Use a linear approximation to estimate Note that 17.2 is near 16 which is
A) 3.23649
B) 2.03649
C) 2.0375
D) 3.08312

Question

Use a linear approximation to estimate  Note that 17.2 is near 16 which is 
A) 3.23649 
B) 2.03649 
C) 2.0375 
D) 3.08312

Quizplus · Accepted Answer

Using linear approximation, we have:

f(17.2) ≈ f(16) + f'(16)(17.2-16)

where f(x) = 11eaa88b_91f0_0c88_a696_b74113e7f988_TB5869_11 and f'(x) is the derivative of f(x).

First, we need to find f'(x):

f'(x) = d/dx(11eaa88b_91f0_0c88_a696_b74113e7f988_TB5869_11)
       = 0

Since the derivative of a constant is zero, we can simplify the linear approximation to:

f(17.2) ≈ f(16)

Now we substitute:

f(16) = 11eaa88b_91f0_3399_a696_bd0b359263ed_TB5869_11

Therefore, the estimate for f(17.2) is approximately 2.0375.

The correct choice is (C).

Use a Linear Approximation to Estimate Note That 17