Programming Assignment #2: Grades (30 points)
Program Description:
This assignment will give you practice with parameters, returning values, and interactive programs. Turn in a
Java class named Grades
Math 180, Exam 1, Fall 2007
Problem 1 Solution
1. Find the limit, lim
x1
x2 + 2x 3
.
x2 x
Solution: Upon substituting x = 1 into the function f (x) =
x2 + 2x 3
we nd that
x2 x
x2 + 2x 3
12 + 2(1) 3
0
Math 180, Exam 2, Spring 2011
Problem 1 Solution
1. The graph of a function f (x) is shown below:
e
f
d
A
B
C
D
E
F
G
c
b
g
a
(a) Fill in the table below with the signs of the rst and second derivativ
Math 180, Exam 2, Spring 2010
Problem 1 Solution
1. Compute the indenite integrals:
(a)
(b)
x3 4x2 + 3x + 5 dx
x x2 1 dx
Solution:
(a) Using the linearity and power rules we have:
x3 4x2 + 3x + 5 dx =
Math 180, Exam 2, Practice Fall 2009
Problem 1 Solution
1. Dierentiate the functions: (do not simplify)
f (x) = x ln(x2 + 1),
f (x) = xe
f (x) = arcsin(2x + 1) = sin1 (3x + 1),
x
f (x) =
e3x
ln x
Solu
1
Running head: SOCIETY FOR HUMAN RESOURCE MANAGEMENT
Society For Human Resource Management
Prisca Burnett
Florida Institute of Technology
2
Running head: SOCIETY FOR HUMAN RESOURCE MANAGEMENT
The Soc
Grading Rubric - Mini Paper 1: SHRM
Note: This assignment is worth 5% of your overall grade
Content and Development
40% possible
Percentage Earned:
Required: Student provides a brief overview of the c
COM 2224 Business and Professional Writing
Team Evaluation Not Graded
This assignment is due twice during the semester:
o During Week 4 on Thursday at 11:59 p.m., EST/EDT
o During Week 8 on Thursday a
Grading Rubric - Mini Paper 2: So, whats affirmative action?
Note: This assignment is worth 5% of your overall grade
Content and Development
40% possible
Percentage Earned:
Required: Student has compl
Grading Rubric - Mini Paper 3: Healthcare Legislation
Note: This assignment is worth 5% of your overall grade
Content and Development
40% possible
Percentage Earned:
Required: Student has completed an
Grading Rubric - Peer-reviewed Journal Article Review
Note: This assignment is worth 20% of your overall grade
Content and Development
50% possible
Percentage Earned:
Required: Student has completed a
Solved Problems on
Limits and Continuity
Overview of Problems
1
x 3x 2
lim
x 2
x 2
3
lim x 1 x 1
2
x3 x2 x 1
lim
x x 3 3 x 2 5 x 2
4
lim x 2 x 1 x 2 x 1
2
5
7
2
x
2x
lim
2x x 1 x 3 x 1
x 0
lim
2
lim
Antoinette Mutume
1.609km = 1 mile, 65,000 miles = 1.046*10 8 m, 1 inch = 2.54cm
I assume that the average wheel has a diameter of 24 inches this is useful in figuring out
how much distance covered in
Math 180, Exam 2, Fall 2010
Problem 1 Solution
1. Find the following limits.
(a) lim
x0
(b) lim
x0
(c) lim
x
ex 1
sin x
ex
sin x 1
4x3 3x + 8
6x3 + x2 + x 12
Solution:
(a) Upon substituting x = 0 into
Math 180, Exam 2, Spring 2008
Problem 1 Solution
1. Find the derivatives of the following functions: (do not simplify)
(a) f (x) = x2 cos(x + 1)
(b) g(x) = sin(x ln x)
(c) h(x) = tan1 (2x2 + 1)
(d) k(
Math 180, Exam 1, Fall 2009
Problem 1 Solution
1. Evaluate the following limits.
(a) lim
x2
(b) lim
x1
x2 6x + 8
x2
x2 6x + 8
x2
Solution:
x2 6x + 8
we nd that
(a) Upon substituting x = 2 into the fun
Math 180, Exam 1, Spring 2009
Problem 1 Solution
1. Evaluate the limits, if they exist:
(a) lim
x1
(b) lim
x3
x+1
x2 + 1
2x2 7x + 3
3x x2
Solution:
x+1
is continuous at x = 1. In fact, f (x) is contin
Math 180, Exam 1, Spring 2008
Problem 1 Solution
1. The graph of a function f (x) is shown below.
(a) At which values of x is f discontinuous? Which of these discontinuities are removable?
Which are j
Math 180, Exam 1, Fall 2011
Problem 1 Solution
1. Evaluate the following limits. Show your work.
(a) lim
2 cos x
x+12
(b) lim
2x2 + 4x 1
x3 + 1
x0
x+
Solution:
cos x
(a) The function f (x) = 2x+12 is
Math 180, Exam 1, Fall 2012
Problem 1 Solution
1. Compute the derivatives of the following functions:
x
1 + x3
(b) y = sin( x + 1)
(a) y =
(c) y = x
sin(x) + 1
Solution:
(a) The derivative may be com
Math 180, Exam 1, Spring 2010
Problem 1 Solution
1. Evaluate the following limits, or show that they do not exist.
x9
(a) lim
x9
x3
(b) lim
x1
x2 3x + 2
x3 1
(c) lim
x1
|x + 1|
2x + 2
Solution:
x9
(a
Math 180, Exam 1, Spring 2011
Problem 1 Solution
1. Evaluate the following limits, or show that they do not exist
x2 + x 6
x2
x2 4
(a) lim
|x2 9|
x3 x2 + 9
(b) lim
(c) lim
x2
x2
x 2
Solution:
(a) Upo
Math 180, Exam 1, Study Guide
Problem 1 Solution
1. What is the slope of the linear function f (x) whose graph goes through the points (1, 2)
and (4, 4)? What is the value of f (7)?
Solution: The slop
Math 180, Exam 1, Practice Fall 2009
Problem 1 Solution
1. Evaluate the following limits, or show they do not exist.
(a) lim 2 cos x
x
x2 4
x2 x + 2
2 x5
(c) lim
x9
x9
(b) lim
Solution:
(a) The functi
Math 180, Exam 1, Spring 2012
Problem 1 Solution
1. Let c be a real number. Given
(x 1)2 x 3
6 cx
x>3
f (x) =
answer the following questions:
(a) Compute the left hand limit, lim f (x).
x3
(b) Compute
Math 180, Exam 1, Spring 2013
Problem 1 Solution
1. Find the value of constant c for which the function given by
cx + 5,
x1
2
x + x 3c, x < 1
f (x) =
is continuous at all points on the real line.
Solu
Math 180, Exam 2, Fall 2008
Problem 1 Solution
1. Find the derivatives of the following functions, do simplify.
(c) arctan(x)
(a) ln(x2 + x + 1),
(b) cos( x),
Solution:
(a) Use the Chain Rule.
[ln(x2