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Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The equation of the tangent line to f(x) at æ = 3 can be written in the form y = mx + b where: m = 27 and b = -54 Using this, we find our approximation for 2.863 is

Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The equation of the tangent line to f(x) at æ = 3 can be written in the form y = mx + b where: m = 27 and b = -54 Using this, we find our approximation for 2.863 is

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter55: Introduction To Circles
Section: Chapter Questions
Problem 28A: Solve the following exercises based on Principles 15-17, although an exercise may require the...
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Use linear approximation, i.e. the tangent line, to approximate 2.863 as follows: Let f(x) = x³. The equation of the tangent line to f(x) at x = 3 can be written in the form y = mx +b where: m = 27 and b = -54 Using this, we find our approximation for 2.86³ is
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate 2.863 as follows: Let f(x) = x³. The equation of the tangent line to f(x) at x = 3 can be written in the form y = mx +b where: m = 27 and b = -54 Using this, we find our approximation for 2.86³ is
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