-13-T 2 Expand the function f(x, y) = e-cos(y) at (In(2), by Taylor's formula up to and including the second-order terms. f(x,y) ≈

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The letter e will be recognised as Euler's number.
• Use to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of
brackets (e.g. x'y rather than xy; 2*(x+y) rather than 2(x+y)).
. Put arguments of functions in brackets (e.g. sin(x) rather than sin x).
. Give your answers in exact form (i.e. do not use decimal approximations).
Expand the function f(x, y) = e. cos(y) at (ln(2), -13-7) by Taylor's formula up to and including the second-order terms.
2
f(x, y) =
sin (a)
ə
da
8
R
Ω
B
Transcribed Image Text:Format: The letter e will be recognised as Euler's number. • Use to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of brackets (e.g. x'y rather than xy; 2*(x+y) rather than 2(x+y)). . Put arguments of functions in brackets (e.g. sin(x) rather than sin x). . Give your answers in exact form (i.e. do not use decimal approximations). Expand the function f(x, y) = e. cos(y) at (ln(2), -13-7) by Taylor's formula up to and including the second-order terms. 2 f(x, y) = sin (a) ə da 8 R Ω B
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