Math 127
Worksheet #5
November 22, 2016
1. Find an antiderivative for each of the following functions:
(a) f (x) = x2 3x + 2
(d) f (x) = 2 sin(x) sec2 (x)
(b) f (x) = (x 5)2
(e) f (x) = 2x x2
1 2
(f) f (x) =
5 x
(c) f (x) = 2 cos(x)
3
1 x2
2. A particle
Math 114 - Fall 2016 - Assignment 1
Due: Friday, September 23 at 4:30PM in dropbox 7 outside of MC 4066
Vectors
1
1
2
1. Given ~x = 2, ~y = 3, and ~z = 0 in R3 , compute:
0
1
1
(a) ~x + ~y 2~z
(b) 3~x 2~y + ~z
2. A hiker begins a multi-day trip star
Math 114 Assignment 0
Ungraded and optional
Objectives: Practice submitting assignments in drop boxes. Break the ice.
Due Date: Friday September 16th, 2016.
Question 0: Introduce yourself
Please write down your preferred name and a memorable fact/anecdote
Math 114 - Fall 2016 - Assignment 2
Due: Friday, October 7 at 4:30PM in dropbox 7 outside of MC 4066
Dot Product
3
3
and
.
1. Find the angle between the vectors
1
1
2. The Triangle Inequality states that any two vectors ~x and ~y in Rn satisfy
k~x +
Math 114 - Fall 2016 - Assignment 5
Due: Friday, November 18 at 4:30PM in dropbox 7 outside of MC 4066
Inverses
1. Find
the inverseof the following matrices
1 1 2
2
a) 1 2 2
b) 4
1 1 3
2
or
3
2
5
showthat the inverse does not exist:
1
1
5
2. Consider t
Math 114 - Fall 2016 - Assignment 3
Due: Friday, October 21 at 4:30PM in dropbox 7 outside of MC 4066
Complex Numbers
1. Use Eulers Formula to convert the following complex numbers to standard form:
(a) ei/2
(b) e2i/3
1 + 3i
as an exponential using Eulers
y W
I (14 I H I EN? *3-
mm-
I_IIHII
I LET 6 BE THE , ,.
I 3 45
I co .3 = _ _
I W 4?
Ilil- - _
IIIIIII
| . _ .
I'llll' 13* " = 3+! = J"? =7.
Illliill 431+" s 3+: 1 J17 =2, a q 4: mENT #1 An 0
['1
p a) 5H0! Trim 3? = Am "= I $61:st
TE 1. mmme.
III-III SI II