MA211Assignment1Solutions.pdf - MA 211 Assignment 1...

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MA 211 Assignment 1 Solutions, Semester I, 2019Instructions:[Anything written in red is a comment, and should not be reproduced when answering similarquestions.]Question 1.This is about the material of Week 1.[Total: 3+(3+4+4)=14 Marks](a) Identify the curve by transforming the polar equationr2-2rcosθ+ 4rsinθ+ 1 = 0to rectangular coordinates.[3 Marks for Accuracy]
(b) Consider the two polar curvesr= 4 cosθandr= 2.(c) Consider the polar curver= cos 4θ.i. Sketch the curve.[3 Marks for Accuracy]
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ii. Set up asingleintegral that represents the area of the region enclosed by the curve.Do not evaluate the integral.[4 Marks for Accuracy]

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