Use linear approximation to approximate √49.4 as follows. Let f(x)=√x. The equation of the tangent line to f(x) at x = 49 can be written in the form y = mx + b. Compute m and b. m = b = Using this find the approximation for √49.4. Answer:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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Use linear approximation to approximate √49.4 as follows.
Let f(x) = √√√x. The equation of the tangent line to f(x) at x = 49 can be written in the
form y = mx + b. Compute m and b.
m =
b =
=
Using this find the approximation for √49.4.
Answer:
Transcribed Image Text:Use linear approximation to approximate √49.4 as follows. Let f(x) = √√√x. The equation of the tangent line to f(x) at x = 49 can be written in the form y = mx + b. Compute m and b. m = b = = Using this find the approximation for √49.4. Answer:
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