The length of the curve r = f(0), a < 0 < ß Assuming that the necessary derivatives are continuous, show how the substitutions x = f(8) cos 0, y = f(0) sin 0 (Equations 2 in the text) transform rB dx (dy dy\2 L = do do do into 2 d0. do dr L =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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The length of the curve r = f(0), a < 0 < ß Assuming
that the necessary derivatives are continuous, show how the
substitutions
x = f(8) cos 0, y = f(0) sin 0
(Equations 2 in the text) transform
rB
dx
(dy
dy\2
L =
do
do
do
into
2
d0.
do
dr
L =
Transcribed Image Text:The length of the curve r = f(0), a < 0 < ß Assuming that the necessary derivatives are continuous, show how the substitutions x = f(8) cos 0, y = f(0) sin 0 (Equations 2 in the text) transform rB dx (dy dy\2 L = do do do into 2 d0. do dr L =
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