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Find the equation of the family of curves having the given slope, and the equation of the curve of the family which passes through the given point, in each of the following: (a) m = 4x; (1,5) (b) m = √x; (9, 18) (c) m = (x - 1)³; (3,0)

Find the equation of the family of curves having the given slope, and the equation of the curve of the family which passes through the given point, in each of the following: (a) m = 4x; (1,5) (b) m = √x; (9, 18) (c) m = (x - 1)³; (3,0)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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Question
Find the equation of the family of curves having the given slope, and the equation of the curve of the family which passes through the given point, in each of the following: (a) m = 4x; (1,5) (b) m = √x; (9, 18) (e) m = x/y: (4,2) (c) m = (x - 1)³; (3,0) (f) m = x²y³; (3,2) (d) m = 1/x²; (1, 2) (g) m = 2y/x; (2,8) (h) m = xy/(1+x²); (3,5)
Transcribed Image Text:Find the equation of the family of curves having the given slope, and the equation of the curve of the family which passes through the given point, in each of the following: (a) m = 4x; (1,5) (b) m = √x; (9, 18) (e) m = x/y: (4,2) (c) m = (x - 1)³; (3,0) (f) m = x²y³; (3,2) (d) m = 1/x²; (1, 2) (g) m = 2y/x; (2,8) (h) m = xy/(1+x²); (3,5)
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