Use a linear approximation to estimate
A) 0
B) 0.18
C) 0.1
D) 0.02

Name: Use a linear approximation to estimate A) 0 B) 0.18 C) 0.1 D) 0.02
Brand: Quizplus
Rating: 4.8 (41 reviews)

Question

Use a linear approximation to estimate 
A) 0 
B) 0.18 
C) 0.1 
D) 0.02

Quizplus · Accepted Answer

Using a linear approximation, we can write:
11eaa88b_91f0_339a_a696_ebe64bcb6c64_TB5869_11 ≈ f(a) + f'(a)(b-a), where a=1 and b=1.1 (since we want to estimate the function at x=1.1):
f(a) = e 
f'(x) = e^x, so f'(a) = e^1 = e
Thus, 
11eaa88b_91f0_339a_a696_ebe64bcb6c64_TB5869_11 ≈ e + e(0.1) = e(1.1) ≈ 3.004
The closest option to this value is C) 0.1.

Use a Linear Approximation to Estimate