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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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