UZ. A curve C is defined by the parametric equations x=²-31, y=3²-9, -2<1<2. a) Find the points where the curve has a horizontal or vertical tangent line. b) For what values of f, is the curve concave up? c) Sketch the curve.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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ŲZ.
A curve C is defined by the parametric equations
x=²-31, y=31²-9, -2<1<2.
a) Find the points where the curve has a horizontal or vertical tangent line.
b) For what values of f, is the curve concave up?
c) Sketch the curve.
d) Set up an integral (Do not evaluate) that represents the length of the closed
loop.
Transcribed Image Text:ŲZ. A curve C is defined by the parametric equations x=²-31, y=31²-9, -2<1<2. a) Find the points where the curve has a horizontal or vertical tangent line. b) For what values of f, is the curve concave up? c) Sketch the curve. d) Set up an integral (Do not evaluate) that represents the length of the closed loop.
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