Math 182 Practice Exam 1 Name

October 4, 1996 Show all work Instructor

1. Find

2. Evaluate the following integrals exactly. [Do not estimate.]

(4 pts) a)

(8 pts) b)

(8 pts) c)

(10 pts) d)

(10 pts) e)

(14 pts) f)

3. The standard normal distribution function is graphed below.

b
1	0.3413
2	0.4772
3	0.4987
4	0.5000

Use the information given in the table and the symmetry of the standard normal curve to find:

a. b.

A car is coming down I-90. It moves so that at time t its acceleration is 30 sin t ft/sec² , where t is in seconds. At time t = 0, its velocity is 30 ft/sec.

a. Find the car's velocity as a function of time.

b. How far did the car travel between t = 0 and t = 3?

Extra Practice: Given that and , determine the exact value of

. [Do not approximate; leave your answer in exact form.]