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Larson - Calculus: An Applied Approach 10/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 23 / 29

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
1/1 2/2 1/1 5/5 0/1 3/3 –/4 11/12
Total
23/29 (79.3%)

  • Instructions

    Calculus: An Applied Approach, 10th edition, by Ron Larson and published by Cengage Learning motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students' diverse interests. The WebAssign component to this textbook engages students with immediate feedback, rich tutorials, video instruction, a Personal Study Plan, and a complete eBook.

    Question 1 features a Master It tutorial that walks the student through a distance problem, encouraging them to work through each step by checking intermediate values. Also available is a link to a Watch It video example and a dynamic solution based on their unique randomization of the question.

    Question 2 contains a half-open interval that must be entered using the correct notation at the endpoint. The question includes a Watch It.

    Question 3 demonstrates implicit differentiation grading that accepts any form of the correct answer. For instance, using the given equation for y3 to rewrite the expression for dy/dx.

    Question 4 is a multi-part application of regression models and has the student reflect on whether the accuracy of each can be compared. Numerical tolerance is handled throughout to account for rounding values in part (a).

    Question 5 shows indefinite integral grading that enforces the proper use of C and absolute values, while still allowing for any equivalent form. A Watch It video explains the solution method.

    Question 6 features a randomized probability distribution, where the student calculates probabilities based on their unique data. The question includes a Watch It.

    Question 7 is a multi-part application of differential equations, and allows the general solution to be entered using any arbitrary constant.

    Question 8 is a precalculus review question that leads the student Step-by-Step through a root-finding problem, where synthetic division is filled in the same way it would be done on paper. Special grading ensures factoring is carried out, and the zeros may be listed in any order. The question includes a Watch It. 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.

    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 LarApCalc10 1.1.024.MI. My Notes
Question Part
Points
Submissions Used
1
1/1
3/100
Total
1/1
 
Find the value(s) of y such that the distance between the points is 6. (Enter your answers as a comma-separated list.)
(2, 1), (2, y)
y =

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2. 2/2 points  |  Previous Answers LarApCalc10 1.4.022. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/100 2/100
Total
2/2
 
Find the domain and range of the function. Use a graphing utility to verify your results. (Enter your answer using interval notation.)
f(x) = 
5x + 2,    x < 0
2 − x,    x ≥ 0
Domain    
Correct: Your answer is correct. webMathematica generated answer key
Range    
Correct: Your answer is correct. webMathematica generated answer key
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3. 1/1 points  |  Previous Answers LarApCalc10 2.7.004. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Find dy/dx.
y3 = 4x3 + 8x
dy
dx
 =
Correct: Your answer is correct. webMathematica generated answer key
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4. 5/5 points  |  Previous Answers LarApCalc10 4.6.502.XP. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
1/1 1/1 1/1 1/1 1/1
2/100 2/100 3/100 2/100 1/100
Total
5/5
 
The sales for exercise equipment in a country were $1826 million in 1990 and $5116 million in 2005.
(a) Use the regression feature of a graphing utility to find an exponential growth model and a linear model for the data. (Use y to represent sales in millions of dollars and t to represent years after 1990. Round your values to four decimal places.)
exponential model    y = 
Correct: Your answer is correct. webMathematica generated answer key
linear model    y = 
Correct: Your answer is correct. webMathematica generated answer key


(b) Use the exponential growth model to estimate the sales in 2016. (Round your answer to one decimal place.)
$
Enter a number.
 Correct: Your answer is correct. seenKey

10,895.3

 million

(c) Use the linear model to estimate the sales in 2016. (Round your answer to one decimal place.)
$
Enter a number.
 Correct: Your answer is correct. seenKey

7528.7

 million

(d) Use a graphing utility to graph the models from part (a). Which model is more accurate?
     Correct: Your answer is correct.
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5. 0/1 points  |  Previous Answers LarApCalc10 5.3.022. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Use the Log Rule to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
x4
6 − x5
 dx
Incorrect: Your answer is incorrect. webMathematica generated answer key
Remember to use capital C.
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6. 3/3 points  |  Previous Answers LarApCalc10 9.1.018. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 1/1
1/100 1/100 1/100
Total
3/3
 
Sketch a graph of the probability distribution.
x 0 1 2 3
P(x) 0.027 0.186 0.443 0.344

Correct: Your answer is correct.

Find the required probabilities.
(a)    
P(2 ≤ x ≤ 3)

Enter a number.
 Correct: Your answer is correct. seenKey

0.787

(b)    
P(x < 3)

Enter a number.
 Correct: Your answer is correct. seenKey

0.656
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7. –/4 points LarApCalc10 11.4.026. 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
 
At any time t (in years), the rate of growth of the population N of fish in a pond is proportional to the product of N and
L − N,
 where
L = 1000
 is the maximum number of fish the pond can maintain.
(a) Use a symbolic integration utility to find the general solution. (Use k for the constant of proportionality.)
N =


(b) Find the particular solution given the conditions
N = 200 when t = 0
 and
N = 500 when t = 2.
(Round your value for k to four decimal places.)
N =


(c) Find N when
t = 1.
 (Round your answer to the nearest integer.)
Enter a number.
 fish

(d) Find t when
N = 800.
(Round your answer to one decimal place.)
Enter a number.
 yr
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8. 11/12 points  |  Previous Answers LarApCalc10 A.4.068.SBS. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12
1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 0/1
1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100
Total
11/12
 
Use the Rational Zero Theorem to find all real zeros of the polynomial.
x3 + 3x2 − 13x − 15
STEP 1: What are the possible rational roots? (Enter your answers as a comma-separated list.)
Correct: Your answer is correct. webMathematica generated answer key

STEP 2: Complete the synthetic division table when
x = 3.
3    1    3−13−15
Enter an exact number.
 Correct: Your answer is correct. seenKey

3
Enter an exact number.
 Correct: Your answer is correct. seenKey

18
Enter an exact number.
 Correct: Your answer is correct. seenKey

15
1
Enter a number.
 Correct: Your answer is correct. seenKey

6
Enter a number.
 Correct: Your answer is correct. seenKey

5
Enter an exact number.
 Correct: Your answer is correct. seenKey

0

STEP 3: Use the synthetic division above to complete the indicated factorization.
(x − 3)
Enter an exact number.
 Correct: Your answer is correct. seenKey

1

 x2 +
Enter a number.
 Correct: Your answer is correct. seenKey

6

 x +
Enter an exact number.
 Correct: Your answer is correct. seenKey

5


STEP 4: Factor the quadratic.
(x − 3)
Correct: Your answer is correct. webMathematica generated answer key


STEP 5: Find all real zeros of the polynomial. (Enter your answers as a comma-separated list.)
x =
Incorrect: Your answer is incorrect. webMathematica generated answer key
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