The graph of the polar equation r(0) = 0 cos(0), o ses. with derivative = cos(e) – 0 sin(0), is shown in the figure. de y 2 -1 (a) Find the maximum distance from the origin to a point on the graph of the polar equation. (Round your answer to three decimal places.)
The graph of the polar equation r(0) = 0 cos(0), o ses. with derivative = cos(e) – 0 sin(0), is shown in the figure. de y 2 -1 (a) Find the maximum distance from the origin to a point on the graph of the polar equation. (Round your answer to three decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:dr
, with derivative
2
= cos(0) – 0 sin(0), is shown in the figure.
de
The graph of the polar equation r(e) = e cos(0), 0 s0s
y
1
(a) Find the maximum distance from the origin to a point on the graph of the polar equation. (Round your answer to three decimal places.)
(b) Find the area of the shaded region between the two loops of the curve. (Round your answer to three decimal places.)
-2
(c) There is a point on the curve for which the slope of the tangent line to the curve is
dy
At this point,
de
dx
at this point.
de
Find
I - 2
dr
- at the point referenced in part (c).
dy
(d) Find the value of
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