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nd the approximate elevation. climber on Mt Everest is 6000 meters from the start of his trail and at elevation 8000 meters above sea level. Atx meters from the art, the elevation is h(x) meters above sea level. If h'(x) = 0.3 for x near 6000 meters, what is the approximate elevation another 5 eters along the trail?

nd the approximate elevation. climber on Mt Everest is 6000 meters from the start of his trail and at elevation 8000 meters above sea level. Atx meters from the art, the elevation is h(x) meters above sea level. If h'(x) = 0.3 for x near 6000 meters, what is the approximate elevation another 5 eters along the trail?

Calculus: Early Transcendentals
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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Since the derivative tells how fast a function is changing, use the derivative at a point to estimate values of the function at nearby points. For local linear approximation use Ah = h'(x)▲x. What are the values for Ax and h'(x)?
Transcribed Image Text:Since the derivative tells how fast a function is changing, use the derivative at a point to estimate values of the function at nearby points. For local linear approximation use Ah = h'(x)▲x. What are the values for Ax and h'(x)?
Find the approximate elevation. A climber on Mt Everest is 6000 meters from the start of his trail and at elevation 8000 meters above sea level. At x meters from the start, the elevation is h(x) meters above sea level. If h'(x) = 0.3 for x near 6000 meters, what is the approximate elevation another 5 meters along the trail?
Transcribed Image Text:Find the approximate elevation. A climber on Mt Everest is 6000 meters from the start of his trail and at elevation 8000 meters above sea level. At x meters from the start, the elevation is h(x) meters above sea level. If h'(x) = 0.3 for x near 6000 meters, what is the approximate elevation another 5 meters along the trail?
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