Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field. Jane could drive her tractor directly across the field to point C and then drive 15 miles down a road to B, or she could drive to some point, P, between B and C and then drive to B. If Jane drives her tractor 8 miles per hour across the field and 17 miles per hour on the road, find the point, P, where she should cut across the field to minimize the time it takes to reach B. [Hint: time = distance rate .]
Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field. Jane could drive her tractor directly across the field to point C and then drive 15 miles down a road to B, or she could drive to some point, P, between B and C and then drive to B. If Jane drives her tractor 8 miles per hour across the field and 17 miles per hour on the road, find the point, P, where she should cut across the field to minimize the time it takes to reach B. [Hint: time = distance rate .]
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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Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field. Jane could drive her tractor directly across the field to point C and then drive 15 miles down a road to B, or she could drive to some point, P, between B and C and then drive to B. If Jane drives her tractor 8 miles per hour across the field and 17 miles per hour on the road, find the point, P, where she should cut across the field to minimize the time it takes to reach B. [Hint: time = distance rate .]
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