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
icon
Related questions
Question
100%
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.
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.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning