Find the Maclaurin polynomial po for f(x) = 7 + 6x3 Provide your answer below: po(x)...
t F(x)=∫x0sin(7t2) dt. Find the MacLaurin polynomial of degree 7 for F(x). 7/3x^3-49/6x^7 Use this polynomial to estimate the value of ∫0.750sin(7x2) dx. -0.105743 (1 point) Let F(x)sin(7t2) dt. Find the MacLaurin polynomial of degree 7 for F(x) 713xA3-49/6x7 0.75 Use this polynomial to estimate the value of sin(7x2) dx 0.105743 Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 50%. (1 point)...
4. Find the nth Maclaurin polynomial for the function. f(x) = e-x, n = 5 P5(x) = _______ 5. Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) = _______
Find the derivative of 6x3 - 2x + 1 f (2) [In other notation: f(x) = (6x^3 -2x +1) 7 x^(1/3)] (Simplify your answer as much as possible.) If your answer does not look like any of the four below, try choosing a number for x and plug it into your answer. Then plug that same number into each of the four answers to see which one matches. 1 1671 +- c 3 0 6x3 - 2x3 + x o...
(1 point) Let F(z) = [" sin(4t) dt. Find the MacLaurin polynomial of degree 7 for FC). 0.66 Use this polynomial to estimate the value of Š sin(4x²) dr.
11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc 11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc
1,2,3, and 4 Here are some practice exercises for you. 1. Given f(x) e2, find the a. Maclaurin polynomial of degree 5 b. Taylor polynomial of degree 4 centered at 1 c. the Maclaurin series of f and the interval of convergence d. the Taylor series generated by f at x1 2. Find the Taylor series of g(x) at x1. 3. Given x -t2, y t 1, -2 t1, a. sketch the curve. Indicate where t 0 and the orientation...
-1/3 (i) Find the third-degree Maclaurin polynomial Tz(x) for f(x)= (1+4x). You can use differentiation or derive the polynomial using binomial series. (ii) Find approximation errors|f(x)– Tz(x) at x =0.1 and x=1.
Find the Maclaurin polynomial of degree 4 for the function. /(x) cos(3x) Find the Maclaurin polynomial of degree 4 for the function. /(x) cos(3x)
find the first three nonzero terms of the Maclaurin exapnsion kf the function. f(x)=7 sin x Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 7 sinx What is the first nonzero term of the Maclaurin expansion of f(x) = 7 sin x? 囗 What is the second nonzero term? What is the third nonzero term? Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 7 sinx What...
Let f(z-y2 sin(x+-) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of order 4. generated by f(x) at zo (b) Describe the MacLaurin series of f (with or without the sigma notation). (Hint: What pattern do the derivatives of f at z-0 follow?) (c) Does the MacLaurin series of f converges absolutely, converges conditionally or diverges at -1? Let f(z-y2 sin(x+-) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of...