Math 121
Quiz #2
Problem 1
A debtor is to amortize a $7000 car loan by making equal payments at the need of each month for
36 months. If the APR is 4% compounded monthly, nd the amount of each payment.
Answer
A
an r
7000
R=
a36|.04/12
R=
Potentially Usefu
Math 121 HW #5
Due: Mar. 30
Chapter 11.1
Chapter 11.4
14. Use the denition of derivative to nd
Dierentiate the following functions, likely using
the product or quotient rules.
11.
f (w) = (w2 + 3w 7)(2w3 4)
15.
F (p) = 3 (5 p 2)(3p 1)
2
16.
f (x) = ( x +
Math 121 HW #4
Due: Mar. 9
Chapter 10.3
29.
Prove that the following functions are continuous
at the given points:
31.
1
1
f (x) =
x0
x<0
f ( x) =
2.
F (x) =
x1
x>1
f (x) =
x3
; x = 3
5x
0
x1
x3
3 2x
x>2
x<2
32.
5.
x4
; x=4
x+4
Chapter 10.4
Determine if t
Math 121 HW #3
Due: Feb. 16
Chapter 10.2
Chapter 10.1
For these problems, nd the indicated limits. It For these problems, nd the indicated limits, or
say that one does not exist.
may be helpful to graph these at times.
3.
9.
lim x 2
lim 16
+
x2
x3
10.
4.
Math 121 HW #2
Due: Feb. 7
Chapter 5.4
end of each month for three years. If interest is
at 14% compounded monthly, how much is each
13. Find the present value of an annuity for payment?
which $600 is paid each year for 6 years at the
rate of 6% compounde
Math 121 HW #6
Due: Apr. 6
Chapter 11.1
Chapter 11.4
24. Find an equation of the tangent line to the 58. The position of a baseball hit by a batter
follows the function
curve y = 3x2 4 at the point (1, 1).
t+3
s= 2
27. Find an equation of the tangent line
Math 121
Quiz #6
Problem 1
Find the following antiderivative
f ( x) =
7 + e2x + 3x2 +
1
dx
x2
Answer
As we did for derivatives, we need to break up integrals into pieces. In this case, each of the pieces
can be handled with the power rule
xn dx =
1
xn+1 +
Math 121
Quiz #5
Problem 1
Find the derivative of the function
f (x) = 1 + 2x 3x2 + 4x5/2 5x2/3 +
6
x
Answer
This problem needs to be broken into pieces, and each piece needs to be dierentiated individually.
Luckily, all of these terms can be dierentiated
Math 121
Quiz #4
Problem 1
Problem 1.a
What is the denition of continuity? (Hint: Two things should be set equal )
Answer
A function f is continuous at a point a if f (a) exists and
f (a) = lim f (x)
x a
Problem 1.b
Consider the function
f (x) = log x +
1
Math 121
Quiz #1
Problem 1
I am a famous art critic who recently sold a painting for $100. That $100 was deposited into a
bank account earning 10% APR compounded monthly. Using that information, solve the following
problems.
Problem 1.a
How much money wil
Math 121 HW #1
Due Jan. 31
For problems in this assignment it may be useful did the painting appreciate in value?
to use a calculator. I do not expect anyone to
own a calculator and it is not required for this
assignment. You may leave problems in uneval-