Let k be the number of letters in your first name and consider the curve given by r=k+2ksin(3θ) . k=4 a) Determine the slope of the tangent line to the graph at θ=π /6 . b) Find the area between a large loop and the enclosed small loop of the curve. c) Set up the integral that gives the arc length for this curve. (Don't try to integrate.)
Let k be the number of letters in your first name and consider the curve given by r=k+2ksin(3θ) . k=4 a) Determine the slope of the tangent line to the graph at θ=π /6 . b) Find the area between a large loop and the enclosed small loop of the curve. c) Set up the integral that gives the arc length for this curve. (Don't try to integrate.)
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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Let k be the number of letters in your first name and consider the curve given by r=k+2ksin(3θ) .
k=4
a) Determine the slope of the tangent line to the graph at θ=π /6 .
b) Find the area between a large loop and the enclosed small loop of the curve.
c) Set up the integral that gives the arc length for this curve. (Don't try to integrate.)
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