Problem 9. 6141 (1 point) Suppose that the function f(x) is equal to the convergent powers...
Problem 9. (1 point) Suppose that the function f(x) is equal to the convergent powers series Σ 3+1 n! -(x – 6) 30+2 Which of the following is equal to the value of f(14) (6)? -14! 4! B.O. 35 c. 4!" 315 D 14! E. 35 Problem 10. (1 point) Determine the Taylor Series of the function f(x) = 9x? (1 − x)2 centred at x = 0. Α. Σ(-9)",ία. 9 Β. x843 Η + c. Σ9" x2η. O D....
7+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (7) 4n+3 n! n0 Which of the following is equal to the value of f(19) (7)? O A. 720 B 75 19! 4! 720 C. 19! O D.O. 78 E
(1 point) Suppose that the function f(x) is equal to the convergent powers series 71+1 -(x – 8)4n+1 n! n=0 Which of the following is equal to the value of f(21)(8)? O A. 722 OB. 0. 722 C. 21! 76 5! 76 E. -21! 5!
1 point) Suppose that the function f(x) is equal to the convergent powers series 51+1 -(x - 2)3n+1 n! n= Vhich of the following is equal to the value of f(13) (2)? A. 514 B. 4! C.O. u D. 13! 4! 514 E. 13! IM8 n?(5x - 1)" 2" n=0 Which of the following is the radius of convergence for the series? O A. R= IN OB. R= 2 C. R= . OD. R= 0. O 0 5 E. R=...
5+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (x - 7)3n+2 n! Which of the following is equal to the value of f(11) (7)? 54 A. 3! B.O. 512 c. 11! 54 D. 11! 3! E. 512
5+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (x - 7)3n+2 n! Which of the following is equal to the value of f(11) (7)? 54 A. 3! B.O. 512 c. 11! 54 D. 11! 3! E. 512
(1 point) Determine the laylor Series of the function f(x) - 12.04 (1 - 22 centred at x = 0. A. 12.c 2n+4 n=1 od B. (-12)”z.AN n=1 C. 12nrn+3 n=1 00 12 D. 21+5 non +1 E. 12" 4n n=1
Problem 7. (1 point) Given that a function f(x) has a tangent line at x = 3 given by y 7(x – 3) +1. Which of the following could be the Taylor Series representation for f(x)? O 7 A. (2-3)" non! O 0+ (7)" B. (2-3)" n! n0 c. 1+ (7)" n! (2x - 3)" O D. 1 (x - 3)" n!
Consider the function f(x)=x22−9. (1 point) Consider the function f(x) = 9. 2 In this problem you will calculate " ( - ) dx by using the definition Lira f(x) dx = lim f(x;)Ar i=1 The summation inside the brackets is R, which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub- interval. r2 Calculate R, for f(x) = -9 on the interval [0, 3] and write your answer as a...
16: Problem 8 Previous Problem ListNext 1 point) 1) Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(z) dz < Σ f(n) Recall that e-Σ. ,,Suppose that tor each positive integer k f(k)- Find an upper bound Bor f(z) dz 2) A function is given by ts values may be found in tables. Make the change of variables y In(4) to express 1-4 d as a constant C times h(3). Find...