Test time = 8:30 11:30 (+5 points, if you circle the correct one) MAT 200 Fall 2006, Exam 1, Sept 26, Style (Maximum of +5 points) Name (+5 points if your name is printed legibly)
1. (+10 points) The
TEST 2
(MATH 200 (A), Fall 06)
1. Evaluate the following integral:
2 sin 6 cos 2 d .
(10 pts)
2. Show that:
/4
0
tan 4 x sec 4 x dx
12 . 35
(10 pts)
3. Using the identity cos 2 x sin 2
TEST 2
(MATH 200 (A), Fall 06)
1. Evaluate the following integxal: g2 sin 66 cos 26 d0 . ' (l0 pts)
f" q . . l» , f V . _b
r 5 f ,. ~ 4; "~ 2 ; n 5 ~' r x i g an) r;
{3 a. mainlmoéliSgnnmgdy293
Midterm Exam
(Math 200 A, Fall 06)
Solve the following problems. Show all your work in the space under each problem.
1. Answer the following: (a) Evaluate the integral:
(15 pts)
2
1
1 (1 ) dx
HOMEWORK 2
(Math 200 A, B)
1. What is the value of c if
(1 c)
n2
n
2 ?
(10 pts) (30 pts)
2. The Fibonacci Sequence is defined by the following equations: f 1 1 , f 2 1 , f n f n 1 f n 2
HOMEWORK 1
(Math 200 A, B)
1. Establish the following reduction formulas: (a) sec n x dx
n
(20 pts)
sec n 2 x tan x n 2 sec n 2 x dx n 1 n 1
tan n 1 x tan n 2 x dx (b) tan x dx n 1
(Hint:
TEST 3
(MATH 200 (A), Fall 06)
1. Use partial fractions to show that
k (k 1) 1 .
k 1
1
(10 pts)
2. For the geometric series (a) the first three terms
e
n 0
3 n
, find the following: (b)