Math 112-007
Exam 1
2/6/2013
Name:
Include all of your work to get credit. Read and follow the instructions carefully. As always, abide by the
Emory College honor code. Clearly mark your answers. The back pages can be used for scratch paper.
By signing my
Math 112-007
Quiz 2
1/30/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. (4) Sketch the graphs of f (x) = ln(x) and g (x) = ex on the same plane. Make sure to clearly mark
x and y intercepts.
2. (6) Evaluate the
Math 112-007
Quiz 1
1/23/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. Determine whether the following functions have inverses. Find the inverses that exist.
(a) f (x) = (x + 2)2 1
(b) g (x) = (3x + 1)3 + 5
2.
Math 112-007
Exam 3
4/10/2013
Name:
Include all of your work to get credit. Read and follow the instructions carefully. As always, abide by the
Emory College honor code. Clearly mark your answers. The back pages can be used for scratch paper.
By signing m
Math 112-007
Exam 1
2/6/2013
Name:
Include all of your work to get credit. Read and follow the instructions carefully. As always, abide by the
Emory College honor code. Clearly mark your answers. The back pages can be used for scratch paper.
By signing my
Math 112-007
Quiz 3
2/13/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. Compute the following limits
8t 5t
t0
t
(a) (3) lim
(b) (3) lim xex
x
(c) (4) lim x sin
x
1
x
Math 112-007
Quiz 4
2/20/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. Evaluate:
x cos(x) dx
(a) (3)
4
(b) (3)
1
ln(y ) y dy
(c) (4)
9 x
dx
(x 1)(x2 + 9)
Math 112-007
Quiz 9
4/24/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. Find the exact length of the curve
y = ln(sec x), 0 x 3/4
(Hint: sec2 x = 1 + tan2 x)
2. The given curve is rotated about the x-axis. Find
Math 112-007
Quiz 8
4/3/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. Find the radius of convergence and interval of convergence of the series:
(3)n n
x
nn
n=1
2. Find a power series representation for the fun
Math 112-007
Quiz 7
3/27/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. Test the series for convergence or divergence.
(a) (2 pts)
n=3
(b) (4 pts)
n=1
n
2
n
3n n2
n!
3
(c) (4 pts)
n=1
k3
k
+ 4k + 3
Math 112-007
Quiz 5
2/27/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. Evaluate:
(a) (4)
2
e5x dx
9
(b) (6)
0
3
1
dx
x1
Math 112-007
Quiz 6
3/20/2013
Name:
Include all of your work to get credit. There is another problem on the back.
1. (5) Use the Integral Test to determine whether the following series is convergent or divergent.
n=2
1
n ln n
2. (5) Use the Alternating Se