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Waner & Costenoble - Applied Calculus 8/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 27 / 50

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
1/1 6/6 13/14 1/1 2/2 1/1 3/13 0/6 0/6
Total
27/50 (54.0%)

  • Instructions

    Finite Math and Applied Calculus, 8th 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.

    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.

    WebAssign provides a wide range of exercises that enable you to:
    • Address student readiness (#1-2: Precalculus Review Questions)
    • Let students self-remediate with question-level help (#3-6: Read Its, Watch Its, Master It Tutorials)
    • Reveal student thinking (#7-9: Standalone Master It Exercises, Expanded Problems)

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

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 WaneAC8 0.3.004. My Notes
Question Part
Points
Submissions Used
1
1/1
3/100
Total
1/1
 
  • This exercise will address student readiness.
  • Precalculus Review Questions target prerequisite algebra concepts that students need to know to master concepts taught in this course.

Convert the expression to positive exponent form. (Do not simplify the expression.)
 
5
6
y−4/5
56y(45​)​
Correct: Your answer is correct. webMathematica generated answer key You're right!
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2. 6/6 points  |  Previous Answers WaneAC8 0.8.002. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
1/1 1/1 1/1 1/1 1/1 1/1
1/100 1/100 1/100 1/100 2/100 1/100
Total
6/6
 
  • This exercise will address student readiness.
  • Precalculus Review Questions target prerequisite algebra concepts that students need to know to master concepts taught in this course.

Referring to the following figure, determine the coordinates of the indicated points as accurately as you can.
The x y-coordinate plane is given. There are 6 points plotted. Their labels and approximate locations are as follows.
  • P is 1 unit right of and 2 units below the origin.
  • Q is 2 units right of and 1 unit above the origin.
  • R is 3 units left of the origin.
  • S is 1 unit left of and 4 units below the origin.
  • T is 0.5 units left of and 4 units above the origin.
  • U is 3 units right of and 3.5 units below the origin.
point P (x, y)
= 
1,−2
Correct: Your answer is correct. webMathematica generated answer key
point Q (x, y)
= 
2,1
Correct: Your answer is correct. webMathematica generated answer key
point R (x, y)
= 
−3,0
Correct: Your answer is correct. webMathematica generated answer key
point S (x, y)
= 
−1,−4
Correct: Your answer is correct. webMathematica generated answer key
point T (x, y)
= 
−0.5,4
Correct: Your answer is correct. webMathematica generated answer key
point U (x, y)
= 
3,−3.5
Correct: Your answer is correct. webMathematica generated answer key
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3. 13/14 points  |  Previous Answers WaneAC8 1.1.058. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13 14
0/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1
1/100 2/100 2/100 2/100 2/100 2/100 2/100 2/100 2/100 2/100 2/100 2/100 2/100 2/100
Total
13/14
 
  • This exercise will let students self-remediate with question-level help.
  • Read It links are available as a learning tool under each question so students can quickly jump to the corresponding section of the eTextbook.

The percentage
p(t)
 of children who can speak in sentences of five or more words by the age of t months can be approximated by the equation†
p(t) = 100
1 − 
5.29 ✕ 1017
t12
    (t ≥ 30).
(a)
Give a technology formula for p.
p(t) = Incorrect: Your answer is incorrect. webMathematica generated answer key
(b)
Graph p for
30 ≤ t ≤ 45 and 0 ≤ p ≤ 100.
(Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)
(c)
Create a table of values of p for t = 30, 31, …, 40 (rounding answers to one decimal place).
t 30 31 32 33 34
p(t) Correct: Your answer is correct. seenKey

0.5

 Fantastic work! 		Correct: Your answer is correct. seenKey

32.8

 That's it! 		Correct: Your answer is correct. seenKey

54.1

 Fantastic work! 		Correct: Your answer is correct. seenKey

68.3

 Good work. 		Correct: Your answer is correct. seenKey

77.8

 Amazing job!
t 35 36 37 38 39 40
p(t) Correct: Your answer is correct. seenKey

84.3

 Perfect! 		Correct: Your answer is correct. seenKey

88.8

 Good work. 		Correct: Your answer is correct. seenKey

92.0

 That's right! 		Correct: Your answer is correct. seenKey

94.2

 Well done. 		Correct: Your answer is correct. seenKey

95.7

 You got it! 		Correct: Your answer is correct. seenKey

96.8

 Awesome!
(d)
What percentage of children can speak in sentences of five or more words by the age of 38 months? (Round your answer to one decimal place.)
Correct: Your answer is correct. seenKey

94.2

 %
(e)
By what age (in months) are 75% or more children speaking in sentences of five or more words? (Round your answer up to the next month.)
Correct: Your answer is correct. seenKey

34

 months
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4. 1/1 points  |  Previous Answers WaneAC8 2.3.002. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
  • This exercise will let students self-remediate with question-level help.
  • Students get just-in-time learning support with Watch It videos that contain narrated and closed-captioned videos walking students through the proper steps to solve a similar problem.

Obtain an exponential function in the form f(t) = Aert.
f(t) is the value after t years of a $7,000 investment earning 6.7% interest compounded continuously.
f(t) =
7000e0.067t
Correct: Your answer is correct. webMathematica generated answer key Great!

Need Help? Watch It

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5. 2/2 points  |  Previous Answers WaneAC8 3.4.005. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
2/100 2/100
Total
2/2
 
  • This exercise will let students self-remediate with question-level help.
  • Students get just-in-time learning support with Watch It videos that contain narrated and closed-captioned videos walking students through the proper steps to solve a similar problem.

Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of measurement. HINT [See Example 1.]
Interval: [2, 6]
Correct: Your answer is correct. seenKey

-125,000

 Correct: Your answer is correct. seenKey

dollars per month
t (months) 2 4 6
R(t) ($ millions) 20.6 24.5 20.1

Need Help? Watch It

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6. 1/1 points  |  Previous Answers WaneAC8 4.1.021.MI. My Notes
Question Part
Points
Submissions Used
1
1/1
3/100
Total
1/1
 
  • This exercise will let students self-remediate with question-level help.
  • Master It tutorials are an optional student-help tool available within select questions for just-in-time support. Students can use the tutorial to guide them through the problem-solving process step-by-step using different numbers.

Find the derivative of the function. HINT [See Examples 1 and 2.]
g(x) = x−2 − 9x−1 − 6
g'(x) =
−2x−3+9x2​
Correct: Your answer is correct. webMathematica generated answer key Great work.


Solution or Explanation
g'(x) = −2x−3 + 9x−2

Need Help? Master It

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7. 3/13 points  |  Previous Answers WaneAC8 5.3.036.MI.SA. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13
1/1 1/1 0/1 0/1 0/1 1/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
2/100 2/100 1/100 1/100 1/100 2/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100
Total
3/13
 
  • This exercise will reveal student thinking.
  • Master It tutorials—Standalone are embedded, step-by-step tutorials used to help students understand each step required to solve the problem, before inputting their final answer.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise
Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method.
g(x) = 3x3 − 36x + 2
Step 1
Recall that a critical point is any interior point x in the domain of f where
f '(x) = 0
 or
f '(x)
 is not defined.
To find the critical points of g(x), first find the first derivative
g'(x).
Since
g(x) = 3x3 − 36x + 2,
 then
g'(x) = 
9 Correct: Your answer is correct. seenKey

9
x2 − 36.
Step 2
Now that we know
g'(x) = 9x2 − 36,
 the critical points can be found.
Recall that a critical point is called a stationary point if
g'(x) = 0.
 Conversely, a critical point is called a singular point if
g'(x)
 is not defined. So, to find the stationary points, set
g'(x) = Correct: Your answer is correct. seenKey

0

 .
Now, solve for x.
9x2 − 36 = 0
 
0
Incorrect: Your answer is incorrect. webMathematica generated answer key
(x2 − 4)		 = 0
x2 −
0
Incorrect: Your answer is incorrect. webMathematica generated answer key 		 = 0
 
0
Incorrect: Your answer is incorrect. webMathematica generated answer key
(x + 2)		 = 0
Thus, we have stationary points at
x = −2
 and
x = Correct: Your answer is correct. seenKey

2

 .


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8. 0/6 points  |  Previous Answers WaneAC8 7.4.028.EP. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
0/1 0/1 0/1 0/1 0/1 0/1
1/100 1/100 1/100 1/100 1/100 1/100
Total
0/6
 
  • This exercise will reveal student thinking.
  • Expanded Problems enhance student understanding by going beyond a basic exercise and asking students to solve each step of the problem in addition to their final answer.

Consider the total value TV of the given income stream as well as its future value FV (at the end of the given interval) using the given interest rate.
R(t) = 70,000 + 2,000t,  0 ≤ t ≤ 5,  at 10%
Set up the definite integrals that will be used to find TV and FV.
TV =
Incorrect: Your answer is incorrect. seenKey

5
0
0
Incorrect: Your answer is incorrect. webMathematica generated answer key
 dt
 FV =
Incorrect: Your answer is incorrect. seenKey

5
0
2
Incorrect: Your answer is incorrect. webMathematica generated answer key
 dt
Find TV and FV (in dollars). (Round your answers to the nearest cent.)
TV = $ Incorrect: Your answer is incorrect. seenKey

375,000.00

 FV = $ Incorrect: Your answer is incorrect. seenKey

483,849.14
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9. 0/6 points  |  Previous Answers WaneAC8 9.1.051.EP. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
0/1 –/1 –/1 –/1 –/1 –/1
1/100 0/100 0/100 0/100 0/100 0/100
Total
0/6
 
  • This exercise will reveal student thinking.
  • Expanded Problems enhance student understanding by going beyond a basic exercise and asking students to solve each step of the problem in addition to their final answer.

Suppose a company's quarterly net income n(t) fluctuated from a low of $3.5 billion in Quarter 1 of 2007
(t = 0)
 to a high of $8 billion, and then back down to $3.5 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.
Find the following properties of the graph of n(t).
amplitude A =
4.5
Incorrect: Your answer is incorrect. webMathematica generated answer key vertical offset C =
period P =
angular frequency ω =
phase shift β =
Find n(t).
n(t) =
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