Let f(x)=√x. (a) Use linear approximation at x = = 125 to approximate f(124.7) = 124.7. The Linear approximation of f(x) at x = 125 is L(x) = x+ Using this, we find our approximation for $124.7. Round your answer to at least 6 decimal places. (b) Is your estimate in (a) is greater or smaller than the calculator's value? Explain the reason using a sketch.
Let f(x)=√x. (a) Use linear approximation at x = = 125 to approximate f(124.7) = 124.7. The Linear approximation of f(x) at x = 125 is L(x) = x+ Using this, we find our approximation for $124.7. Round your answer to at least 6 decimal places. (b) Is your estimate in (a) is greater or smaller than the calculator's value? Explain the reason using a sketch.
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.CR: Chapter 7 Review
Problem 54CR
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![Let f(x) = 3√x.
(a) Use linear approximation at x = 125 to
approximate f(124.7) = 124.7.
The Linear approximation of f(x) at x =
L(x) =
x+
125 is
Using this, we find our approximation
for 124.7.
Round your answer to at least 6 decimal places.
(b) Is your estimate in (a) is greater or smaller than
the calculator's value? Explain the reason using a
sketch.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af5a58a-26e3-4baa-9073-1b18b1512b13%2Fc47ca3aa-41db-4567-a204-c66013f0febe%2Fjae397r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x) = 3√x.
(a) Use linear approximation at x = 125 to
approximate f(124.7) = 124.7.
The Linear approximation of f(x) at x =
L(x) =
x+
125 is
Using this, we find our approximation
for 124.7.
Round your answer to at least 6 decimal places.
(b) Is your estimate in (a) is greater or smaller than
the calculator's value? Explain the reason using a
sketch.
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