(2) Consider the curve given parametrically by 1=1+2/2 cost, y = tant +2/2 sin t, for dy and show that dr (a) Find d'y 2 sec t- 3 sect - 2/2 dr? 8 sin t (b) Find all points with horizontal tangent lines and classify these points as maxima, minima or neither.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(2) Consider the curve given parametrically by
r = 1+2v2 cost,
y = tant + 2/2 sin t,
for
<t<
dy
(a) Find
and show that
dr
2 sec t – 3 sect – 2/2
d'y
dr?
8 sin t
(b) Find all points with horizontal tangent lines and classify these points as maxima,
minima or neither.
Transcribed Image Text:(2) Consider the curve given parametrically by r = 1+2v2 cost, y = tant + 2/2 sin t, for <t< dy (a) Find and show that dr 2 sec t – 3 sect – 2/2 d'y dr? 8 sin t (b) Find all points with horizontal tangent lines and classify these points as maxima, minima or neither.
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