Math 131 Homework 3
Homework Assignment 03
Due: Friday January 24, 2014
Name: _
Grade _/10
1.
The table to the right lists US life expectancy in years for
ages between 10 and 70 years.
From the previous homework assignment you generated a scatter
plot for
Math 131 Essentials of Calculus
Homework Assignment #14
Due Friday February 21, 2014
Name: _
Grade_/10
Differentiate the following.
1.
d x 2
(e x )
dx
2.
d x3
dx e x
3.
d ex
dx x
4.
d 2
( x ln ( x ) )
dx
5.
d ln ( x )
dx x
6.
d x
( e ln ( x ) )
Math 131 Essentials of Calculus
Homework Assignment #15
Due Monday February 24, 2014
Name: _
Grade: _/10
Tangent Line Approximations: Given a function y = f ( x ) to approximate its value at
f ( x1 ) = f ( x0 + x ) where x = x1 x0 and the value of f ( x0
Math 131 Essentials of Calculus
Homework Assignment #13
Due: Wednesday February 19, 2014
Name: _
Grade : _/10
Mixed Quotient and Product Rules: Differentiate the following
1.
2
d ( x + 1) ( x + x + 1)
Reduce!
dx
x2 + 1
2.
d x
d x x
2 = 2
dx x + 1
d
Math 131 Essentials of Calculus
Homework Assignment #12
Due Monday February 17, 2014
Name: _
Grade: _/10
Differentiate the following using the product rule first, then multiplying out to get the
polynomial and differentiate the polynomial. Check that the
Math 131: Essentials of Calculus
Homework Assignment 10
Due Wednesday February 12, 2014
Name: _
Grade : _/10
Using the rules for differentiation differentiate the following polynomials. Do not use the limit of
the difference quotient definition to calcula
Math 131 Essentials of Calculus
Homework Assignment #11
Due Friday February 14, 2014
Name: _
Grade _/10
Using the rules for differentiation differentiate the following functions. Do not use the limit of
the difference quotient definition to calculate your
Math 131: Essentials of Calculus
Homework Assignment 09
Due: Monday February 10, 2014
Name: _
Grade: _/10
Do the following for questions 1 3 below.
a.
Using the limit of the difference quotient definition of derivative, find the
derivative f ( x ) for the
Math 131 Essentials of Calculus
Homework Asgt 02
Due: Wednesday January 22, 2014
Name: _
1
Using your grapher
a.
Using your grapher graph the function y = x 3 2 x 2
Grade: _/10
11
15
x + on the closed interval
4
4
[ 10,10] .
Using the zero app find the z
Math 131: Essentials of Calculus
Homework Assignment 07
Due: Wednesday February 5, 2014
Name: _
Grade: _/10
1.
Continuity: To determine if a function is continuous at a point c you need to verify three
things
1.
Does f(c) exist?
2.
Does the limit lim f (
Math 131: Essentials of Calculus
Homework Assignment 08
Due: Friday February 7, 2014
Name: _
Grade: _/10
Do the following for each of the functions given below.
a.
Using the limit of the difference quotient definition, find the derivative
f ( x ) for the
Math 131 Essentials of Calculus
Homework Assignment 06
Due Monday February 3, 2014
Name: _
Grade _/10
1.
Using the constant, identity, and algebraic rules, evaluate the following limits (keep in
mind the Law of Least Astonishment). Remember to follow thru
Math 131 Essentials of Calculus
Homework Assignment 05
Due Wednesday January 29, 2014
Name: _
Grade _/10
Note: In the previous homework assignment the functions in questions 1 -3 were shown to be 1:1.
1.
Find the inverse for the 1:1 function f ( x ) = 5 x
Math 131 Essentials of Calculus
Homework Assignment 04
Due: Monday January 27, 2014
Name: _
Grade _/10
1.
Find the domain (and range) for the following functions. To find the range begin with the
graph Express both in interval notation.
5
x+2
a.
f ( x) =
Math 131 Homework 1
Due: F 1/17/2014
Name: _
Grade: _/10
1.
Factor completely the following. Check your work by FOIL-ing your factors
a.
x2 5x + 4
b.
2 x 2 + 7 x 30
c.
6 x 2 + 7 x 20
d.
x 4 + 3 x 2 28
e.
x3 27
f.
x3 + 8
g.
x 2 81
h.
2 x3 + 7 x 2 + 3x
2.
S