# Homework 19 Solution - Polar Coordinates: Tangent Lines,...

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Polar Coordinates: Tangent Lines, Arc Length, & AreaSUGGESTED REFERENCE MATERIAL:As you work through the problems listed below, you should reference Chapter 10.3 of the rec-ommended textbook (or the equivalent chapter in your alternative textbook/online resource)and your lecture notes.EXPECTED SKILLS:Know how to compute the slope of the tangent line to a polar curve at a given point.Be able to find the arc length of a polar curve.Be able to Calculate the area enclosed by a polar curve or curves.PRACTICE PROBLEMS:For problems 1-3, find the slope of the tangent line to the polar curve for thegiven value ofθ.1.r=θ;θ=π63π+ 663-π2.r= 3 + 2 sinθ;θ=π6-533.r= 1-sin 2θ;θ=π-124. Consider the circler= 3 cosθ. Find all values ofθin 0θ < πfor which the curvehas either a horizontal or vertical tangent line.Vertical Tangent Lines whenθ= 0 andθ=π2;Horizontal Tangent Lines whenθ=π4orθ=3π

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Term
Spring
Professor
Falco
Tags
Cos, polar curve
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