1. If f(4) = 7 and f'(4)= -2, f(3.97)= 2. You measure a cubic container and...

Transcribed Image Text:

1. If f(4) = 7 and f'(4)= -2, f(3.97)= 2. You measure a cubic container and find it to be about 10 cm on each side. From this, you conclude that it holds 1000 cc. However, your measurement is accurate only to within +0.1 cm. (So you can be sure that the side is between 9.9 and 10.1 cm.) What are x, f(x), and a in this problem? A. B. C. Use the tangent line approximation to estimate the error in your value of 1000 for the volume. Give the percent error in your measurement of the length of the side. D. Give the percent error in your estimate of the volume. 1. If f(4) = 7 and f'(4)= -2, f(3.97)= 2. You measure a cubic container and find it to be about 10 cm on each side. From this, you conclude that it holds 1000 cc. However, your measurement is accurate only to within +0.1 cm. (So you can be sure that the side is between 9.9 and 10.1 cm.) What are x, f(x), and a in this problem? A. B. C. Use the tangent line approximation to estimate the error in your value of 1000 for the volume. Give the percent error in your measurement of the length of the side. D. Give the percent error in your estimate of the volume.