Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose the depth of water in the lake at time t is given by h(t) = 5 -1/3t
What is the average depth of the lake over the first 12 months?
![Again, suppose the depth of water in the lake at time t (where t is measured in months\) is given by h(t) = 5
t. What is the average depth of the lake over the first 12 months?
O a. 2
O b, 2,5
Oc 3
O d. 10
Note, In fact, the integral formula form the video is how we define the average value of a function in general: If f(r) is continuous on [a, b]m then the average value of f(r) on la, b) is
1
fave =
b- aJ f(z) dz.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35244463-d47b-474b-8c61-6114c003bbf7%2F9e535fb4-229f-4528-848e-c97737c518ef%2F77tmgvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Again, suppose the depth of water in the lake at time t (where t is measured in months\) is given by h(t) = 5
t. What is the average depth of the lake over the first 12 months?
O a. 2
O b, 2,5
Oc 3
O d. 10
Note, In fact, the integral formula form the video is how we define the average value of a function in general: If f(r) is continuous on [a, b]m then the average value of f(r) on la, b) is
1
fave =
b- aJ f(z) dz.
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