a. Find fax. fxx (x, y) = absin (a) b. What is fyy? 8 dx 8 f(x,y)= In -In (√Br² + 5y²). a Ω E

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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Consider the function
a. Find fax.
*
fxx (x, y)
ab
1
b
sin (a)
b. What is fyy?
fyy (x, y) =
sin (a)
8
dx
8
dr
8
f(x, y) = In (√Ba² + 5y²)
a Ω
a
S2
E
Transcribed Image Text:Consider the function a. Find fax. * fxx (x, y) ab 1 b sin (a) b. What is fyy? fyy (x, y) = sin (a) 8 dx 8 dr 8 f(x, y) = In (√Ba² + 5y²) a Ω a S2 E
. Put arguments of functions in brackets (e.g. sin(x) rather than SIII X).
. Give your answers in exact form (i.e. do not use decimal approximations).
Expand the function f(x, y) = e. cos(y) at (In(2), -13-7) by Taylor's formula up to and including the second-order terms.
2
f(x,y) ~
ab
sin (a)
ә
əx
8
α
Ω
PO
Transcribed Image Text:. Put arguments of functions in brackets (e.g. sin(x) rather than SIII X). . Give your answers in exact form (i.e. do not use decimal approximations). Expand the function f(x, y) = e. cos(y) at (In(2), -13-7) by Taylor's formula up to and including the second-order terms. 2 f(x,y) ~ ab sin (a) ә əx 8 α Ω PO
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