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When a ship moves through water, the friction it experiences depends on how much of its hull is in the water and how fast it is traveling. Suppose the frictional resistance, R, of a ship is proportional to the area of the ship's hull that is wet, A, and the squar speed, V. (a) Express R in terms of A and V. Use k for your proportionality constant. R= (b) By what percent (%) does R change if V increases by 30% ? Give your answer rounded to the nearest 0.1%. Does this increase in V result in an increase or decrease for R? Xhyl Increase/Decrease

When a ship moves through water, the friction it experiences depends on how much of its hull is in the water and how fast it is traveling. Suppose the frictional resistance, R, of a ship is proportional to the area of the ship's hull that is wet, A, and the squar speed, V. (a) Express R in terms of A and V. Use k for your proportionality constant. R= (b) By what percent (%) does R change if V increases by 30% ? Give your answer rounded to the nearest 0.1%. Does this increase in V result in an increase or decrease for R? Xhyl Increase/Decrease

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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When a ship moves through water, the friction it experiences depends on how much of its hull is in the water and how fast it is traveling. Suppose the frictional resistance, R, of a ship is proportional to the area of the ship's hull that is wet, A, and the square of its speed, V. (a) Express R in terms of A and V. Use k for your proportionality constant. R = (b) By what percent (%) does R change if V increases by 30%? Give your answer rounded to the nearest 0.1%. Does this increase in V result in an increase or decrease for R? R----- Increase/Decrease ----- by %
Transcribed Image Text:When a ship moves through water, the friction it experiences depends on how much of its hull is in the water and how fast it is traveling. Suppose the frictional resistance, R, of a ship is proportional to the area of the ship's hull that is wet, A, and the square of its speed, V. (a) Express R in terms of A and V. Use k for your proportionality constant. R = (b) By what percent (%) does R change if V increases by 30%? Give your answer rounded to the nearest 0.1%. Does this increase in V result in an increase or decrease for R? R----- Increase/Decrease ----- by %
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