Math 104 - Assignment 2
Tuessday, September 6, 2016
Week 2 Material: Chapter 6 - Applications of
integration
- Basic integrals; integration by substitution; fundamental theorem of
calculus
- Integrals to find area, volume, velocity, position, average value,
etc.
Textbook reading
- Chapter 5 -- sections 5.4, 5.5 and 5.6
- Chapter 6 -- where the course begins -- sections 6.1 and 6.2
Second Homework Assignment - due at lecture on Thursday, September
15.
- Reading: Read sections 5.4, 5.5, 5.6, 6.1 and 6.2.
- Textbook assignment: (submit nothing) Make certain you can do
the following problems from the textbook:
- Section 5.4, page 336 (old ed., page 333), # 15, 25, 51, 61, 73
- Section 5.5, page 345 (old ed., page 342), # 17, 29, 39, 51, 73 (old
ed., #71)
- Section 5.6, page 353 (old ed., page 350), # 17, 29, 39, 47, 55, 75,
101, 107
- Section 6.1, page 373 (old ed., page 371), # 3, 9, 17, 23, 33, 41,
53, 57
- Section 6.2, page 381 (old ed., page 379), # 3, 9, 17, 33, 41
- Textbook assignment: Submit answers to Homework Assignment 2 on
MyMathLab. If for some reason you are unable to access MyMathLab, the
Assignment 2 problems correspond roughly to the following textbook problems,
and if you need to, you can turn in solutions to the following textbook
problems on paper at lecture on September 15:
- Section 5.4, page 336 (old ed., page 333), # 16, 20, 52, 62, 78, 84
- Section 5.5, page 345 (old ed., page 342), # 24, 36, 54, 80 (old
ed., #78)
- Section 5.6, page 353 (old ed., page 350), # 30, 40, 48, 58, 68, 80,
98
- Section 6.1, page 373 (old ed,, page 371), # 2, 6, 16, 22, 32, 44,
52, 56
- Section 6.2, page 381 (old ed., page 379), # 4, 10, 18, 32, 48
- Old final exam problems to turn in: Six
problems on this link -- you should print out the file and show your work
for each problem on the page with the problem.
Bonus problem #2: Let ABC be a right-angled triangle with
angle ABC
= 90 degrees (so the right angle is at vertex B), and let D be the point
on side AB such
that AD = 2DB. What is the maximum possible value of angle ACD?
(Hint: This is a max-min problem, and the first hard thing is to
figure out what the variables are!)
For full credit, you must be as specific as you possibly
can! When you have solved it, either write up the solution by hand
and give it to me, or else send
the solution
to
deturck@math.upenn.edu
by electronic mail - extra credit for the first complete solution I
receive.