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Question 2. Recall that Net Change Theorem stated that ↑ F'(t)dt = F(b) – F(a), implying integral of rate of change is net change. A bakery produces cakes at a rate of c'(t), where c(t) is the number of cakes that have been made by time t. Below is the graph of c'(t) from when the bakery opened to 12 hours after. M 0 10 (a) Assuming the bakery had 0 cakes made when it opened, find the overall number of cakes made in the first 10 hours using Net Change Theorem. Your answer should be exact, not an approximation. In words, state what f c'(t)dt means in the context of this problem.

Question 2. Recall that Net Change Theorem stated that ↑ F'(t)dt = F(b) – F(a), implying integral of rate of change is net change. A bakery produces cakes at a rate of c'(t), where c(t) is the number of cakes that have been made by time t. Below is the graph of c'(t) from when the bakery opened to 12 hours after. M 0 10 (a) Assuming the bakery had 0 cakes made when it opened, find the overall number of cakes made in the first 10 hours using Net Change Theorem. Your answer should be exact, not an approximation. In words, state what f c'(t)dt means in the context of this problem.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question 2. Recall that Net Change Theorem stated that F'(t)dt = F(b) – F(a), implying integral of rate of change is net change. A bakery produces cakes at a rate of c'(t), where c(t) is the number of cakes that have been made by time t. Below is the graph of c'(t) from when the bakery opened to 12 hours after. m a ê 10 (a) Assuming the bakery had 0 cakes made when it opened, find the overall number of cakes made in the first 10 hours using Net Change Theorem. Your answer should be exact, not an approximation. 9 In words, state what f c'(t)dt means in the context of this problem.
Transcribed Image Text:Question 2. Recall that Net Change Theorem stated that F'(t)dt = F(b) – F(a), implying integral of rate of change is net change. A bakery produces cakes at a rate of c'(t), where c(t) is the number of cakes that have been made by time t. Below is the graph of c'(t) from when the bakery opened to 12 hours after. m a ê 10 (a) Assuming the bakery had 0 cakes made when it opened, find the overall number of cakes made in the first 10 hours using Net Change Theorem. Your answer should be exact, not an approximation. 9 In words, state what f c'(t)dt means in the context of this problem.
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