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Waner & Costenoble-Applied Calculus 4/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 10/31

Due: Monday, December 13, 2010 21:00 EST

About this Assignment

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Question
Points
1 2 3 4 5 6 7 8
7/12 0/1 3 0/7 0/2 0/1 0/2 0/3
Total
10/31

Description

Create your course assignments by selecting questions from our bank of 1500 end-of-section exercises, as well as enhanced interactive examples with videos.

While doing their homework, students can link to the relevant interactive examples from the book and work through them again and again for additional practice before answering the question.

Students can view and hear additional instruction through the 2-5 minute Watch It links. Students will also find helpful links to online excerpts from their textbook, online-live help, tutorials, and videos.

Read It - relevant textbook pages

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In this assignment we present several textbook question types found in Chapter 5 on applications of the derivative in Applied Calculus 4/e by Stefan Waner and Steven Costenoble published by Brooks/Cole.


Instructions

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



1. 7/12 points All Submissions Notes Question: WaneAC4 5.1.015.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12
1 1 1 1 0/1 0/1 1 0/1 0/1 1 1 0/1
1/50 1/50 2/50 1/50 0/50 1/50 1/50 0/50 1/50 1/50 1/50 0/50
Total
7/12
 
Find the exact location of all the relative and absolute extrema of the function. (If there are extra answer boxes, enter NONE in the last boxes.)
g(x) = 28 x**3-336 x text( with domain ) [-4, 4]
(
Enter a mathematical expression.
Your answer is correct.,
Enter a mathematical expression.
Your answer is correct.) Your answer is correct. (smallest x-value)

(
Enter a mathematical expression.
Your answer is correct.,
Enter a mathematical expression.
) Your answer is incorrect.

(
Enter a mathematical expression.
Your answer is correct.,
Enter a mathematical expression.
) Your answer is incorrect.

(
Enter a mathematical expression.
Your answer is correct.,
Enter a mathematical expression.
Your answer is correct.) (largest x-value)

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2. –/1 points Notes Question: WaneAC4 5.3.009.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Calculate d2y/dx2.
y=7/x-7 ln x

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3. 3/3 points All Submissions Notes Question: WaneAC4 5.3.070.
Question part
Points
Submissions
1 2 3
1 1 1
2/50 1/50 1/50
Total
3/3
 
The following graph shows the yearly profits of Gigantic Conglomerate, Inc. (GCI) from 1955 to 1970.
a = 1955
(a) When were the profits rising most rapidly?
Enter a number.
Your answer is correct. year

(b) When were the profits falling most rapidly?
Enter a number.
Your answer is correct. year

(c) When could GCI's board of directors legitimately tell stockholders that they had "turned the company around"?
Enter a number.
Your answer is correct. year

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4. –/7 points Notes Question: WaneAC4 5.3.072.
Question part
Points
Submissions
1 2 3 4 5 6 7
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
0/7
 
The number of research articles in the prominent journal that were written by researchers in Europe can be modeled by the given function, where t is time in years. The graphs of P, P', and P'' are shown below.
P(t)=7.0/(1+5.4 (1.2)**(-t /2))
a = 8
(a) Determine, to the nearest whole number, the values of t for which the graph of P is concave up, where it is concave down, and locate any points of inflection.

Concave up
Enter a number.
 < t <
Enter a number.


Concave down
Enter a number.
 < t <
Enter a number.


Point of inflection
t =
Enter a number.


(b) What does the point of inflection tell you about science articles?
From the graph of P' we see that P' has a maximum at around t =
Enter a number.
, meaning that the number of articles written by researchers in Europe was increasing most rapidly at around t =
Enter a number.
.

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5. –/2 points Notes Question: WaneAC4 5.3.080.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
The spot price of crude oil can be approximated by the function P(t), where t is time in years. The country's crude oil production over the same period can be approximated by the function Q(t). Graph the revenue function R(t) = P(t)Q(t). (Do this on paper. Your instructor may ask you to turn in this graph.)
P(t)=6 t+ 30 text( dollar per barrel) \(0<=t<=5\)
Q(t)=0.088 t**2 - 0.26 t + 8.8 text( million barrels per day) \(0<=t<=5\)
Is the graph of R(t) concave up or concave down?
    



The concavity of R(t) tells you that:
    


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6. –/1 points Notes Question: WaneAC4 5.4.013.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
The base of a 5 ft ladder is being pulled away from a wall at a rate of 7 feet per second. How fast is the top of the ladder sliding down the wall at the instant when the base of the ladder is 3 feet from the wall?
Enter an exact number.
 ft/sec

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7. –/2 points Notes Question: WaneAC4 5.4.015.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
The average cost function for the weekly manufacture of portable CD players is given by the function below, where x is the number of CD players manufactured that week.
C^^\_ \(x\)=100 text(,000)x**(-1)+20+0.0005 x text( dollars per player)
Weekly production is currently 4000 players and is increasing at a rate of 400 players per week. What is happening to the average cost? (Give the answer to the nearest cent.) The average cost is at a rate of $
Enter a number.
 per player per week.

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8. –/3 points Notes Question: WaneAC4 5.5.008.
Question part
Points
Submissions
1 2 3
0/1 0/1 0/1
0/50 0/50 0/50
Total
0/3
 
A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted Rooster," is given by the following equation, where p is the price (in dollars) per quarter-chicken serving and q is the number of quarter-chicken servings that can be sold per hour at this price.
p = 37/q**(1.5)
Express q as a function of p.
q =

Find the price elasticity of demand when the price is set at $4.00 per serving.
Enter a mathematical expression.


Interpret the result.
They should the price per serving in order to increase revenue.

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