MATH 120 Test 1
Fall 2016 6 Oct.
Name: Evam N) .1 l 9 C
(please print your name)
Your student number: ._OOO 000 O l
o Read each question carefully, and make sure you understand every
part of it.
0 M
M AT H 1 2 0
Differential and Integral Calculus
Fa l l 2 0 1 5 P r o b l e m S e t # 1
Due Thursday September 24
Write your name and student number very clearly in the upper right hand corner of your
Math 120
Homework Assignment 13
due date: Jan. 13, 2008
1. In class we saw that if f is an integrable function on an interval [a, b], and if m
b
f (x) M for all x [a, b] then m(b a) a f (x) dx M(b a)
Math 120
Homework Assignment 14
due date: Jan. 20, 2009
Solve the following antiderivative problems
1. Substitution
Suggestions
(a)
e x
dx
x
(b)
arctan(y)
dy
1 + y2
(c)
ln(ln z)
dz
z ln z
(d)
x
dx
1
Math 120
Homework Assignment 16
due date: Feb. 4, 2009
1.
(a) Sketch the area between the graphs of y = x and y = sin(x) on the interval [0, ].
2
(b) Find the volume of the solid obtained by rotating
Math 120
Homework Assignment 17
due date: Feb. 10, 2009
The idea in problems 13 is to nd the correct integral to solve the problem, and then
evaluate the integral to nd the exact answer. In each of pr
M AT H 1 2 0
Differential and Integral Calculus
Fa l l 2 0 1 5 P r o b l e m S e t # 4
Due Thursday, October 15.
Write your name and student number very clearly in the upper right hand corner of your
M AT H 1 2 0
Differential and Integral Calculus
Fa l l 2 0 1 5 P r o b l e m S e t # 2
Due Thursday, October 1
Write your name and student number very clearly in the upper right hand corner of your fr
Math 120
Homework Assignment 12
due date: Dec. 5, 2008
1. Here is a graph of a function f , made up of straight lines and pieces of circles:
y = f (x)
5
4
3
2
1
0
1
2
3
4
5
0
1
2
3
4
5
6
7
8
9 10 11 1
Math 120
Homework Assignment 11
due date: Nov. 25, 2008
1. Evaluate the following sums:
5
(k 2 2k + 2)
(a)
k=1
6
1
k2 1
(b)
k=2
Put the following expressions into sum notation:
(c) 1 +
(d)
1
2
1
4
+1+
Math 120
Homework Assignment 10
due date: Nov. 18, 2008
1. Suppose that f and g are functions that are dened on all of R, that f is a concave
up, increasing function, and that g is a concave up functi
Math 120
Homework Assignment 1
due date: Sept. 16, 2008
1.
(a) If a is rational and b irrational, what can you say about a + b? (i.e, is it rational
or irrational?) What if a and b are both irrational
Math 120
Homework Assignment 3
due date: Sept. 30, 2008
1. Find (with proof) the following limits:
3x 2
x4 2x 3
(a) lim
|3x 15|
x5 2x 10
(b) lim
(c) lim (x2 + 4)
x6
That is, if you think that the limi
Math 120
Homework Assignment 4
due date: Oct. 7, 2008
1. In each of the following questions, either give an example or a proof to back up your
answer.
(a) If lim f (x) and lim g(x) do not exist, can l
Math 120
Homework Assignment 5
due date: Oct. 15, 2008
1. Prove that there is some real number x so that
(a) x179 +
1+
x2
163
= 119.
+ sin2 (x)
(b) sin(x) = x 1.
(The xs which solve parts (a) and (b)
Math 120
Homework Assignment 6
due date: Oct. 21, 2008
1. Interpret each of the following limits as computing the derivative f (a) of some
function f at some point a, and then use the derivative funct
Math 120
Homework Assignment 7
due date: Oct. 28, 2008
1. Exponentials!
(a) If c is a constant, nd
d cx
e .
dx
(b) If b is a positive number, explain why b = eln b and why bx = e(ln b)x .
(c) Find
d x
Math 120
Homework Assignment 8
due date: Nov. 4, 2008
1. Suppose that a(x) and b(x) are two functions whose domain is all of R, and that we
know the following six things about them:
(i) a(x)
2
b(x)
2
Math 120
Homework Assignment 9
due date: Nov. 11, 2008
1. Each of these parts will require some application of the mean value theorem.
(a) If f and g are functions which are continuous on an interval
M AT H 1 2 0
Differential and Integral Calculus
Winter 2018 Problem Set #12
Due Wednesday, January 17
Answer each of the following questions and upload your answers to Crowdmark. Make sure
you upload
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