Question

7.) Solve below:

a.

Find the average value of

f(x)=3^−x(5x−2)^2

on the interval [4, 7].

a) 5.35

b) 3.45

c) 1.78

d) 0

e) 8.06

f) None of the above

b.

The temperature in Minneapolis over a 12 hour period can be modeled by the function

C(t)=−0.05t^3+0.2t^2+2.8t+5.2

where t is measured in hours with t = 0 corresponding to the temperature at 12 noon. Find the average temperature during the period from noon until 8 p.m.

a) 0 degrees

b) 1.5 degrees

c) 14.3 degrees

d) 5.9 degrees

e) 114.1 degrees

f) None of the above

c.

Find the area bounded by the graph of f(x)=x^2−64 , the x-axis and the lines x=−5 and x=2.

a) 403.6667

b) 556.6667

c) 231.0000

d) 250.6667

e) 55.3333

f) None of the above