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Question

Use the linear approximation to approximate

e0.1 +3 sin(0.05).

V

1. Choose an appropriate function f(x, y). Use the

variables x, y, z in alphabetical order from left to

right in your function. For example, enter x³ + z

instead of y² + z or y² + x.

f(x, y) =

a sin (a)

[0.5 points]

ə

dr

8

οι Ω/npoints]

2. Choose an appropriate point of tangency (a, b).

(a, b) =

ab

V

sin (a)

a

da

[0.5 points]

3. Calculate the approximation of

e0.1 +3 sin(0.05). Round your answer to 4

decimals.

e0.1 +3 sin(0.05)

sin (a)

⠀⠀

8

f

Ər

∞ant

0 52

B

E

IN

Fig: 1

Fig: 2