Written Assignment 6
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 9.4
2. Plot the given polar points (r, ) and find their rectangular representation.
(2, )
(2, )
x 2 cos 2
y 2sin 0
Rectangular rep (-2,0)
6. P
Written Assignment 8
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 8.4
2. Determine whether the series is convergent or divergent.
(1)
k 1
k
2
k2
2
k2
k 1
1
2 ( 1) k 2
k
k 1
1
lim 2 0 Converges
k k
2
( 1) k 2
Written Assignment 10
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 8.7
6. Find the Maclaurin series (i.e., Taylor series about c = 0) and its interval of
convergence.
f ( x) e x
f ( x) e x
f (0) e 0 1
f ('x )
Written Assignment 4
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 6.6
2. Determine whether or not the integral is improper. If it is improper, explain why.
(a)
0
(b)
x
2/5
dx
3
2 x dx
(c)
2
2
3
dx
x
(a) Impro
Written Assignment 3
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 6.4
2. Find the partial fractions decomposition and an antiderivative.
5x 2
x2 4
5x 2
5x 2
dx
2
( x 2)( x 2)
4
2
3
5 x 3 A( x 2) B ( x 2)
x 2
Written Assignment 5
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 9.1
2. Sketch the plane curve defined by the given parametric equations, and find an x-y
equation for the curve.
cfw_
x 1 2cos t
y 2 2sin t
WA
Written Assignment 4
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 6.6
2. Determine whether or not the integral is improper. If it is improper, explain why.
(a)
0
(b)
x
2/5
dx
3
2 x dx
(c)
2
2
3
dx
x
(a) Impro
Written Assignment 9
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
*Submitting a graph is not required; however, you are encouraged to create one for your own
benefit and to include (or describe) one if possible.
Sect