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Divergent paths Two boats leave a port at the same lime,

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 16E Chapter 3.10

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 16E

Divergent paths? Two boats leave a port at the same lime, one traveling west at 20 mi/hr and the other traveling southwest at 15 mi/hr. At what rate is the distance between them changing 30 min after they leave the port?

Step-by-Step Solution:
Step 1 of 3

Solution: Step1 To find At what rate is the distance between them changing 30 min after they leave the port Step2 Given that Two boats leave a port at the same lime, one traveling west at 20 mi/hr and the other traveling southwest at 15 mi/hr Step3 Step4 The boat is traveling west at 20mi/hr.. x1 = - (20 mi/hr) t ; y1 = 0 are coordinates of boat #1 at time t in hours We have, dx1/dt = - 20; dy1/dt = 0 Other boat is traveling southwest at 15 mi/hr Then, x2 = - (15 mi/hr) [cos (45 degrees)] t ; y2 = - (15 mi/hr) [sin (45 degrees)are coordinates of boat #2 at time t in hours dx/dt = - 10.6065; dy2/dt = - 10.6065 Distance between two boats D = [(y2 y1) 2 + (x2 x1) 2] We want to know dD/dt = when t = 0.5 hours ˆ ˆ D = [(10.6065 t 0) 2 + (10.6065 t 20 t) 2] = [112.5 t 2 + 88.2 t 2] D = 14.2 t Differentiate both side we get dD/dt = 14.2 mi/hr Therefore,At 14.2 mi/hr rate is the distance between them changing 30 min after they leave the port.

Step 2 of 3

Chapter 3.10, Problem 16E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since the solution to 16E from 3.10 chapter was answered, more than 330 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Divergent paths? Two boats leave a port at the same lime, one traveling west at 20 mi/hr and the other traveling southwest at 15 mi/hr. At what rate is the distance between them changing 30 min after they leave the port?” is broken down into a number of easy to follow steps, and 41 words. This full solution covers the following key subjects: leave, traveling, PORT, other, boats. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 16E from chapter: 3.10 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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Divergent paths Two boats leave a port at the same lime,