Problem (1). Any polar curve of the form r = f (0) can be parametrized using the parametric equations f(0) cos 0, y = f(0) sin 0 т— (You may have noticed that the equations for x and y, respectively, are the equations x = r cos 0 and y = r sin 0, respectively, with r replaced by f(0).) 2 d.x ´dy (a) Simplify d0 for the above parametrization of the polar curve r = f(0). (Hint: your do do 2 simplified answer should be in the form
Problem (1). Any polar curve of the form r = f (0) can be parametrized using the parametric equations f(0) cos 0, y = f(0) sin 0 т— (You may have noticed that the equations for x and y, respectively, are the equations x = r cos 0 and y = r sin 0, respectively, with r replaced by f(0).) 2 d.x ´dy (a) Simplify d0 for the above parametrization of the polar curve r = f(0). (Hint: your do do 2 simplified answer should be in the form
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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Problem 1 Please
Transcribed Image Text:Problem (1). Any polar curve of the form r =
f (0) can be parametrized using the parametric equations
f(0) cos 0, y = f(0) sin 0
т—
(You may have noticed that the equations for x and y, respectively, are the equations x = r cos 0 and
y = r sin 0, respectively, with r replaced by f(0).)
2
d.x
´dy
(a) Simplify
d0 for the above parametrization of the polar curve r =
f(0). (Hint: your
do
do
2
simplified answer should be in the form
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