This animation demonstrates that the curve is locally linear. Describe what this means. (Use the interactive gure to nd your answer.) . , _ (\\/ Ni Click here to launch the interactive figure. Choose the correct answer below. '2: '2' A. Regardless of where the curve is zoomed in on, the shape of the curve does not change. '2: '2' B. If we zoom in on the curve at a particular point, the shape of the curve does not change. '2: '2' C. If we zoom in on the curve at a particular point, the curve appears to be a line. '2: '2' D. Regardless of where the curve is zoomed in on, the curve appears to be a line with the same slope. Describe the relationship between f'(a)Ax and Ay if x is close to a. (Use the interactive figure to find your answer.) Click here to launch the interactive figure. Choose the correct answer below. O A. The value of f'(a)Ax . Ay is approximately equal to 1 if x is close to a. O B. The value of Ay - f'(a)Ax is approximately equal to x if x is close to a. O c. The value of f'(a) Ax is approximately equal to Ay if x is close to a. O D. The value of Ay -f'(a)Ax is approximately equal to a if x is close to a.3. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. |approxlmation - exact| c. Compute the percent error in the approximation, 100 - , where the exact value is given by a calculator. Iexactl 2 f(x)=1x at 3 =2; f(1.9) <: a. l d>