Apply the method of Implıcit Di fferentiation to find dy in eq (i) angle O=45 with and loPI-r=472 Ray OP makes the possitive X axis Point P hao the coordinates (x,y) where X = r cos @ =4 Show that the tangent line to the graph at P has zero slope. an Cend y=r Sin & =4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Apply the method of Implicit Differentiation. See images

The the bifolivm :
graph shows
(x?+y²)²= 16x²y
2.
16x?Y
(1)
2.
Equivalently:
(x, x)= (r cos o, r Sin Q) where
r=16 cos? @ sin @ for Os @ Ś I80*
r sin @) where
CoS
Transcribed Image Text:The the bifolivm : graph shows (x?+y²)²= 16x²y 2. 16x?Y (1) 2. Equivalently: (x, x)= (r cos o, r Sin Q) where r=16 cos? @ sin @ for Os @ Ś I80* r sin @) where CoS
Apply the method of Implicit
Di fferentiation to find
dx.
in eq (i)
Ray OP makes
the possitive X axis
Point P has the coordina tes (x,y) where
X =r cos @ =4
Show that the tangent line to
the graph at P has zero slope.
angle =45" with
an
and TOPI
IOPI=r=472
Cend y=r sın & =4
30 2
45°
60° /2
RIs
(x.J)
Aypr
edj-r eme
Transcribed Image Text:Apply the method of Implicit Di fferentiation to find dx. in eq (i) Ray OP makes the possitive X axis Point P has the coordina tes (x,y) where X =r cos @ =4 Show that the tangent line to the graph at P has zero slope. angle =45" with an and TOPI IOPI=r=472 Cend y=r sın & =4 30 2 45° 60° /2 RIs (x.J) Aypr edj-r eme
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