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1. Let C be the parametric curve defined by Determine if C is concave up or concave down at fa(t)=1²-1-2, 312 +1.

1. Let C be the parametric curve defined by Determine if C is concave up or concave down at fa(t)=1²-1-2, 312 +1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 31E
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Do as indicated 1. Let C be the parametric curve defined by fr(t)=1²-1-2₁ (v(t)=P-1 P² +1. Determine if C is con cave up or concave down at 2. Consider the polar curves C₁=1+ cos@ and Cr=2 cos, and let R be the shaded region as shown below. H (a) The curves intersect at the Cartesian points P(0,0) and Q(2,0). Determine the polar form (r.) of P and of Q that satisfies the equation of 1. C₁ ii. C₂ where # € [0.), Q(2,0) (b) SET UP the (sum of) definite integral (s) equal to the area of R. (c) SET UP the (sum of) definite integral (s) equal to the perimeter of R. P(0,0)
Transcribed Image Text:Do as indicated 1. Let C be the parametric curve defined by fr(t)=1²-1-2₁ (v(t)=P-1 P² +1. Determine if C is con cave up or concave down at 2. Consider the polar curves C₁=1+ cos@ and Cr=2 cos, and let R be the shaded region as shown below. H (a) The curves intersect at the Cartesian points P(0,0) and Q(2,0). Determine the polar form (r.) of P and of Q that satisfies the equation of 1. C₁ ii. C₂ where # € [0.), Q(2,0) (b) SET UP the (sum of) definite integral (s) equal to the area of R. (c) SET UP the (sum of) definite integral (s) equal to the perimeter of R. P(0,0)
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