1. Suppose that04(x)dx=5 and02f(x)dx=3 , and04g(x)dx=1 and02g(x)dx=2 compute24g(x)dx

A) 3

B)4

C)5

D) 6

E) None of the above.

2. Suppose that for each I such that1iN one hasi1if(t)dt=i

what is010f(t)dt

A) 25

B) 35

C) 45

D) 55

E) None of the above

3. When creating a left-endpoint Riemann sum on the interval [5, 10] using 10 rectangles, the 6thendpoint used to calculate the height of the approximating rectangle would be

A) 7

B) 7.5

C) 8

D) 8.5

E) None of the above

4. Consider the functiony=x²9. on the interval [-b, b]. What value does b have to be in order for the area between and the x-axis and [-b, b], to equal-36?

A) 0

B) 9

C) -9

D)3

E) None of the above

5.Consider two functions y₁=f(x) andy₂=g(x), and that ₁y1=y2except where they intersect.If these two functions intersect at 14 places, how many different integrals do you need to find the total area enclosed by the two curves?

A) 13

B) 14

C) 15

D) 16

E) None of the above

6. A jar contains 8 differently coloured balls. If you remove all the balls, one at a time, how many colour sequences are possible?

A) 7!

B) 36

C) 8

D) 8!

E) None of the above