If the temperature of the tea looks like the following, do you expect L(1.5) to be an overestimate or underestimate of T(1.5)? Give one sentence to explain your reasoning.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Please answer only option b
3)
A hot cup of tea has temperature T(1) = 198 °F, one minute after it has been sitting
on the dining table. At this same time the cup of tea is cooling at a rate of 15 °F/min.
а)
Give the local linearization, L(x), to T at t = 1. Show all work clearly.
%3D
b)
If the temperature of the tea looks like the following, do you expect L(1.5) to be an
overestimate or underestimate of T(1.5)? Give one sentence to explain your
reasoning.
Transcribed Image Text:3) A hot cup of tea has temperature T(1) = 198 °F, one minute after it has been sitting on the dining table. At this same time the cup of tea is cooling at a rate of 15 °F/min. а) Give the local linearization, L(x), to T at t = 1. Show all work clearly. %3D b) If the temperature of the tea looks like the following, do you expect L(1.5) to be an overestimate or underestimate of T(1.5)? Give one sentence to explain your reasoning.
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