(a) To find the length of the polar curve r = of the definition of polar coordinates and write this polar curve in parametric form as F(0), a <0
(a) To find the length of the polar curve r = of the definition of polar coordinates and write this polar curve in parametric form as F(0), a <0
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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![2
d.x
dy
L =
dt
dt
dt
(a) To find the length of the polar curve r =
of the definition of polar coordinates and write this polar curve in parametric
F(0), a <0 < b, we can take advantage
form as
F(0) cos 0, y = F(0) sin 0, a <0<b,
where 0 is our parameter.
Use the arc length equation above to show that we can find the arc length of this
polar curve by evaluating the following integral.
/ VIF(0)° + [F* (Ð)]² do
L =
(b) Sct up (but do not solvc) an integral that represents the length of r
where 0 <0 < 57.
= COS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05904cb8-a68d-4318-8b8c-e63ea8aabe83%2Ffc66aebf-ffdc-41f8-863c-248a29f7e149%2F3k2owf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2
d.x
dy
L =
dt
dt
dt
(a) To find the length of the polar curve r =
of the definition of polar coordinates and write this polar curve in parametric
F(0), a <0 < b, we can take advantage
form as
F(0) cos 0, y = F(0) sin 0, a <0<b,
where 0 is our parameter.
Use the arc length equation above to show that we can find the arc length of this
polar curve by evaluating the following integral.
/ VIF(0)° + [F* (Ð)]² do
L =
(b) Sct up (but do not solvc) an integral that represents the length of r
where 0 <0 < 57.
= COS
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