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Tan - Appl Math for Man, Life, Soc Sci 7/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 5 / 23

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 2/7 –/2 0/1 1/1 –/3 –/1 –/3 –/3
Total
5/23 (21.7%)

  • Instructions

    A traditional book with a modern feel, market-leading Applied Mathematics for the Managerial, Life, and Social Sciences, 7th edition by Soo T. Tan, published by Cengage Learning, teaches by application and uses real-world examples to motivate students. The WebAssign enhancement to this textbook engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook.

    Questions 1, 5 and 10 have a Master It Tutorial.

    Questions 7 and 10 have Watch Its.

    Question 5 uses the WebAssign graphing tool for graphing solutions to inequalities.

    Question 6 uses the WebAssign NumberLine tool to graph an interval.

    Question 7 demonstrates interval grading, which can grade any canonically equivalent interval and enforce proper notation.

    Question 8 grades the integral and enforces correct form and notation while also allowing all mathematically correct answers.

    Question 9 grades equations in slope-intercept form and enforces this form be used.

    Question 10 uses the matrix tool, which allows student to define the size of the resulting matrix.

    View the complete list of WebAssign questions available for this textbook. 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.

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1. 1/1 points  |  Previous Answers TanApMath7 3.2.018.MI. My Notes
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1/1
 
Write the expression as the logarithm of a single quantity.
1
2
 ln x + 4 ln y − 5 ln z
ln((x0.5y4z5​))
Correct: Your answer is correct.

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2. 1/1 points  |  Previous Answers TanApMath7 3.2.048. My Notes
Question Part
Points
Submissions Used
1
1/1
1/50
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1/1
 
Sketch the graphs of the equations on the same coordinate axes.
$ y=e^{{\color{red}3} x} $ and $ y=\ln \left({\color{red}3} x \right) $
Maple Generated Plot Maple Generated Plot
Maple Generated Plot
Correct: Your answer is correct. 		Maple Generated Plot
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3. 2/7 points  |  Previous Answers TanApMath7 3.3.001. My Notes
Question Part
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1 2 3 4 5 6 7
1/1 1/1 –/1 –/1 –/1 –/1 –/1
1/50 1/50 0/50 0/50 0/50 0/50 0/50
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2/7
 
Given that a quantity Q(t) is described by the exponential growth function
Q(t) = 301e0.02t
where t is measured in minutes, answer the following questions.
(a) What is the growth constant k?
k = Correct: Your answer is correct.

(b) What quantity is present initially?
Correct: Your answer is correct. units

(c) Complete the following table of values. (Round your answers to the nearest whole number, except for
t = 1000.
 For this answer, round your value to two decimal places.)
t Q
0
10
20
100
1000 ⨯ 1011
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4. –/2 points TanApMath7 3.3.027. My Notes
Question Part
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1 2
–/1 –/1
0/50 0/50
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–/2
 
A radioactive substance decays according to the formula
Q(t) = Q0e−kt
where Q(t) denotes the amount of the substance present at time t (measured in years), Q0 denotes the amount of the substance present initially, and k (a positive constant) is the decay constant.
(a) Find the half-life of the substance in terms of k.


(b) Suppose a radioactive substance decays according to the formula
Q(t) = 24e−0.0001411t
How long will it take for the substance to decay to half the original amount? (Round your answer to the nearest whole number.)
yr
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5. 0/1 points  |  Previous Answers TanApMath7 6.1.010. My Notes
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0/1
 
Find the graphical solution of the inequality.
7x − 3y ≥ 21
No Solution
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6. 1/1 points  |  Previous Answers TanApMath7 1.9.006. My Notes
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1
1/1
4/50
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1/1
 
Show the interval on a number line.
(−4, 8]
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

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7. –/3 points TanApMath7 10.2.006. My Notes
Question Part
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1 2 3
–/1 –/1 –/1
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–/3
 
You are given the graph of a function f.
WebAssign Plot
Determine the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or ∅.)
concave upward    
concave downward    


Find all inflection points of f, if any. (If an answer does not exist, enter DNE.)
(x, y) = 

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8. –/1 points TanApMath7 11.2.002. My Notes
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–/1
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–/1
 
Find the indefinite integral. (Use C for the constant of integration.)
 
8x(4x2 + 1)2 dx
 
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9. –/3 points TanApMath7 2.2.026. My Notes
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1 2 3
–/1 –/1 –/1
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–/3
 
Write the equation in the slope-intercept form.
7x − 2y + 4 = 0


Find the slope of the corresponding line.


Find the y-intercept of the corresponding line.
(x, y) = 
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10. –/3 points TanApMath7 5.5.028. My Notes
Question Part
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1 2 3
–/1 –/1 –/1
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–/3
 
Let
A = 
030
101
020
    B = 
583
9−3−5
236
    C = 
249
9−3−5
570
.
(a) Compute AB.
AB =
 


(b) Compute AC.
AC =
 


(c) Using the results of parts (a) and (b), we can conclude that AB = AC that B = C.

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