Suppose that w=3 exp(2y) cos(52) with dw a. Find in terms of t. dt dw dt = ab b. Now evaluate dw dt t=0 sin (a) ab = dw dt sin (a) 8 əx for t = 0. 8 da f 8 8 a Ω a Ω a(t + 7), = sin y = ln (t + 5), z = t. E

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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Suppose that w=23³ exp(2y) cos(52) with
a. Find dw
dt
dw
dt
ab
dw
dt It=0
in terms of t.
b. Now evaluate
ab
sin (a)
dw
dt
sin (a)
a
əx
f
for t = 0.
ə
da
∞
8
x = sin
a S2
a(t + 7),
a S2
y = ln (t + 5),
z = t.
E
E
Transcribed Image Text:Suppose that w=23³ exp(2y) cos(52) with a. Find dw dt dw dt ab dw dt It=0 in terms of t. b. Now evaluate ab sin (a) dw dt sin (a) a əx f for t = 0. ə da ∞ 8 x = sin a S2 a(t + 7), a S2 y = ln (t + 5), z = t. E E
Use Taylor's formula for f(x, y) at (0,0) to find the quadratic approximations of f near the origin when
f(x, y) =
ab
sin (a)
8
dx
f
a
Ω
f(x, y) =
5
4-x-7y+6xy
E
F
Transcribed Image Text:Use Taylor's formula for f(x, y) at (0,0) to find the quadratic approximations of f near the origin when f(x, y) = ab sin (a) 8 dx f a Ω f(x, y) = 5 4-x-7y+6xy E F
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