(1 point) Given that a function f(+) has a tangent line at x = 3 given...
(1 point) Given that a function f(x) has a tangent line at 4 given by y = 6(x – 4) +5. Which of the following could be the Taylor Series representation for f(x)? 0 5+ (6)" A. (2 - 4)" n! 10 00 5 B. (2 - 4)" O 4+ (2)" C. ( no n! 4)" 6 D. (2 on! n0 4)"
(1 point) Given that a function f(x) has a tangent line at x = 4 given by y = 9(x – 4) + 12. Which of the following could be the Taylor Series representation for f(x)? 00 A. (x – 4)" n! n=0 B. 12 + (9)" -(x – 4)" n! n=0 Ž 11 + (-2)" -(x – 4)" n! n=0 -(x – 4)" n! n=0
(1 point) Given that a function f(x) has a tangent line at x = 4 given by y = 9(x – 4) + 12. Which of the following could be the Taylor Series representation for f(x)? 00 A. (x – 4)" n! n=0 B. 12 + (9)" -(x – 4)" n! n=0 Ž 11 + (-2)" -(x – 4)" n! n=0 -(x – 4)" n! n=0
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!
Problem 7. PREVIEW ONLY -- ANSWERS NOT RECORDED (1 point) Given that a function f(x) has a tangent line at x = 2 given by y 6(x - 2) + 4. Which of the following could be the Taylor Series representation for f(x)? A. 3 (x - 2) B. Σ 4+ (6)" (x - 2)" ! C 3+ (3)" -(x - 2)" ! D. 3x - 27"
(1 point) In order to determine the convergence or divergence of the series (-6)" (n2 + 6n) 51+1 n=1 we calculate the limit I needed to run the Ratio Test. Which of the following values would we get? -6 A. L 30 6 B. L= olo olio C. L D. L= 0 E. L=0. F. the limit L does not exist. (1 point) Given that a function f(x) has a tangent line at x = 2 given by y =...
point) Consider a function f(x) that has a Taylor Series centred at x = 5 given by ſan(x – 5)" n=0 he radius of convergence for this Taylor series is R= 4, then what can we say about the radius of convergence of the Power Series an ( 5)"? nons A. R= 20 B.R= 8 C. R=4 D. R= E. R= 2 F. It is impossible to know what R is given this information. point) Consider the function f(x) =...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = -3 given by an(x + 3)" n=0 If the radius of convergence for this Taylor series is R = 4, then what can we say about the radius of convergence of the Power Series Š an -(x + 3)" ? no n=0 A. R= 2 4 OB.R = 6 OC. R = 4 OD. R = 24 O E. R= 8 F. It is impossible...
The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)