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Waner & Costenoble - Applied Calculus 7/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 4 / 31

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8 9
1/3 –/4 0/11 3/3 0/1 –/1 0/1 –/6 –/1
Total
4/31 (12.9%)

  • Instructions

    Applied Calculus, 7th Edition, by Stefan Waner and Steven Constenoble and published by Cengage Learning helps your students see the relevance of mathematics to their interests. A large number of the applications are based on real, referenced data from business, economics, and the life and social sciences.

    The WebAssign component for this title includes an eBook with reading links, video links, and a Personal Study Plan (PSP) for students. Instructors enjoy WebAssign Course Packs with ready-to-use assignments built by subject matter experts specifically for this textbook and can be easily customized to meet your teaching goals.

    Question 1 showcases the use of the calcPad, which allows students to enter and get credit for any answer mathematically equivalent to the answer key.

    Question 2 is another example of the ability to accept a "word answer" (in this case, INFINITY). The answer is not case-sensitive.

    Question 3 is a multi-part question that highlights many WebAssign features. Please take particular note of the ability to require the student to select the correct answer(s) in part (a) without being told how many correct answers exist. Additionally, the ability to have students answer the "Interpret" questions in a meaningful way that does not require the use of essay mode is featured here.

    Question 4 demonstrates the use of the calcPad to grade mathematical expressions.

    Question 5 highlights the use of calcPad for integration problems.

    Question 6 is another example using the calcPad. Here students must remember to use C for the constant of integration in the answer. If this constant is forgotten the system will provide a helpful hint to the student.

    Question 7 includes three-dimensional graphs.

    Question 8 showcases the ability to grade ordered pairs. The use of pulldown menus for multiple choice answers is also featured.

    Question 9 is yet another example of the calcPad. Here the required answer includes cosine and pi, but the calcPad makes entering this answer very simple and straight-forward for the student. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 1/3 points  |  Previous Answers WaneAC7 1.3.087. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 –/1 –/1
2/100 0/100 0/100
Total
1/3
 
The following table shows worldwide sales of cell phones by a certain company and their average wholesale prices in the first quarters of 2009 and 2010.
Quarter Q1 2009 Q1 2010
Wholesale Price ($) 93 89
Sales (millions) 111 119
(a) Use the data to obtain a linear demand function for the company's cell phones. (Let p be the price, and let q be the demand).
q(p) =
297−2p
Correct: Your answer is correct. webMathematica generated answer key

Use your demand equation to predict sales if the company lowered the price further to $75.
million phones

(b) Fill in the blank.
For every $1 increase in price, sales of cell phones decrease by million units.
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2. –/4 points WaneAC7 3.1.037. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100
Total
–/4
 
The graph of f is given. Use the graph to compute the quantities asked for, if a = 9. [See Examples 4-5.] (If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.)
(a)    
lim x→0 f(x)


(b)    
lim x→18 f(x)


(c)    
lim x→−∞ f(x)


(d)    
lim x→+∞ f(x)
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3. 0/11 points  |  Previous Answers WaneAC7 3.4.034. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11
0/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
1/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100
Total
0/11
 
The following table shows the number of research articles in a journal authored by researchers in Europe during the period 1993-2003 (t = 3 represents 1993).
t (year since 1990) 3 5 7 9 11 13
N(t)
(articles, thousands) 		3.8 4.4 4.9 4.9 6.0 5.6
(a) Find the interval(s) over which the average rate of change of N was the most positive. (Select all that apply.)
Incorrect: Your answer is incorrect.

What was that rate of change?
thousand articles per year

Interpret your answer.
During the period , the number of articles authored by researchers in Europe at an average rate of articles per year.

(b) The percentage change of N over the interval [a, b] is defined to be
Percentage change of
N = 
Change in N
First value
 × 100 = 
N(b) − N(a)
N(a)
 × 100.
Compute the percentage change of N over the interval [7, 13]. (Round your answer to the nearest whole number.)
%

Compute the average rate of change. (Round your answer to three decimal places.)
thousand articles per year

Interpret the answers. (Round your answers to the nearest whole number.)
Over the period 1997-2003, the number of articles authored by researchers in Europe at an average rate of about articles per year, representing a % over that period.
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4. 3/3 points  |  Previous Answers WaneAC7 3.5.049. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 1/1
1/100 2/100 2/100
Total
3/3
 
Consider the following function.
f(x) = 2x3; x = −1
(a) Use any method to estimate the slope of the tangent to the graph of the given function at the point with the given x-coordinate. (Round your answer to three decimal places.)
Correct: Your answer is correct. seenKey

6.000

(b) Find an equation of the tangent line in part (a). HINT [See Example 2(b).]
y =
6x+4
Correct: Your answer is correct. 6x+4

Sketch the curve together with the appropriate tangent line.

Correct: Your answer is correct.
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5. 0/1 points  |  Previous Answers WaneAC7 6.2.070. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Use the shortcut formulas to calculate the given integral.
|5x − 8| dx
52​x2−8x
Incorrect: Your answer is incorrect. webMathematica generated answer key + C
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6. –/1 points WaneAC7 7.6.002. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
Find the general solution of the differential equation. Solve for y as a function of x. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
dy
dx
 = 
1
x
 + 3
y(x) =
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7. 0/1 points  |  Previous Answers WaneAC7 8.1.048. My Notes
Question Part
Points
Submissions Used
1
0/1
3/100
Total
0/1
 
Match the equation with one of the graphs below. (If necessary, use technology to render the surfaces.) HINT [See Examples 5, 6, and 7.]
f(x, y) = 3x − 2y + 1

Incorrect: Your answer is incorrect.
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8. –/6 points WaneAC7 8.3.021. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
–/1 –/1 –/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100 0/100 0/100
Total
–/6
 
Locate and classify all the critical points of the function. (HINT See Example 2. Order your answers by their ordered pairs, from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)
h(x, y) = x2y − 2x2 − 4y2
(x, y) = 
    
(x, y) = 
    
(x, y) = 
    
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9. –/1 points WaneAC7 9.1.051. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
Suppose a company's quarterly net income n(t) fluctuated from a low of $4.5 billion in Quarter 1 of 2007
(t = 0)
 to a high of $7 billion, and then back down to $4.5 billion in Quarter 1 of 2008
(t = 4).
 Use a cosine function to model the company's quarterly net income n(t), where t is time in quarters. HINT [See Example 4.]
n(t) =
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