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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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Problem 8.14EP
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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)
(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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