Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section10.5 is due : 11/19/2012 at 11:00pm MST.
1. (1 pt) Construct the first three Fourier approximations to
the square wave function
1
f (x) = 1
1
x < /2
/2 x < /2
/2 x <
Correct Answ
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Sections11.5-11.6 is due : 12/07/2012 at 11:00pm MST.
1. (1 pt) Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in
the body d
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Sections7.7-7.8 is due : 09/21/2012 at 11:00pm MDT.
4. (1 pt) Calculate the integral, if it converges. If it diverges,
enter
diverges for your answer.
R 1
1 x2 +25 dx =
SOLUTION
We want t
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section10.4 is due : 11/16/2012 at 11:00pm MST.
(a) 1 x is the first degree approximation of f (x) = ex .
P1 (x) = 1 x is an overestimate for no values of x and an underestimate for (1, 0
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Sections9.1-9.2 is due : 10/17/2012 at 11:00pm MDT.
1. (1 pt) Find a formula for sn , n 1 for the sequence -5, 7,
-9, 11, -13.
sn =
SOLUTION
Note that if we ignore the alternating negativ
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section11.4 is due : 12/05/2012 at 11:00pm MST.
3. (1 pt) Find the solution to the differential equation
1. (1 pt) Find the solution to the differential equation
dy
= 0.5(y 100)
dt
dy y
+
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section10.3 is due : 11/09/2012 at 11:00pm MST.
4. (1 pt) Find the first four nonzero
terms of the Taylor series
about 0 for the function f (x) = 1 + x sin(7x). Note that you
may want to
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section11.1 is due : 11/20/2012 at 11:00pm MST.
2. (1 pt) Let A and k be positive constants.
Which of the given functions is a solution to
1. (1 pt) Match the graphs below with the follow
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Sections7 .3 7.4isdue : 09/12/2012at11 : 00pmMDT.
1. (1 pt) Antidifferentiate the following function using the
table of integrals. You may need to transform the integrand
first.
Z
e4t cos
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section10.2 is due : 11/07/2012 at 11:00pm MST.
SOLUTION
To find the series by taking derivatives, we find the first few
derivatives of f (x) = ln(1 + 4x):
f (x) = ln(1 + 4x),
4
,
f 0 (x)
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section11.2 is due : 11/28/2012 at 11:00pm MST.
On a print out of this slope field, sketch the solutions that
pass through the points
(i) (0,0);
(ii) (-3,1); and
(iii) (-1,0).
From your s
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section11.3 is due : 11/30/2012 at 11:00pm MST.
D. Check that y = 0.5e1x is a solution to y0 = y with y(0) =
0.5.
SOLUTION
A. A rough sketch of the slope field and solution are shown
in t
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Sections8.7-8.8 is due : 10/10/2012 at 11:00pm MDT.
(b) What is the mean time for students to complete the exam?
mean time =
(include units)
(c) Compute the median of this distribution.
m
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment FinalReview is due : 12/10/2012 at 11:00am MST.
1. (1 pt) Calculate each of the following approximations for
R8 2
0 x 5 dx.
LEFT(2) =
RIGHT(2) =
TRAP(2) =
MID(2) =
2. (1 pt) Find MID(2) a
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment IntegrationPractice is due : 10/01/2012 at 11:00pm MDT.
0.0666667*x15+1.5*x8+36*x+C
1.
(1 pt) Find the integral
R 2
5t cos(t) dt =
SOLUTION
R
R
We use integration by parts ( u v0 dx = u
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section8.1 is due : 09/26/2012 at 11:00pm MDT.
1. (1 pt) Consider the area shown below. The height of the
triangle is 8 and the length of its base is 3. We have used the
notation Dh for h
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Chapters5 6R eviewisdue : 08/31/2012at11 : 00pmMDT.
and the following table:
1. (1 pt) A car comes to a stop six seconds after the driver
applies the brakes. While the brakes are on, the
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section7 .1isdue : 09/05/2012at11 : 00pmMDT.
1. (1 pt) Find the following integral. Note that you can
check
answer by differentiation.
Z your
3
4 5
t t 2 dt =
5. (1 pt) Find the following
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section8.3 is due : 10/03/2012 at 11:00pm MDT.
1. (1 pt) Convert the polar coordinates below to Cartesian
coordinates. Give exact answers.
A. (4, 2) = (
,
)
B. (1, 3/2) = (
,
)
SOLUTION
A
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section7.5 is due : 09/14/2012 at 11:00pm MDT.
Similarly, graph 2 shows the midpoint rule and gives an under estimate.
The graphs showing the numerical estimates for graphs 3 and
4 are sh
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section8.2 is due : 09/28/2012 at 11:00pm MDT.
4. (1 pt) On paper, sketch the solid obtained by rotating the
region bounded by y = x7 , x = 1, and y = 1 around the axis
y = 1. Using the s
Tanawat Ketchuea
math132; Section: 24; Fall 2012
WeBWorK assignment Section7 .2isdue : 09/07/2012at11 : 00pmMDT.
q2/6*sin(6*q)+0.0555556*q*cos(6*q)-0.00925926*sin(6*q)+C
1.
(1 pt) Find the integral
R 2 t
7t e dt =
SOLUTION
R
R
We use integration by parts