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where k is the constant of proportionality. In these exercises, let k = 1. 47. The rate of change of y with respect to x is directly pro- portional to the square of y. 48. The rate of change of y with respect to x is directly pro- portional to the cube of y. 49. The rate of change of y with respect to x is inversely pro- portional to the cube of y. 50. The rate of change of y with respect to x is inversely pro- portional to the square root of y. 51. The rate of change of y with respect to x is directly proportional to the product of x and y, and y = 3 when X = 2. 52. The rate of change of y with respect to x is directly pro- portional to the quotient of x divided by y, and y = 2 when x = -1.

where k is the constant of proportionality. In these exercises, let k = 1. 47. The rate of change of y with respect to x is directly pro- portional to the square of y. 48. The rate of change of y with respect to x is directly pro- portional to the cube of y. 49. The rate of change of y with respect to x is inversely pro- portional to the cube of y. 50. The rate of change of y with respect to x is inversely pro- portional to the square root of y. 51. The rate of change of y with respect to x is directly proportional to the product of x and y, and y = 3 when X = 2. 52. The rate of change of y with respect to x is directly pro- portional to the quotient of x divided by y, and y = 2 when x = -1.

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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where k is the constant of proportionality. In these exercises, let k = 1. 47. The rate of change of y with respect to x is directly pro- portional to the square of y. 48. The rate of change of y with respect to x is directly pro- portional to the cube of y. 49. The rate of change of y with respect to x is inversely pro- portional to the cube of y. 50. The rate of change of y with respect to x is inversely pro- portional to the square root of y. 51. The rate of change of y with respect to x is directly proportional to the product of x and y, and y = 3 when X = 2. 52. The rate of change of y with respect to x is directly pro- portional to the quotient of x divided by y, and y = 2 when x = -1.
Transcribed Image Text:where k is the constant of proportionality. In these exercises, let k = 1. 47. The rate of change of y with respect to x is directly pro- portional to the square of y. 48. The rate of change of y with respect to x is directly pro- portional to the cube of y. 49. The rate of change of y with respect to x is inversely pro- portional to the cube of y. 50. The rate of change of y with respect to x is inversely pro- portional to the square root of y. 51. The rate of change of y with respect to x is directly proportional to the product of x and y, and y = 3 when X = 2. 52. The rate of change of y with respect to x is directly pro- portional to the quotient of x divided by y, and y = 2 when x = -1.
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