v M 109 % R CourseHero X | @ ChaGPT X | [ Mathway|Calculus Problems X | 4 - 2 X & = 2% myopenmath.com/assess2/?cid=2320228aid=16355219%/skip/3 8 ) O 40 T 2 +4 2 {a) Evaluate the integral: f o Your answer should be in the form ki, where k is an integer. What is the value of k7 Hint: arctan(r) Y e 4 k=[5 o ib) Now, let's evaluate the same integral using a power series. First, find the power series for the function 40 f(::] = TH' Then, integrate it from 0 to 2, and call the result 5. S should be an infinite series. 'What are the first few terms of & ay = *% | o =2 Jm {c) The answers to part {a) and (b} are equal (why?}. Hence, if you divide your infinite series from (b) by k {the answer to (a)), you have found an estimate for the value of T in terms of an infinite series. Approximate the value of T by the first 5 terms. {d) What is the upper bound for your error of your estimate if you use the first 12 terms? (Use the alternating series estimation. ) Question Help: & Video o @ @ O ) O w2 14w v M 10.6 X * Course Hero * ChatGPT * | DO Mathway | Calculus Problem S * | + X G 9% myopenmath.com/assess2/?cid=232022&aid=16355216#/skip/5 myOpenMath Home | My Classes . | User Settings | Log Out Bryan HERNANDEZ Course | Forums | Calendar | Gradebook Home > Math 262 Calculus II Summer 2024 > Assessment 10.6 Save progress Done Score: 4/5 Answered: 5/5 X Question 5 0/1 pt 1 0 Details Score on last try: 0 of 1 pts. See Details for more. You can retry this question below For the series below calculate find the number of terms n that must be added in order to find the sum to the indicated accuracy. (-1)"2 n= 1 n1.1 | error| Next question Get a similar question You can retry this question below The Taylor series for f(x) = In(sec(x)) at a = 0 is > on(x)". n=0 Find the first few coefficients. CO = 0 C1 0 01 Cq = *3 = 0 CA 1 12 Find the exact error in approximation (sec(-0.1)) by its fourth degree Taylor polynomial at a = 0. The error is Question Help: DVideo Submit Question Jul 22 11:48 8v M 10.11 X * Course Hero * ChatGPT * | DO Mathway | Calculus Problem S * | + X F G myopenmath.com/assess2/?cid=232022&aid=16355221#/skip/4 myOpenMath Home | My Classes . | User Settings | Log Out Bryan HERNANDEZ Course | Forums | Calendar | Gradebook Home > Math 262 Calculus II Summer 2024 > Assessment 10.11 Save progress Done Score: 3.33/6 Answered: 5/6 Question 4 0.5/1 pt 0 3 2 2 0 Details Score on last try: 0.5 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below Find T's (x): Taylor polynomial of degree 5 of the function f (x) = cos(x) at a = 0. Ts(x) = 1- Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.000848 of the right answer. Assume for simplicity that we limit ourselves to (x| Math 262 Calculus II Summer 2024 > Assessment 10.11 Save progress Done Score: 3.33/6 Answered: 5/6 Question 5 0/1 pt 0 5 0 Details Assume that sin (@) equals its Maclaurin series for all x. Use the Maclaurin series for sin (8x-) to evaluate the integral 0.75 sin (8x-) dx Your answer will be an infinite series. Use the first two terms to estimate its value. Question Help: Video Submit Question Jul 22 11:49 8v M 10.11 X * Course Hero * ChatGPT * | DO Mathway | Calculus Problem S * | + X F G myopenmath.com/assess2/?cid=232022&aid=1635 5221#/skip/6 myOpenMath Home | My Classes . | User Settings | Log Out Bryan HERNANDEZ Course | Forums | Calendar | Gradebook Home > Math 262 Calculus II Summer 2024 > Assessment 10.11 Save progress Done Score: 3.33/6 Answered: 5/6 X Question 6 0/1 pt 0 4 2 2 0 Details Score on last try: 0 of 1 pts. See Details for more. Get a similar question You can retry this question below Let F(x) - / sin(2t?) at. Find the MacLaurin polynomial of degree 7 for F(x). .0.75 Use this polynomial to estimate the value of / sin(2x?) dx. Question Help: DVideo Submit Question DO 3 0 Jul 22 11:49 8v M 10.10 X * Course Hero * ChatGPT * | DO Mathway | Calculus Problem S * | + X C myopenmath.com/assess2/?cid=232022&aid=1635 5220#/skip/8 myOpenMath Home | My Classes . | User Settings | Log Out Bryan HERNANDEZ Course | Forums | Calendar | Gradebook Home > Math 262 Calculus II Summer 2024 > Assessment 10.10 Progress saved Done Score: 7.7/11 Answered: 9/11 X Question 8 0/1 pt 0 4 2 1 0 Details Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below Find a simplified series representation of atedz answer = Question Help: DVideo Submit Question Jul 22 11:49 8v M 10.10 * Course Hero * ChatGPT * DO Mathway | Calculus Problem S x |+ X G 2% myopenmath.com/assess2/?cid=232022&aid=1635 5220#/skip/9 10.10 Save progress Done & Voce Score: 7.7/11 Answered: 9/11 Question 9 0.7/1 pt 0 4 # 2 0 Details Score on last try: 0.7 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below Suppose g is a function which has continuous derivatives, and that g(0) = 8, g'(0) = -5, g"(0) = -6 and g"(0) = 6. What is the Taylor polnomial of degree 2 for g, centered at a = 0? T2(x) = 8-5x - 3x- What is the Taylor polnomial of degree 3 for g, centered at a = 0? T3(x) = Use T2(x) to approximate g(0.1) ~ 7.47 Use T3(x) to approximate g(0.1) ~ 7.47 Submit Question Jul 22 11:49 8v M 10.10 * Course Hero * ChatGPT DO Mathway | Calculus Problem S * |+ X G 2% myopenmath.com/assess2/?cid=232022&aid=16355220#/skip/10 10.10 Save progress Done & Voce Score: 7.7/11 Answered: 9/11 . Question 10 0/1 pt 9 5 2 2 0 Details 5: (-1)"49n-1 Find the sum of the series: (2n)! Question Help: D Video 1 _ Video 2 Submit Question 4 2 Jul 22 11:49 8v M 10.10 * Course Hero * ChatGPT DO Mathway | Calculus Problem S * |+ X G 2% myopenmath.com/assess2/?cid=232022&aid=1635 5220#/skip/11 10.10 Save progress Done & Voce Score: 7.7/11 Answered: 9/11 . Question 11 0/1 pt 9 5 2 2 0 Details 2n-1 Find the sum of the series: n! Question Help: DVideo Submit Question Jul 22 11:49 8v M 9.2 X * Course Hero * ChatGPT * | DO Mathway | Calculus Problem S * |+ X G myopenmath.com/assess2/?cid=232022&aid=16355206#/skip/12 myOpenMath Home | My Classes . | User Settings | Log Out Bryan HERNANDEZ Course | Forums | Calendar | Gradebook Home > Math 262 Calculus II Summer 2024 > Assessment 9.2 Save progress Done Score: 11/13 Answered: 13/13 X Question 12 0/1 pt 1 2 0 Details Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below Find the length of the entire perimeter of the region inside r = 19 sin & but outside r = 2. Question Help: DVideo Submit Question Jul 22 11:50v M 9.2 X * Course Hero * ChatGPT * | DO Mathway | Calculus Problem S * | + X G myopenmath.com/assess2/?cid=232022&aid=16355206#/skip/3 myOpenMath Home | My Classes . | User Settings | Log Out Bryan HERNANDEZ Course | Forums | Calendar | Gradebook Home > Math 262 Calculus II Summer 2024 > Assessment 9.2 Save progress Done Score: 11/13 Answered: 13/13 X Question 3 0/1 pt 1 2 0 Details Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below Find the area of the region inside: r = 9 sin 0 but outside: r = 4 Question Help: DVideo Submit Question Jul 22 11:50