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Tan - Appl Calc for MLS, Canadian Version 1/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score : 1 / 23

Due : Monday, November 22, 2010 19:00 EST

About this Assignment

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Question
Points
1 2 3 4 5 6 7 8
0/6 0/4 1/2 0/4 0/2 0/2 0/2 0/1
Total
1/23 (4.3%)

Description

Here are some textbook questions from Applied Calculus for the Managerial, Life and Social Sciences, Canadian Version 1/e by S.T. Tan, Petra Menz, Dan Ashlock published by Nelson Education, Ltd.. Click here for a list of all of the questions coded in WebAssign.


Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.



1. –/6 points Notes Question: TMAApCalc1 7.1.018.
Question part
Points
Submissions
1 2 3 4 5 6
0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50
Total
0/6
 
Find the intervals where the function is increasing and the interval where it is decreasing. (If you need to enter - or , type -INFINITY or INFINITY. If there is no interval where the function is increasing/decreasing, enter NONE in those blanks.)
f(x) = 5/3 x^3 - 5 x + 1
(
Answer is not case sensitive.
,
Enter an exact number.
) (
Enter an exact number.
,
Answer is not case sensitive.
) (increasing)
(
Enter an exact number.
,
Enter an exact number.
) (decreasing)

2. –/4 points Notes Question: TMAApCalc1 7.2.020.
Question part
Points
Submissions
1 2 3 4
0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50
Total
0/4
 
Determine where the function is concave upward and where it is concave downward. (If you need to enter - or , type -INFINITY or INFINITY. If there is no interval where the function is concave up or down, enter NONE in those blanks.)
g(x) = -x^2 + 7 x + 4
(
Answer is not case sensitive.
,
Answer is not case sensitive.
) (concave up)
(
Answer is not case sensitive.
,
Answer is not case sensitive.
) (concave down)

3. 1/2 points All Submissions Notes Question: TMAApCalc1 7.3.008.
Question part
Points
Submissions
1 2
1 0/1
1/50 2/50
Total
1/2
 
Find the horizontal and vertical asymptotes of the following graph. Fill in the blanks. (Enter NONE in any unneeded boxes.)
y =
Enter an exact number.
Your answer is correct. (horizontal asymptote)
x =
Enter an exact number.
Your answer is incorrect. (vertical asymptote)


4. –/4 points Notes Question: TMAApCalc1 7.3.018.
Question part
Points
Submissions
1 2 3 4
0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50
Total
0/4
 
Find the horizontal and vertical asymptotes of the graph of the following function. Fill in the blanks. (Enter the values in numerically increasing order. Enter NONE in any unneeded boxes.)
g(x) = 4 x^3 + x^2 + 8
horizontal asymptote: y =
Answer is not case sensitive.
 (smaller value)
y =
Answer is not case sensitive.
 (larger value)
vertical asymptote: x =
Answer is not case sensitive.
 (smaller value)
x =
Answer is not case sensitive.
 (larger value)


5. –/2 points Notes Question: TMAApCalc1 7.4.012.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
Find the absolute maximum value and the absolute minimum value, if any, of the following function. (If an absolute maximum/minimum does not exist, enter NONE in that blank.)
f(x) = 10 x^(2/3)
Enter an exact number.
 (absolute minimum)
Answer is not case sensitive.
 (absolute maximum)

6. –/2 points Notes Question: TMAApCalc1 7.4.067.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function.
P(x) = -12 x^2 + 1968 x - 44000

(a) To maximize the monthly rental profit, how many units should be rented out?
Enter an exact number.
 units

(b) What is the maximum monthly profit realizable? (Give your answer correct to the nearest dollar.)
$
Enter a number.


7. –/2 points Notes Question: TMAApCalc1 7.5.023.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
Phillip, the proprietor of a vineyard, estimates that the first 9100 bottles of wine produced this season will fetch a profit of $5 per bottle. However, the profit from each bottle beyond 9100 drops by $0.0005 for each additional bottle sold.
(a) Assuming at least 9100 bottles of wine are produced and sold, what is the maximum profit? (Give your answer correct to the nearest cent.)
$
Enter a number.

(b) What would be the profit/bottle in this case? (Give your answer correct to the nearest cent.)
$
Enter a number.


8. –/1 points Notes Question: TMAApCalc1 7.5.028.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
During daylight hours, some birds fly more slowly over water than over land because some of their energy is expended in overcoming the downdrafts of air over open bodies of water. Suppose a bird that flies at a constant speed of 6 mph over water and 9 mph over land starts its journey at the point E on an island and ends at its nest N on the shore of the mainland, as shown in the figure below. Find the location of the point P that allows the bird to complete its journey in the minimum time (solve for x).
x =
Enter a number.
 mi

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