Fall 2013
Kronenthal
MAT 181-050
Section 3.1
Supplemental Graded Homework Problem
In this problem, we will answer the following question:
Where is f (x) = |x| dierentiable?
To do this, answer the following questions. Be sure to show all work and completel
Fall 2013
Kronenthal
MAT 181 Section 050
Homework for Section 4.9
Find all antiderivatives of each of the following. Check your work by dierentiating your solutions.
1. f (x) = 3x5 5x9
4
2. f (x) = 4 x x
3. f (x) = (3x + 1)(4 x)
4. f (x) =
4x4 6x2
x
5. f
Fall 2013
Kronenthal
MAT 181 Section 050
Optional Bonus Problems
Due on Friday, November 22
In class on Friday, November 15, we learned that if f is continuous (or has at most nitely many jump
discontinuities) on [a, b] , then f is integrable on [a, b].
1
Fall 2013
Kronenthal
Name:
Math 181 Section 050
Review Worksheet
August 26, 2013
Directions: These problems are designed to remind you of a few of the concepts you should have seen in
an algebra or Precalculus course. Relax, try your best, and be sure to
Fall 2013
Kronenthal
Math 181 Section 050
Section 2.3: Limit Laws
September 3, 2013
The following limit laws are presented in section 2.3. Every time you use one of these laws in homework
problems from this section, you should use the labels below to indi
Fall 2013
Kronenthal
MAT 181 Section 050
Graded Homework on Sigma Notation
1. * Prove that
n
i=
i=1
n(n + 1)
.
2
Hint: You may want to do this in two separate steps. First, prove it when n is even. Then prove it
when n is odd.
2. * (Optional problem for e