3. You are in a boat 2 miles from the nearest point on the coast. You are to go to point 2. → down the coast and 1 mile inland (see figure). You can row at a rate of 2 miles per hour and you can walk at a rate of 4 miles per hour. Let T be the time it takes you to reach point Q. Express 7' as a function of x. dr de b) Verify that x-1 is a critical number of 7. has a local minimum at x 1. a) b) Find

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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3. You are in a boat 2 miles from the nearest point on the coast. You are to go to point Q, located 3 miles
down the coast and 1 mile inland (see figure). You can row at a rate of 2 miles per hour and you can
walk at a rate of 4 miles per hour. Let T be the time it takes you to reach point Q.
a) Express T'as a function of x.
b) Find
dr
dx
b) Verify that x= 1 is a critical number of 7.
d) Verify that Thas a local minimum at x = 1.
e) What is this local minimum value of 7?
2 mi
-3 mi-
Q
mi
Transcribed Image Text:3. You are in a boat 2 miles from the nearest point on the coast. You are to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). You can row at a rate of 2 miles per hour and you can walk at a rate of 4 miles per hour. Let T be the time it takes you to reach point Q. a) Express T'as a function of x. b) Find dr dx b) Verify that x= 1 is a critical number of 7. d) Verify that Thas a local minimum at x = 1. e) What is this local minimum value of 7? 2 mi -3 mi- Q mi
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