1. Find the equation of the family of curves and the equation of the particular curve that passes through point (-2,-5) if the slope of the tangent at any point (x, y) is a. 3x + 4 x+2 b. 1- y

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
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EXERCISE 14
Answer the following problems completely:
1. Find the equation of the family of curves and the equation of the particular curve
that passes through point (-2,-5) if the slope of the tangent at any point (x, y) is
a. 3x + 4
x +2
b.
1-y
2. Find the equation of the curve at any point P(x.y) of a curve the subtangent
equals
Transcribed Image Text:equals EXERCISE 14 Answer the following problems completely: 1. Find the equation of the family of curves and the equation of the particular curve that passes through point (-2,-5) if the slope of the tangent at any point (x, y) is a. 3x + 4 x +2 b. 1-y 2. Find the equation of the curve at any point P(x.y) of a curve the subtangent equals
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