at the point (xo, yo) is Хох Yoy 1 %3D a² 62 45. Find an equation of the tangent line to the hyperbola y? 1 62 x² a? 65-6 at the point (xo, Yo). perpe famili 46. Show that the sum of the x- and y-intercepts of any tangent is, ever line to the curve Vx + Vy = /c is equal to c. other fa 47. Show, using implicit differentiation, that any tangent line at a point P to a circle with center O is perpendicular to the 65. x² 66. r2 + radius OP. 67. y= c 48. The Power Rule can be proved using implicit differentiation for the case where n is a rational number, n = p/q, and 68. у — а. y= f(x) = x" is assumed beforehand to be a differentiable Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 87E
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Question 45 please

at the point (xo, yo) is
Хох
Yoy
1
%3D
a²
62
45. Find an equation of the tangent line to the hyperbola
y?
1
62
x²
a?
65-6
at the point (xo, Yo).
perpe
famili
46. Show that the sum of the x- and y-intercepts of any tangent
is, ever
line to the curve Vx + Vy = /c is equal to c.
other fa
47. Show, using implicit differentiation, that any tangent line at
a point P to a circle with center O is perpendicular to the
65. x²
66. r2 +
radius OP.
67. y= c
48. The Power Rule can be proved using implicit differentiation
for the case where n is a rational number, n =
p/q, and
68. у — а.
y= f(x) = x" is assumed beforehand to be a differentiable
Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves
Transcribed Image Text:at the point (xo, yo) is Хох Yoy 1 %3D a² 62 45. Find an equation of the tangent line to the hyperbola y? 1 62 x² a? 65-6 at the point (xo, Yo). perpe famili 46. Show that the sum of the x- and y-intercepts of any tangent is, ever line to the curve Vx + Vy = /c is equal to c. other fa 47. Show, using implicit differentiation, that any tangent line at a point P to a circle with center O is perpendicular to the 65. x² 66. r2 + radius OP. 67. y= c 48. The Power Rule can be proved using implicit differentiation for the case where n is a rational number, n = p/q, and 68. у — а. y= f(x) = x" is assumed beforehand to be a differentiable Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves
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