141H (M/W) Schedule Spring 2015 (Tentative)
Notes:
1. To access the videos, google rdavisedcc, select playlist on the YouTube channel, and click 141
edcc.
2. Sometimes the number of the video does NOT correspond to the book section number!
Week 1 Apr 6 -
Math 148
Test #1
Spring 2016
Form A
29.5 38.5
1.8 ; (b) The average rate of change in viewers of the season finale over two seasons
10 5
period of time. (c) Draw comparison line with slope -1. Matches up t=6 to t=8. (d) The slope from t=14 to
t=15 is pos
Practice for Test #3
Math
148
Note: This is for practice only. In no way do I state that the final will be these questions. Any
unauthorized use of this practice without expressed written permission from the instructor and the NFL is
strictly prohibited.
Math 148
Test #2
Practice
1. Find the designated derivative of the following functions:
6
(a) [4 pts] f ( x) = 4 x 8 5 x11
Find f ( x) .
x
48
f ( x) = 4 x ln(4) + 9 55 x10
x
0.5 x
2
(b) [4 pts] f ( x) = 124e 12 x
Find f ( x) .
f ( x) = 62e0.5 x 24 x f ( x
Math 148
Test #1A
Spring 2016
NAME: _
Ground Rules:
Calculator is permitted.
A 3 by 5 card is allowed, but no worked-out problems on it. The card is to be turned in with
the test.
Indicate how you got your answer to ensure full credit (ie. Show work, numb
1. There are presently 250 cases of Bangkok Flu, and the number is growing by 50 new
cases every month. Rewrite the statement using mathematical notation.
Solution:
n = 250
dn
=5 0
dt
1. The annual revenue of the tie-dye T-shirt operation is currently $8,000 , but is decreasing
by $400 each year. How fast are the annual sales changing? Rewrite the statement using
mathematical notation.
Solution:
R = 8,000
dR
=40 0
dt
Hercules Films is deciding on the price of the video releases of its film Son of Frankenstein. Its
marketing people estimates that at a price of $p , it can sell a total of q = 240,000 20,000p
copies. What price would bring the greatest revenue?
Solution:
Marginal Cost The marginal cost of producing the xth box of Zip disks is 10
and the fixed cost is $100,000. Find the cost function C(x).
Solution:
The marginal cost = C (x) = 10
+ x2
.
100,000
To find the cost function C(x), we need to inverse the derivat
Average Cost The average cost function for the weekly manufacture of portable CD player is
= 160,000 x1+ 40+0.0002 x dollars per player, where x is the number of CD
given by C
player manufactured that week. Weekly production is currently 5000 players and
The average price of a two-bedroom apartment in the uptown area of a prominent American
city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.13 e 0.10 t
million dollars, where t is the time in years (t = 0 is 1994). What was
Math 148
Test #1B
Spring 2016
NAME: _
Ground Rules:
Calculator is permitted.
A handwritten 3 by 5 card is allowed, but no worked-out problems on it. The card is to be
turned in with the test.
Indicate how you got your answer to ensure full credit (ie. Sho
Math 148
Test #1
Spring 2016
Form B
24.2 30.7
2.167 ; (b) The average rate of change in viewers of the season finale from season 3 to
96
any season. (c) Draw comparison line with slope -3. Matches up t=12 to t=14. (d) The slope from t=14 to t=15
is posit
Winter 2006
More Final Practice
Math 150
Note: No guarantees that this practice will be or be like the final.
1. The rate of change ($ per hour) in the value of two stocks are given by a (t ) = 0.10t 0.45 and
b(t ) = 0.50 0.20t . Suppose both stocks are v
Math
More Final Practice Solutions
150
1. To develop the formulas for the value of the stocks, let's integrate and use the initial value to
find c. Since the formulas for the rates are polynomials, the formulas for the value of the
stocks will also be pol
Math 148 Mixed Derivative Practice
Find the derivative of each function. Be careful to use the correct notation for the derivative.
DO NOT SIMPLIFY.
1.
15. w = (5 3 z )(5 + 3 z )
g ( x ) = 5x 4
2. s (t ) =
6
3t 3 4 t
t2
y = t 2 e 5t
6.
f ( x ) = ln x 2 +
Math 148 Integration Skills Practice
Fall 2010
Evaluate the integrals. Be careful to use correct notation and show work.
1.
(4 x
2.
)
15.
8e
4
3
2
x x x dx
16.
6 x(5 x )
3.
e
17.
e 2 t
1 + 4e 2t dt
4.
4
18.
t
5.
3
(a 4) da
19.
t (t 1)dt
6.
3
x
Math 148 Integration Skills Practice - Answers
Fall 2010
1.
4 x 3 3x 2
+ 5x + C
3
2
14.
(x 4)7
7
6
2( x 4 )
+
+C
3
4
x
+ x 1 + C
4
2.
4 ln x
3.
1 2x
e +C
2
15.
4e 2 t 3 + C
16.
3 ln 5 x 2 + C
17.
1
ln 1 + 4e 2t + C
8
18.
2(t 1)
5
19.
t3 t2
+C
3 2
20.
1
Math 148 Integration Skills Practice - Hints
Fall 2010
Hints: Use substitution on problems 3, 5, 7, 9 13, 15 17, 20, 22, 24, 25, 26, 27
Use substitution with a twist on problems 14, 18 (similar to Example 6 in 13.2)
Use the simple anti-derivative formulas
Solutions
dw ( 3)(5 + 3 z ) (5 3 z )(3)
=
dz
(5 + 3 z )2
1.
g ' ( x ) = 20 x 3
15.
2.
1
s ' (t ) = 12t 3 9t 2 4 t 1 / 2
2
Note: it is easiest to rewrite first as w =
3.
4.
5.
P ' (t ) = 100 e 0.05 t (0 .05 ) or
P ' (t ) = 5e 0.05 t
dy
= 2te 5t + t 2 5e 5t
Practice for Final
Math
148
Note: This is for practice only. In no way do I state that the final will be these questions. Any
unauthorized use of this practice without expressed written permission from the instructor and the NFL is
strictly prohibited.
1.
Math 148
Topics for Test #2
Winter 2015
Sections 11.1 11.5 & 12.1 12.5
3 by 5 card allowed. Only restriction is that it must be handwritten
without the use of technologyno copy reduction.
1. Derivatives
o
Power Rule (Section 11.1)
Product & Quotient rules
Math 150
Practice Test #2
Fall 2003
(Note: This is the test that was developed during a class from a previous term. The test that
you will take will be similar. Do not expect the test to be exactly like this. Use this test as
practice.)
1. Find the deriva
Math 150
1. (a) f ( x) =
Solutions to Practice Test
Fall 2003
1
1
d
1
i35 = ; (b) f ( x) = (2ln x )(ln 2)i (ln x) = (ln 2) 2ln x i ;
x
35 x
dx
x
(c) f ( x) = (6 x ) e x
2
+5 x
(
+ (3 x 2 ) e x
2
+5 x
(2 x + 5) = 3 xe x +5 x (2 + 2 x 2 + 5 x) ;
2
6x
(d) f
Related Rates Extra Practice Problems
Fall 2010
1. The amount of carbon dioxide (in pounds per 15,000 miles) released by a typical SUV
depends on its fuel efficiency according to the formula
W = 32 x 2 2080x + 44,000
(12 x 33)
where x is the fuel efficien
Math 148
Test #2
1. Find the designated derivative of the following functions:
6
(a) [4 pts] f ( x) 4 x
Find f ( x) .
5 x11
x8
(b) [4 pts] f ( x)
124e0.5 x 12 x 2
Find f ( x) .
(c) [4 pts] f x ln x14 2 x 9 x 4 4 x . Find f ( x) .
(d) [4 pts] f ( x)
21x 2
Dorothy Wagner is currently selling 70 T-shirts per day, but sales are dropping at a rate of 8 Tshirts per day. She is currently charging $7 per T-shirt, but to compensate for dwindling sales,
she is increasing the unit price by $1 per day. How fast is he