A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 11 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. Complete parts (a) and (b) below. a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time? miles from the restaurant. To minimize the total travel time, the boat should land (Type an exact answer, using radicals as needed.)

A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 11 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. Complete parts (a) and (b) below. a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time? miles from the restaurant. To minimize the total travel time, the boat should land (Type an exact answer, using radicals as needed.)

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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Question

Help me solve this. I have tried everything I can on my own.

A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 11 mi from a restaurant on the shore. A woman plans to row the boat
straight to a point on the shore and then walk along the shore to the restaurant. Complete parts (a) and (b) below.
a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time?
To minimize the total travel time, the boat should land
(Type an exact answer, using radicals as needed.)
miles from the restaurant.

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Step 1: Introduce to the given information

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Step 2: Draw the figure and define the variables

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Step 3: Determining the equation of total travel time

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Step 4: Differentiating the T(x) and finding the critical point

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Step 5: Verifying the total travel time is minimum at the critical point

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Step 6: Finding the distance woman lands from the restaurant

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