ı need a correct answer please be careful.thank u
ı need a correct answer please be careful.thank u cos (222) - 1 (2 points) Let...
(1 point) Let f(t) = cos(224) - 1 Evaluate the 9th derivative of f at 2 = 0. fº) (0) Hint: Build a Maclaurin series for f(a) from the series for cos(x).
please answer both and circle the answers!! i always give thumbs up for correct answers!! Find the Maclaurin series for f(x) using the definition of the Maclaurin series. f(x)= x cos(4x) a. 3 (-1)*4"x2+1 (2n)! -O b. į (-1)*43*2*** -0 n! C. 3 (-1)*4**** (2n)! d. (-1)*4*, *** (2n)! e. (-1)**:4" x 2" ** (2n)! Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function. f(x) = 5e cos...
PLEASE ANSWER BOTH QUESTIONS CORRECTLY PROBLEM 1 PROBLEM 2: ONLY SOLVE FOR R Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R(x) > 0.] f(x) = 8 cos x, a = 7 (No Response) Need Halin2 Desde Watahi Master Tato Tutor Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion.] }...
neat please Find the Maclaurin series for the function f(x) = cos(x/2). Express your answer in sigma notation.
(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u = Let z = = and put g(x, y) = (u(x, y), v(x, y). The derivative matrix D(f ° g)(x, y) (Leaving your answer in terms of u, v, x, y ) (1 point) Evaluate d r(g(t)) using the Chain Rule: r() %3D (ё. e*, -9), g(0) 3t 6 = rg() = dt g(u, v, w) and u(r, s), v(r, s), w(r, s). How...
I need a quick solution please :( 1 points Save Answer Let U, VER. Define addition and scalar multiplication on u =(x.y), v = (4.b) by u + v = (x+0.y+b), ku =(ky,box). Then V =R? with the defined addition and scalar multiplication, fails to be a vector space as A. It is not closed under scalar multiplication BU+V V+U c. 1uu D. There is no element, such that U+0=0+ U
2. (8 points) Let {fn}n>ı be a sequence of functions that are defined on R by fn(x):= e-nx. Does {{n}n>1 converge uniformly on [0, 1]? Does it converge uniformly on (a, 1) with 0 <a<1? Does it converge uniformly on (0, 1)?
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...
(-1)-1 n2 is absolutely convergent. 1. (2 points) Prove that cos n is convergent or divergent. 2. (2 points) Determine whether the series - (Use cos n<1 for all n) 3. (3 points) Test the series -1) 3 for absolute convergence. (Use the Ratio Test) 2n +3) 4. (3 points) Determine whether the series converges or diverges. 3n +2 n-1 (Use the Root Test) 5. (3 points) Find R and I of the series (z-3) 1 Find a power series...
Let f(x) = 7x + 1 be the function such that f(x) = 6x2 + 2-1 n2". n=0 Q6.1 10 Points 1 Using the well-known geometric series r" = , |* |< 1, find the formula of Cand n=0 find the domain D of the function f. Please select file(s) Select file(s) Save Answer Q6.2 8 Points Using part Q6.1, find the value of the 102nd derivative of f(x) at x = 0; that is, find f(102)(0). Please select file(s)...