Find the average value of the function
D)

Question

Find the average value of the function  ​
D)​

Quizplus · Accepted Answer

To find the average value of the function, we need to find the definite integral of the function from 0 to 5 (the given interval) and divide by the width of the interval. Using integration rules, we get:

(1/5)[(5^2/2)e^(-5/2) - (0^2/2)e^(0)] = (1/5)((25/2)e^(-5/2)) = (5/4)e^(-5/2)

When we round this to the nearest hundredth, we get approximately 0.30. Option C has the value of 11eb0d3b_989e_fda0_9790_7b64c4e7e8c9_TB1243_11, which matches our calculated value. Therefore, option C is the correct answer.

Find the Average Value of the Function ​

Find the Average Value of the Function