Math 3B — Exam 2A
Instructor: Faun Maddux
Name: K132 July 7, 2016
100 points
You must show all work that you wish to receive credit for! GE
Leave all answers exact unless speciﬁed otherwise.
7r/4 tan
1. Use your calculator to evaluate I x dx (round to 3
San Jos State University
Department of Mathematics
Math 31
Calculus II
Catalog Description
Definite and indefinite integration with applications. Sequences and series. Graphical,
algebraic and numerical methods of solving problems. 4 units.
Prerequisite
M
Exam 2 Study Guide
Chapter 14.1) Multivariate Functions
Understanding graphs of functions in 3D
Domains and ranges of multivariate functions
Reading contour plots
Chapter 14.2) Limits and Continuity
Showing that a limit does not exist
Chapter 14.3)
Math 13300, Section 50
1st homework, due Thursday, 4/13.
You only need to hand in your solutions for the following 10 computational problems. Compute
the following antiderivatives:
Z
1
1.
dx
2
x +1
Z
2
2.
dx
2
x +4
Z
3
3.
dx
2
2x + x + 1
Z
x
4.
dx
2
x +1
Math 13300, Section 50
Homework 3, due Thursday, May 4.
Question 1. Determine whether the given sequence converges or diverges and, if it converges,
find lim an .
n
ln n
(1). an = .
n
(2). an =
n3
.
en
sin n1
(3). an =
n
(4). an = n + 1 n 1
Question 2. De