Find the average value of the functionf(x)=5x^5on the interval[?2,2]and determine a numbercin this interval for whichf(c)is equal to the average value.

a)Average value =320,c=?1

b)Average value =0,c=0

c)Average value =0,c=5

d)Average value =5,c=1

e)Average value =320,c=0

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Question 2

Find the average value of the functionf(x)= l 8x l on the interval[?6,6]and determine a numbercin this interval for whichf(x)is equal to the average value.

a)Average value =0,c=3

b)Average value =24,c=3

c)Average value =24,c=4

d)Average value =0,c=4

e)Average value =48,c=?3

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Question 3

Find the average value of the functionf(x)=12x?6x^2on the interval[0,4]and determine a numbercin this interval for whichf(x)is equal to the average value.

a)Average value =0,c=0

b)Average value =?8,c=1?(SQRT(21)/(3))

c)Average value =?8,c=1+(SQRT(21)/(3))

d)Average value =?32,c=0

e)Average value =?32,c=1+(SQRT(21)/(3))

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Question 4

Find the average value of the functionf(x)=4sin(x)on the interval[?/2,3?/2]and determine a numbercin this interval for whichf(x)is equal to the average value.

a)Average value =2,c=0

b)Average value =0,c=?

c)Average value =0,c=3?/4

d)Average value =1,c=?/2

e)Average value =2,c=?

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Question 5

Suppose thatb>0and that the average value off(x)=3x?3on[0,b]is1/4. Find the value ofb.

a)11/6

b)13/6

c)5/6

d)25/12

e)23/12

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Question 6

6 For an even function at) with an average value of 4 on the interval [6, 6] , determine / f (x) dx. 0 a) 648 b) IICT 48 c) It') 12 d) I\"? 24 e) If? 24 Set up the integral needed to nd the area of the region bounded bewteen the graph of f(x) = 6 + 5x x2 and thex axis. Set up the integral needed to nd the area of the region bounded bewteen the graph of f (x) = x2 + 3 x and g(x) = 18. 6 a) (7/ (x2+3x+ 18)dx 3 3 b):\"',/ (x2+3x18)dx 6 6 cm/ (183xx2)dx 3 6 dm/ (x2+3x+18)dx 0 3 ew/ (183xx2)dx Which of the following integrals represents the area of the region bounded by the curves? \fThe graph of f (x) is given below. Use this graph to nd the average value of f (x) from x = 0 to x = 7: 4 \f