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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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