Question
Asked Oct 24, 2019
1/4
using the Linear Approximation L(x) of f(x) x14 at a = 16
Approximate 181/4
(Use symbolic notation and fractions where needed.)
approximation based on linearization:
help_outline

Image Transcriptionclose

1/4 using the Linear Approximation L(x) of f(x) x14 at a = 16 Approximate 181/4 (Use symbolic notation and fractions where needed.) approximation based on linearization:

fullscreen
check_circleExpert Solution
Step 1
Linear approximation is given by, L(x) f(a)+f(a)(x-a)
help_outline

Image Transcriptionclose

Linear approximation is given by, L(x) f(a)+f(a)(x-a)

fullscreen
Step 2
L(x) f(16)+f(16) (x-16)
f(x)=
4
1
4x4
help_outline

Image Transcriptionclose

L(x) f(16)+f(16) (x-16) f(x)= 4 1 4x4

fullscreen
Step 3
1
f (16)
(16j
1
4(2)
1
32
f(16) 16
=2
Irn
st
help_outline

Image Transcriptionclose

1 f (16) (16j 1 4(2) 1 32 f(16) 16 =2 Irn st

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Calculus

Other