3. DI0 I can find the equation of the line tangent to a function at a point and use this line as a linear approximation to estimate the value of a funetion at nearby points. For each of the quantities below, identify a function and its tangent line that can be used to approximate the values. Compute the approximation. You will be asked about your tangent line as well as the approximate values. Are your approximations overestimates or underestimates and how do you kuow? (a) a2 (b) In(1.01) (c) V16.04 (d) cos 0.03

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Solve for part d
11:45
l LTE 4
3. D10 I can find the equation of the line tangent to a function at a point and use this line as a lincar
approximation to estimate the value of a function at nearby points
Eor cach of the quantities below, identify a function and its tangent line that can be used to
approximate the values. Compute the approximation. You will be asked about your tangent line as
well as the approximate values. Are your approximations overestimates or underestimates and how do
you kuow?
(a) en02
(b) In(1.01)
(c) V16.04
(d) cos 0.03
Transcribed Image Text:11:45 l LTE 4 3. D10 I can find the equation of the line tangent to a function at a point and use this line as a lincar approximation to estimate the value of a function at nearby points Eor cach of the quantities below, identify a function and its tangent line that can be used to approximate the values. Compute the approximation. You will be asked about your tangent line as well as the approximate values. Are your approximations overestimates or underestimates and how do you kuow? (a) en02 (b) In(1.01) (c) V16.04 (d) cos 0.03
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1. Linear Approximations:

The TANGENT LINE at a point can also be defined as a linear approximation to the function.

Please give Explanation and examples 

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