous Problem Problem List (1 point) Consider the function f(x) = x2 - 4x + 9 on the interval...
Homework 4-3: Problem 4 Previous Problem List Next (1 point) Find the general solution to y"...
Homework 4-3: Problem 4 Previous Problem List Next (1 point) Find the general solution to y" + 4y' + 29y = 0. In your answer, use e, and to denote arbitrary constants and t the independent variable. Enter as c1 ando as c2. Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor Page generated at 03/15/2020 at 09:28pm EDT 1998-2015 theme math 4 ww_version 2.10 pg_version 2.10The We Work Project...
Homework7: Problem 24 Problem List Next Problem Previous Problem (1 point) Consider the initial value problem my...
Homework7: Problem 24 Problem List Next Problem Previous Problem (1 point) Consider the initial value problem my" +cy'+ky F(t) , (0 ) 0, y y'(0)-0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m 2 klograms, c8 kilograms per second, k 80 Newtons per meter, and the applied force in Newtons is ifosts/2 30 F(0) if t> /2. 0 remain...
a) Let f : R → R be a function and CER. Definition 1. The lim+oe an A if for every e>0 there erists a M EN such that for all n 2 M we have lan - A<E Complete the following statement with out using negative words (you do not have to prove it): The lim, 10 10if R).Consider the following subsets of P: (b) Let P2-(f(t)- ao at + azt | ao, a1, a2 and Notice that Y...
10.2 Series: Problem 5 Previous Problem Problem List Next Problem (1 point) Let s-Σ an be an infinite series such that SV-: 4-12 TL 1 10 16 (a) What are the values of Σ an and Σ an? n-4 10 16 n 4 (b) What is the value of as? a3 (c) Find a general formula for an TL (d) Find the sum an TL Note: You can earn partial credit on this problem Preview My Answers Submit Answers You...
Previous Problem Problem List Next Problem 3 sin(x) x2 (1 point) Find lim 10 х Enter I for o, -I for -o, and DNE if the limit does not exist. Answer: Preview My Answers Submit Answers You have attempted this problem 0 times. You have attemate van
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
(10 points) Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter 1 as your answer. If decreasing, enter -1 as your answer. If not monotonic, enter 0 as your answer n + 3. an +2 2n +8 Note: In order to get credit for this problem all answers must be correct You have attempted this problem 0 times. You have unlimited attempts remaining. 12 F1O F9 F8 F6 F5
(10 points) Determine whether the sequences are...
(1 point) In this problem we consider three functions / Each of them is continuous at: -0.ie.. lim f() = f(0). In order to show by the €/ definition that this is true one has to give a definition of in terms of e such that 12-01<8 = If(x) - (0) << Match these choices of 8 1.8 - 2.8 3.8= with the functions so that that choice of establishes continuity of the function (at 1-0). You can use each...
(5 pts) Consider the function f(x) = 8e7r. We want to find the Taylor series of f(x) at x = x = -5. (a) The nth derivative of f(x)is f(n)(x) = 8(7)^ne^(7x) At = -5, we get f(n)(-5) = 8(7)^ne^-35 (c) The Taylor series at x = -5 is too T(x) = (3/7^n](^-35)n!/(n+ (x + 5)” n=0 (d) To find the radius of convergence, we use the ratio test. an+1 L= lim n+oo 1/(x+1) |x + 51 an and so...
(1 point) Let f(x) = xvx + 6. Answer the following questions. 1. Find the average slope of the function f on the interval [-6,0). Average Slope: m= 2. Verify teh Mean Value Theorem by finding a number c in (-6,0) such that '(c) = m. Answer: m20-mingla-0165 / application_-_mean_value_theorem / 2 Application - Mean Value Theorem: Problem 2 Next Problem Previous Problem Problem List (1 point) Consider the function f(x) = x2 - 4x + 9 on the interval...
Homework 4-3: Problem 4 Previous Problem List Next (1 point) Find the general solution to y" + 4y' + 29y = 0. In your answer, use e, and to denote arbitrary constants and t the independent variable. Enter as c1 ando as c2. Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor Page generated at 03/15/2020 at 09:28pm EDT 1998-2015 theme math 4 ww_version 2.10 pg_version 2.10The We Work Project...
Homework7: Problem 24 Problem List Next Problem Previous Problem (1 point) Consider the initial value problem my" +cy'+ky F(t) , (0 ) 0, y y'(0)-0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m 2 klograms, c8 kilograms per second, k 80 Newtons per meter, and the applied force in Newtons is ifosts/2 30 F(0) if t> /2. 0 remain...
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