in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on the curve C, given by dr (22 + y? – 1) – 4x²y? = 0. (b) Use parametric differentiation to find an expression for in terms of t for points that lie on a curve C, described parametrically as 2(t) = cos (t), y(t) = sin (t) . (c) At which points t is the curve C2 not differentiable? What are the values of r and y at these points?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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in terms of x and y for the points (x, y)
A5. (a) Use implicit differentiation to find
that lie on the curve C, given by
dr
(22 + y? – 1) – 4x²y? = 0.
(b) Use parametric differentiation to find an expression for in terms of t for points
that lie on a curve C, described parametrically as
2(t) = cos (t),
y(t) = sin (t) .
(c) At which points t is the curve C2 not differentiable? What are the values of r and
y at these points?
Transcribed Image Text:in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on the curve C, given by dr (22 + y? – 1) – 4x²y? = 0. (b) Use parametric differentiation to find an expression for in terms of t for points that lie on a curve C, described parametrically as 2(t) = cos (t), y(t) = sin (t) . (c) At which points t is the curve C2 not differentiable? What are the values of r and y at these points?
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