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Let D be the region of the plane bounded by the curve C parameterized by f(t) = [3 cos(t) – cos(3t)]i+ [sin(3t) – 3 sin(t)lj, 0sts 2n and shown below. a) Calculate the area of D. b) Evaluate the integral J = F.dr, %3D où F(x, y) = (y +e-x')i + (e- - x)j.

Let D be the region of the plane bounded by the curve C parameterized by f(t) = [3 cos(t) – cos(3t)]i+ [sin(3t) – 3 sin(t)lj, 0sts 2n and shown below. a) Calculate the area of D. b) Evaluate the integral J = F.dr, %3D où F(x, y) = (y +e-x')i + (e- - x)j.

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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Question 1 Let D be the region of the plane bounded by the curve C parameterized by F(t) = [3 cos(t) – cos(3t)|i+ [sin(3t) – 3 sin(t)lj, 0sts 2n and shown below. -2 -1 a) Calculate the area of D. b) Evaluate the integral J = F. dr, où F(x, y) = (y + e-x')i+ (e- - x)j.
Transcribed Image Text:Question 1 Let D be the region of the plane bounded by the curve C parameterized by F(t) = [3 cos(t) – cos(3t)|i+ [sin(3t) – 3 sin(t)lj, 0sts 2n and shown below. -2 -1 a) Calculate the area of D. b) Evaluate the integral J = F. dr, où F(x, y) = (y + e-x')i+ (e- - x)j.
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