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LaTorre et al - Calculus Concepts 5/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 1 / 19

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
1/1 –/5 –/4 0/2 –/2 –/5
Total
1/19 (5.3%)

  • Instructions

    Here are some textbook questions from Calculus Concepts 5/e by Donald R. LaTorre, John W. Kenelly, Iris B. Reed, Laurel R. Carpenter, Cynthia R. Harris, Sherry Biggers published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign. 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 LCalcCon5 3.1.015. My Notes
Question Part
Points
Submissions Used
1
1/1
1/50
Total
1/1
 
Write the formula for the derivative of the function.
f(x) = 11x4 + 12x3 + 6
f '(x) =
44x3+36x2
Correct: Your answer is correct.
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2. –/5 points LCalcCon5 3.1.036. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
–/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50
Total
–/5
 
The table gives the cumulative sales of iPods since their introduction.
Cumulative iPod Sales
Year Sales
(million iPods)
2003 2.52
2004 4.836
2005 28.133
2006 69.342
2007 118.672
2008 175.6
(a) Find a quadratic model for the data aligned so that the year 2003 is x = 0. (Round all numerical values to three decimal places.)
s(x) =
2.52
million iPods

(b) Write the derivative for the sales model. (Round all numerical values to three decimal places.)
s'(x) =
million iPods per year

(c) Calculate the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.)
million iPods per year

Interpret the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.)
In 2005, cumulative iPod sales were by million per year.
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3. –/4 points LCalcCon5 3.2.023. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50
Total
–/4
 
The weight of a laboratory mouse between 3 and 11 weeks of age can be modeled as
w(t) = 11.2 + 7.38 ln t
grams
where the age of the mouse is t + 2 weeks.
(a) What is the weight of a 12-week-old mouse? (Round your answer to three decimal places.)
grams

How rapidly is its weight changing? (Round your answer to three decimal places.)
grams per week

(b) What is the average rate of change in the weight of the mouse between ages 6 and 10 weeks? (Round your answer to three decimal places.)
grams per week

(c) Does the rate at which the mouse is growing increase or decrease as the mouse gets older? Explain.
    
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4. 0/2 points  |  Previous Answers LCalcCon5 3.3.009. My Notes
Question Part
Points
Submissions Used
1 2
0/1 0/1
1/50 2/50
Total
0/2
 
For the pair of functions, write the composite function and its derivative in terms of one input variable.
c(x) = 8x2 − 2; x(t) = 9 − 6t
c(x(t)) = 
[8x2−2][9−6t]
Incorrect: Your answer is incorrect.
dc
dt
 = 
[8x2−2][−6]
Incorrect: Your answer is incorrect.
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5. –/2 points LCalcCon5 3.4.003. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/50 0/50
Total
–/2
 
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form
f(x) = g(h(x)).
 Use non-identity functions for g(x) and h(x).)
f(x) = 4 ln(7x2 + 8)
{g(x), h(x)}
 		=
f '(x)
 		=
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6. –/5 points LCalcCon5 1.12.015. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
–/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50
Total
–/5
 
The graph depicts a sine function of the form
f(x) = a sin(bx + c) + d.
WebAssign Plot
(a) Estimate the amplitude, period, average value, and horizontal shift for the graph.
amplitude     
period     
average value     
horizontal shift     

(b) Write an equation for the function using the values you found in part (a). (Round all numerical values to three decimal places.)
f(x) =
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