a. 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.c. Compute the percent error in the approximation, 100f(x) = 3ex at a = 0; f(0.05)●approximation - exactexact"where the exact value is given by a calculator.

Answered: Image /qna-images/answer/eabe0810-bb6d-4c17-abb1-2a008cf694ee.jpg

Answered: a. Write the equation of the line that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Jerry is driving across the country at a constant speed. Jerry enters Intersate 90 and and starts a clock as he passes mile marker 52. After 5.4 hours, Jerry passes miles marker 484. Represent the time elapsed in hours using the independent variable t. Represent the mile marker passed at time t with the dependent variable x. At what speed is Jerry driving? miles per hour Write a formula to compute the mile marker x as a function of t. x= What mile marker is Jerry passing when 8.6 hours have elapsed?
1. When you swim underwater, the pressure in your ears depends on the depth at which you are swimming. The formula p=0.43d relates the water pressure p, in pounds per square feet, to a depth of d feet. We can use this linear function to determine the pressure in your ears at a different depths. (a) If your depth is doubled, how did the pressure change? (b) Fill in the blank: i. If the depth is increasing, the pressure is ii. If the depth is decreasing, the pressure is
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