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 Problem 1 2 3 4 Total Score
 MAT 126 Calculus B Midterm 2 April 5, 2000

SHOW ALL YOUR WORK ON THESE PAGES! TOTAL SCORE = 100

1.
(30 points) Evaluate each of the following definite integrals.

(a)

(b)

(c)

2.
(30 points) Find the following antiderivatives.

(a)

(b)

(c)

3.
(30 points) The function f is given by the table of values below.

Approximate by using

(a)
the left sum with 3 subintervals

(b)
the trapezoid rule with 3 subintervals

(c)
Simpson's rule with 6 subintervals.

4.
(10 points) Define the function F by .(Since the integrand is undefined when t=0, we define its value to be 1 when t=0.)

(a)
Find the y-intercept of F.

(b)
Find all critical points of F in the interval (i.e., all values of x with F'(x)=0, ).

Tony Phillips
2000-05-02