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Waner & Costenoble-Finite Math & Applied Calc 7/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 3 / 22

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 10
1/1 1/1 1/4 –/1 0/5 –/4 –/3 –/1 –/1 –/1
Total
3/22 (13.6%)

  • Instructions

    Finite Math and Applied Calculus, 7th edition, by Stefan Waner and Steven Costenoble and published by Cengage Learning is full of relevant, diverse, and current real-world applications. A large number of the applications are based on real, referenced data from business, economics, the life sciences, and the social sciences. Thorough, clearly delineated spreadsheet and TI Graphing Calculator instruction appears throughout the book.

    The WebAssign component for this title includes a Youbook eBook, reading and video links, and a Personal Study Plan which helps your students gauge their mastery of the material and generate individualized study plans that include various online, interactive multimedia resources. Course Packs with ready-to-use assignments built by subject matter experts specifically for this textbook are designed to save you time, and can be easily customized to meet your teaching goals are also provided for this title.

    Question 1 features the use of the calcPad, which allows students to enter mathematically complex answers in a very user-friendly way. Here, the question is coded so that only a properly simplified answer will be graded as correct.

    Question 2 highlights Gauss-Jordan row reduction where the answer could be an ordered pair or a word answer (NO SOLUTION).

    Question 3 is a multi-part question that features the grading of a general solution that involves variables. In part (b) students encounter a multiple select problem where they must select all correct answers simultaneously without knowing how many correct answers exist. Multiple choice and a numerical answer that expects and exact numerical answer are also featured.

    Question 4 is a wonderful example of how systems of linear equations are graded for this title. Students can enter the equations in any order and will be graded as correct if they are mathematically equivalent to the system displayed in the answer key.

    Question 5 showcases solution regions and ordered pairs.

    Question 6 uses a unique fill-in-the-blank answer style that allows students to give a more complex answer in a way that can be automatically graded.

    Question 7 is an example of the unique way the set up of dual LP problems can be graded.

    Question 8 requires the student to find the derivative and enter their answer using the calcPad. Any mathematically equivalent answer will be accepted.

    Question 9 is an example of an integration problem where the constant of integration is given outside the answer box. It also features a handy link out to the shortcut formulas that the students can use instead.

    Question 10 is a slightly different type of integration problem that requires the student to give the constant of integration as part of the solution. If a student forgets to include the constant of integration in their answer they will be given a hint/warning after submitting. 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. 1/1 points  |  Previous Answers WaneFMAC7 0.2.058. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Simplify the expression, given that a and b are positive real numbers.
 
3
a3
b3
ab​
Correct: Your answer is correct. webMathematica generated answer key

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2. 1/1 points  |  Previous Answers WaneFMAC7 4.2.011. My Notes
Question Part
Points
Submissions Used
1
1/1
3/100
Total
1/1
 
Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-6.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where
y = y(x).)
x + y = 0
3x − y = 5
x − y = −1
(x, y) = 
NO SOLUTION
Correct: Your answer is correct. webMathematica generated answer key

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3. 1/4 points  |  Previous Answers WaneFMAC7 4.3.032. My Notes
Question Part
Points
Submissions Used
1 2 3 4
0/1 1/1 0/1 –/1
1/100 2/100 1/100 0/100
Total
1/4
 
The traffic through downtown East Podunk flows through the one-way system shown below.

Traffic counters find that 300 vehicles enter town from the west each hour, and 300 leave town toward the east each hour. Also, 100 cars drive down Canal Street each hour.
(a) Write down the general solution of the associated system of linear equations. (Assume x = traffic flow along April, y = traffic flow along Division, z = traffic flow along Broadway, and w = traffic flow along Embankment. If the system is dependent, express your answer in terms of w, where
x = x(w),
y = y(w),
 and
z = z(w).)

(x, y, z, w) = 
xw, yw, zw
Incorrect: Your answer is incorrect. webMathematica generated answer key

Is it possible to determine the number of vehicles on each street per hour?
     Correct: Your answer is correct.

(b) On which street could you put another traffic counter in order to determine the flow completely? (Select all that apply.)
Incorrect: Your answer is incorrect.

(c) What is the minimum traffic flow along April Street consistent with the information given? HINT [See Example 3.]
vehicles per hour

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4. –/1 points WaneFMAC7 5.2.048. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
Translate the given matrix equations into a system of linear equations. HINT [See Example 7.] (Enter your answers as a comma-separated list of equations.)
0161
1−900
x
y
z
w
=
−8
9
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5. 0/5 points  |  Previous Answers WaneFMAC7 6.1.023. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
0/1 –/1 –/1 –/1 –/1
1/100 0/100 0/100 0/100 0/100
Total
0/5
 
Sketch the region that corresponds to the given inequalities.
−9x + 4y ≤ 15
9x − 4y≤8
x≤4y
x≥0, y≥0

Say whether the region is bounded or unbounded.
    
Find the coordinates of all corner points (if any). (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)
(x, y)
= 
(x, y)
= 
(x, y)
= 

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6. –/4 points WaneFMAC7 6.2.019. 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
 
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)

Minimize c = 2x + 4y subject to
0.9x + 0.9y ≥ 9
3x + 6y ≥ 42
x ≥ 0, y ≥ 0.
Minimum value c = occurs at the endpoints
(x, y) = 
(smaller x-value) and
(x, y) = 
(larger x-value) and .
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7. –/3 points WaneFMAC7 6.5.002. My Notes
Question Part
Points
Submissions Used
1 2 3
–/1 –/1 –/1
0/100 0/100 0/100
Total
–/3
 
Write down (without solving) the dual LP problem.
Maximize p = x + 7y subject to
x + y  ≤ 8
− x + 3y  ≤ 2
x ≥ 0, y ≥ 0.

Minimize
c = 
subject to
 ≥ 1
 ≥ 7
    s ≥ 0, t ≥ 0.
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8. –/1 points WaneFMAC7 11.1.024. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
Find the derivative of the function. HINT [See Examples 1 and 2.]
g(x) = 
1
x2
 + 
1
x4
g'(x) =
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9. –/1 points WaneFMAC7 13.2.070. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
Use the shortcut formulas to calculate the given integral.
|3x − 4| dx
+ C
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10. –/1 points WaneFMAC7 14.1.003. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
Evaluate the integral using integration by parts where possible. HINT [See Examples 1-3.] (Use C for the constant of integration.)
(3x − 1)e−x dx
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