The temperature in an industrial pasteurization tank is f(x)= x2 − 9x + 111 degrees centigrade after x minutes (for 0 ≤ x ≤ 11). (a) Find f '(x) by using the definition of the derivative._________ b) Use your answer to part(a) to find the instantaneous rate of change of the temperature after 3 minutes. Be sure to interpret the sign of your answer. The temperature is increasing or decreasing at a rate of ________degrees per minutes after 3 minutes. c) Use your anser to part (a) to find the instantanrous rate of change after 8 minutes. The temperature is increasing or decreasing at a rate of ______ degrees per minute after 8 minutes.
The temperature in an industrial pasteurization tank is f(x)= x2 − 9x + 111 degrees centigrade after x minutes (for 0 ≤ x ≤ 11). (a) Find f '(x) by using the definition of the derivative._________ b) Use your answer to part(a) to find the instantaneous rate of change of the temperature after 3 minutes. Be sure to interpret the sign of your answer. The temperature is increasing or decreasing at a rate of ________degrees per minutes after 3 minutes. c) Use your anser to part (a) to find the instantanrous rate of change after 8 minutes. The temperature is increasing or decreasing at a rate of ______ degrees per minute after 8 minutes.
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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The temperature in an industrial pasteurization tank is
f(x)= x2 − 9x + 111 degrees centigrade after x minutes (for 0 ≤ x ≤ 11).
(a) Find f '(x) by using the definition of the derivative._________
b) Use your answer to part(a) to find the instantaneous rate of change of the temperature after 3 minutes. Be sure to interpret the sign of your answer.
The temperature is increasing or decreasing at a rate of ________degrees per minutes after 3 minutes.
c) Use your anser to part (a) to find the instantanrous rate of change after 8 minutes.
The temperature is increasing or decreasing at a rate of ______ degrees per minute after 8 minutes.
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