WeBWork 3 - Topics 6 - 7: Problem 1 (1 point) In this problem, you will use a linear approximation to approximate \\ 81.2. Let f(a) = Vac. The linear approximation of f(x) at x - 81 can be written in the form L(x) = ma + b. Compute m and b. m = b Using the linear approximation to f(x) at x - 81, find the corresponding approximation for v 81.2. Answer: Note: the linearization of a function at x = a is also called the linear approximation at I - a. How is the linearization of f at x - a related to the tangent line to the graph of y - f(x ) at x = a?X WeBWork : F2023MATH249 : We X + y.ca/webwork2/F2023MATH249/WeBWork_3_-_Topics_6 - 7/2/?effectiveUser=30184336 Work 3 - Topics 6 - 7 / 2 Previous Problem Problem List Next Problem WeBWork 3 - Topics 6 - 7: Problem 2 (1 point) In this question we will calculate the Taylor Polynomial for f (x) - v + 2 about x - 7. The formula for the Taylor Polynomial of degree 3 for the function f(x ) about r - a is: T3 (z) - f(a) + f'(a) + 21 + J (a) ( 2 - a ) 2 + 1 (a) (2 - a) 3 In this case, that means we need to find f(7), f'(7), f"(7) and f" (7). f(z) = Vx + 2, so f(7) = f' (20) - so f' (7 ) - f" (2) - , so f" (7 ) - fill ( 20 ) = so f" (7 ) - Therefore the Taylor Polynomial for f(x) - v x / 2 about x - 7 is: +(2 -7)+ (2 - 7)2+ (2 - 7)3 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining. Q Search L O C - B L UX