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Math 1B Homework Assignment 5
Jan 28 – Feb 5, 2016
Date Assigned
Thurs 1/28
Date Due
Fri 2/5
Fri 1/29
Mon 2/1
Tues 2/2
Fri 2/5
Fri 2/5
Fri 2/5
Wed 2/3
Fri 2/5
Thurs 2/4
Fri 2/12
Section
6.2
Assignment
#2 below
p438 #3, 5, 21, 24 (Ans.  9 ) (see note below)
p438 #7, 9, 11, 17 (see note below)
6.2
p445 #5, 13, 15 (see note below)
6.3
p453 #3, 7, 9
6.5
p457 #15a partition x-axis (see note below)
Quiz Tues
6.1 Finding the area of a region in the plane
6.2 Volumes by Slicing
p468 #1, 3, 5, 9, 11, 13
7.1a
p457 #15c partition the y-axis (see note below)
7.1b
1
p468 #15, 17, 19, 25, 27, 29(hint:
e
Fri 2/5
Fri 2/12
2y
 e 2 y
)
HW Assignment 5 due Friday
6.2 circular disk and ring, 6.3, 6.5, 7.1a
Complete trig review (see below)
7.2
p476 #1, 3, 5
* When doing your homework, for every volume (6.2 and 6.3) problem you must:
 Sketch a graph of the region. You may use your calculator to help with this.
 Find the exact points of intersection for the desired region
 Sketch a typical rectangle on your graph and sketch the element of volume
 Write a volume statement involving the limit of a Riemann sum and then get the
corresponding definite integral
 Evaluate the integral
HW Problem #2 from Thurs 1/28
2. The Pyramid Arena in Memphis has a square base of side 600 ft. and a height of 320 ft.
Find the volume of the pyramid with these measurements using slices parallel to the base.
(Ans: 38,400,000 ft3)
Trig Review
You are responsible for this material for the remainder of the course. Refer to Appendix D, pA2431, if you do not remember how to do any of these problems.
1. Find the exact trigonometric ratios, sin  , cos  , tan  , cot  , sec , and csc , for   53 .
2. Use a right triangle to find the remaining trigonometric
ratios if sin   53 .
3. Use a right triangle to find the remaining trigonometric
θ
ratios in terms of x if tan  x .
4. Find exact values of the following expressions:
a. sin 1  12 
b. arctan(1)
d. arcsin 1
e. sin cos 1  12 

c. tan 1 3

5. Complete and memorize the following identities:
a. sin 2   _______  1
b. 1  _______  sec2 
c. __  ________  csc2 
f. sec  arctan 2