Consider the following. (Round your answers to four decimal places.)

Kathleen Rausch 2021-12-12 Answered
Consider the following. (Round your answers to four decimal places.)
f(x,y)=xcos(y)
(a) Find f(7,9) and f(7.1,9.05) and calculate Δz.
f(7,9)=?
f(7.1,9.05)=?
Δz=?
(b) Use the total differential dz to approximate Δz.
dz=?
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Expert Answer

Foreckije
Answered 2021-12-13 Author has 32 answers

(a) Find f(7,9) and f(7.1,9.05) and calculate Δz
f(7,9)=7cos(9)=6.3779
f(7,9)=6.3779
f(7.1,9.05)=7.1cos(9.05)=6.6072
f(7.1,9.05)=6.6072
Δz=f(7.1,9.05)f(7,9)=6.6072(6.3779)
Δz=0.2293

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yotaniwc
Answered 2021-12-14 Author has 34 answers
b) fx=cos(y)fx(7,9)=cos9
fy=xsin(y)fy(7,9)=7sin(9)
dx=0.1, dy=0.05
dz=fxdx+fydy=(0.1)cos9+0.05(7sin(9))=0.2354
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