1. Describe the different phases of the cell cycle and briefly explain the function of each:
a. G1: (between M phase and S phase; deciding whether to replicate; resetting of the cell cycle, destructio
MATH 1451, EXAM 3 (solutions), 12 NOVEMBER, 2010
(Each of the following ve problems is worth 12 points, 6 points for each part. When in
doubt, draw a picture. BE SURE TO SHOW ALL YOUR WORK.)
(1) (a) A
MATH 1451, QUIZ 5 (solution), 30 SEP., 2010
6
x2 dx.
(1) Compute MID(3) for the integral
0
The three subintervals are [0, 2], [2, 4], and [4, 6], with midpoints 1,3,
and 5, respectively, and x = 2. So
MATH 1451, QUIZ 1 (solution), 02 SEP., 2010
(1) A meter on a water pipe reads ow ratesin gallons per hourof 100 at 6am
and of 280 at 9am. Assuming the ow rate to be increasing steadily (i.e.,
linearly
MATH 1451, EXAM 1 (solution), 24 SEPTEMBER, 2010
(Each of the following ve problems is worth 12 points, 6 points for each part. Be sure to
show all your work.)
1
1
(1) (a) Find the unique antiderivati
MATH 1451, FINAL EXAM, 13 DECEMBER, 2010
(Each part of the following seven problems is worth 6 points. Youre much more likely to get partial credit
if you show your work. And, when in doubt, DRAW A PI
MATH 1451, QUIZ 7 SOLUTIONS, 14 OCT., 2010
(1) The area between the x-axis and the curve y = 4 x2 is rotated about the
y-axis. Find the volume of the generated solid.
We use horizontal disk wafers bec
MATH 1451, EXAM 2 SOLUTIONS, 15 OCTOBER, 2010
(1) (a) Approximate =
4
1
0
dx
using TRAP(2).
1 + x2
TRAP(2) is the average of LEFT(2) and RIGHT(2). The rst is
1
1
1
1
1
+ 1+( 1 )2 2 = 18 ; the second i
MATH 1451, QUIZ 3 (solutions), 16 SEP., 2010
(1) Compute the derivative:
d
dx
x
ln t dt.
2
Set f (t) = ln t, with antiderivative F (t), and g(x) =
x
We want g (x). By the FTC, g(x) = F (t)
2
x
2
f (t)
MATH 1451, EXAM 3a (solution), 14 NOVEMBER, 2011
(Each of the following ve problems is worth 12 points, 6 points for each part. When in
doubt, draw a picture. BE SURE TO SHOW ALL YOUR WORK.)
(1) Be su
MATH 1451, QUIZ 11 (solution), 18 NOV., 2010
1 2 1 4
(1)n 2n
(1) Given the Taylor series for cos x, c = 0, is 1 x + x +
x +. . . ,
2!
4!
(2n)!
nd the corresponding Taylor series for f (x) = x3 cos(x2
MATH 1451, EXAM 2ac, 14,17 OCTOBER, 2011
(Each of the following ve problems is worth 12 points, 6 points for each part. Be sure to
show all your work. And, when in doubt, DRAW A PICTURE.)
2
(1) (a) Ex
MATH 1451, EXAM 1a (solution), 22 SEPTEMBER, 2011
(Each of the following ve problems is worth 12 points, 6 points for each part. Be sure to
show all your work.)
(1) (a) Find the unique solution to the
MATH 1451, EXAM 1 SOLUTIONS, 25 SEPTEMBER, 2009
(1) Integrate by parts:
(a)
x cos x dx
u = x, dv = cos x dx du = dx, v = sin x. Using the parts
formula
u dv = uv
v du, we obtain x sin x
sin x dx =
x