Suppose the table below shows the temperature T(°F) at which a given liquid boils at selected pressures p (pounds per square inch). A model that approximates the data is T= 97.97+54.96· Inp + 10.91/p. Find lim T'(p). P 10 14.696 20 30 40 60 80 100 (1 atm) T 210.82 259.02 287.5 311.41 344.66 369.71 407.5 436.39 460.17 а. 1 b. 0 с. — оо d. -1 e. o

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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Suppose the table below shows the temperature T(°F) at which a given liquid boils at selected pressures p
(pounds per square inch). A model that approximates the data is T=97.97+54.96· Inp + 10.91/p. Find
lim T'(p).
p→∞
5
10
14.696
20
30
40
60
80
100
(1 atm)
T
210.82
259.02
287.5
311.41
344.66
369.71
407.5
436.39
460.17
а. 1
b. 0
с.
d.
1
е.
Transcribed Image Text:Suppose the table below shows the temperature T(°F) at which a given liquid boils at selected pressures p (pounds per square inch). A model that approximates the data is T=97.97+54.96· Inp + 10.91/p. Find lim T'(p). p→∞ 5 10 14.696 20 30 40 60 80 100 (1 atm) T 210.82 259.02 287.5 311.41 344.66 369.71 407.5 436.39 460.17 а. 1 b. 0 с. d. 1 е.
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