Quiz #1
January 24, 2008
Name:
MATH 152
This quiz is due by 1pm on Thursday, January 24. You can turn it in to my office ( Blocker 640d),
place it in my mailbox (Blocker 603) or e-mail a pdf version to me.
To receive full credit, all necessary work must be shown.
1. Compute these integrals.
(a)
Z
12x
dx
x+3
(b)
Z2
12x2 (2x3 + 5)5 dx
0
2. Use these equations for the following.
y = x2 + 4
y = 2x + 7
x=0
x=5
(a) Sketch the region that is bounded by the above equations.
(b) Set up the integral(s) that are used to compute the area in part a.
(c) compute the desired area.
3. Use these equations for the following.
x = y 2 − 4y
x = 2y
x=5
(a) Sketch the region that is bounded by the above equations.
(b) Set up the integral(s) that are used to compute the area in part a.
(c) compute the desired area.
4. Find the value of m so that the line y = mx will bisect(divide the area in half) the area that
√
is bounded by y = x, the x-axis and x = 4.