Im seeking help for the bullet point that begins with 'Compare the two estimates dy...'. Thank you! A geologist is using stratigraphy to analyze the history of a canyon wall overlooking a river, in a region which used to be covered by a prehistoric ocean. She findsthat in a certain location where there are few intrusions, the age of the rock layers can be (roughly) modeled as a function of the height above the canyon floor. Sheuses the function f(x) = 400e--05 +10 where gives the height in feet and f (x) is the age in millions of years.• Find dy as an approximation for Ay, for the interval [10, 20]. Then find Ay.• How good is this approximation?• What is the interpretation of Ay in context?• Find dy for the interval [40, 50]. Then find Ay.• How good is this approximation?• What is the interpretation of Ay in context?• Compare the two estimates dy that you made for Ay, for the two intervals. What does the difference between these two estimates tell you in context?• Suppose she wants to estimate the height at which the rock layer 50 million years old, and wants to program her software to use Newton's Method to do thisapproximation. What function could she use, that approximating a zero of that function would give her this estimate?• What is a good seed value o for her to use?• Use the Newton's Method formula, and the seed value you chose, estimate the height above the riverbed at which the canyon wall rocks are 50 million yearsold.• Use technology to estimate the solution. What is the error on the 3 approximation?

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Math

Calculus

Im seeking help for the bullet point that begins with 'Compare the two estimates dy...'. Thank yo

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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