Name
Student ID #
Class Section
Instructor
Math 1220
Fall 2008
EXAM
Dept. Use Only
Exam Scores
Problem Points Score
1.
20
2.
20
3.
20
4.
20
5.
20
TOTAL
Show all your work and make sure you justify all your
answers.
Math 1220
Exam
1. note that this a complete study guide for your exam, and that there
are possibly a typo or two in places.
2. Do the following problems.
(a) Dierentiate f (x) = (arccos(x2))2
(b) Dierentiate f (x) = arcsin(2x2 )
(c) Dierentiate f (x) = arctan(sec(x))
(d) Dierentiate f (x) = ln(sinh(x)) + tanh(x)
1
3. A word problem (or a theoretical problem) will be on your exam I
suggest studying your homework, and notes.
4. Integrate the following problems
R
(a) xex dx
(b)
R
cos(x)ex dx
(c)
R
1
2x2 +8x+25 dx
(d)
R
p 2x 4 dx
1 x
2
5. Do the following problems.
(a) Find the inverse of y = tanh(x) and the derivative of the inverse
function.
(b) Find the derivative of y = cosh(3x) + sinh 1 (ex)
3
6. Integrate the following problems
R
(a) ln(x)dx
(b)
R 5
t ln(t7 )dx
(c)
R 2
x cos(x)dx
(d)
R
cos4 (t)dx
(e)
R
cos(21x)sin(6x)dx
(f)
R
tan4 (x)dx
4