A polar curve r = = ƒ(0) has parametric equations x = = f(0) cos(0) and y = f(0) sin(0). Then, dy f(0) cos(0) + f'(0) sin(0) dx -ƒ(0) sin(0) + f'(0) cos(0)' = where f'(0) = df de Use this formula to find the slope of the tangent line to r = (Use symbolic notation and fractions where needed.) sin(0) at 0 = 9μ 8.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 11 of 11
A polar curve r =
f(0) has parametric equations x =
f(0) cos(0) and y = f(0) sin(0). Then,
f(0) cos(0) + f'(0) sin(0)
-f(0) sin(0) + f'(0) cos(0)'
dy
df
where f'(0) =
do
dx
9л
Use this formula to find the slope of the tangent line to r = sin(0) at 0 = ".
(Use symbolic notation and fractions where needed.)
slope:
Transcribed Image Text:Question 11 of 11 A polar curve r = f(0) has parametric equations x = f(0) cos(0) and y = f(0) sin(0). Then, f(0) cos(0) + f'(0) sin(0) -f(0) sin(0) + f'(0) cos(0)' dy df where f'(0) = do dx 9л Use this formula to find the slope of the tangent line to r = sin(0) at 0 = ". (Use symbolic notation and fractions where needed.) slope:
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