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Larson - Precalculus with Limits 4/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 8 / 17

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
0/1 1/1 1/1 1/2 1/1 4/4 0/3 0/1 0/3
Total
8/17 (47.1%)

  • Instructions

    Precalculus with Limits, 4th edition, written by Ron Larson and published by Cengage Learning, delivers the same sound explanations and exercises as the market-leading Precalculus, with a laser focus on preparation for calculus. Limits includes a brief algebra review of core topics, coverage of analytic geometry in three dimensions, and an introduction to concepts covered in calculus and is ideal for a two-term course. The WebAssign component for this title engages students with many features, and links to a complete eBook.

    Question 1 grades all solutions written as a list. The prompt alerts the student to enter a comma-separated list of answers.

    Question 2 contains expression grading where any equivalent form of the expression is accepted. Also included are a Master It tutorial, Watch It, and solution.

    Question 3 enforces that the answer is written as a complex number and includes a Watch It.

    Question 4 demonstrates grading for factored expressions in the first answer blank. Also included are a Master It tutorial, Watch It, and solution.

    Question 5 highlights grading used for an expanded logarithm per the question instructions.

    Question 6 is a multi-part question which shows one of many prompts used to indicate to the student what to enter when there is no answer.

    Question 7 requires the evaluations of the the sine, cosine, and tangent of the angle to be entered in simplest form.

    Question 8 features an image with a randomized value in addition to equation grading, which allows any equivalent form of the requested equation.

    Question 9 exhibits an expandable matrix answer blank that grades the matrix as a whole, and also handles answers for matrices that cannot be computed. Also included are a Master It tutorial, Watch It, and solution. 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. 0/1 points  |  Previous Answers LarPCalcLim4 1.5.024. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = 4x3 − 36x2 − x + 9
x =
−14​, −3
Incorrect: Your answer is incorrect. webMathematica generated answer key
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2. 1/1 points  |  Previous Answers LarPCalcLim4 1.7.044.MI. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Write an equation for the function described by the given characteristics.
The shape of
f(x) = |x|,
 but shifted four units to the left and nine units down
g(x) =
|x+4|−9
Correct: Your answer is correct. abs(x + 4) - 9

Solution or Explanation
f(x) = |x| moved 4 units to the left and 9 units down

g(x) = |x + 4| − 9

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3. 1/1 points  |  Previous Answers LarPCalcLim4 2.4.012. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Write the complex number in standard form.
2 + 
−64
2+8i
Correct: Your answer is correct. webMathematica generated answer key

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4. 1/2 points  |  Previous Answers LarPCalcLim4 2.5.064.MI. My Notes
Question Part
Points
Submissions Used
1 2
1/1 0/1
1/100 1/100
Total
1/2
 
Write the polynomial as the product of linear factors.
g(x) = x2 + 10x + 18
g(x) =
(x+5−√7)(x+5+√7)
Correct: Your answer is correct. webMathematica generated answer key


List all the zeros of the function. (Enter your answers as a comma-separated list.)
x =
4
Incorrect: Your answer is incorrect. webMathematica generated answer key


Solution or Explanation
g(x) = x2 + 10x + 18


By the Quadratic Formula, the zeros of g(x) are as follows.
x = 
−10 ± 
100 − 72
2
 = 
−10 ± 
28
2
 = −5 ± 
7
 

g(x) = (x + 5 + 
7
)(x + 5 − 
7
)

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5. 1/1 points  |  Previous Answers LarPCalcLim4 3.3.049. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
ln xyz3
ln(x)+ln(y)+3ln(z)
Correct: Your answer is correct. webMathematica generated answer key
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6. 4/4 points  |  Previous Answers LarPCalcLim4 4.1.032. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 1/1 1/1 1/1
1/100 1/100 1/100 1/100
Total
4/4
 
Find (if possible) the complement and supplement of each angle. (If not possible, enter IMPOSSIBLE.)
(a)    56°
complement     Correct: Your answer is correct. seenKey

34

 °
supplement     Correct: Your answer is correct. seenKey

124

 °

(b)     98°
complement     Correct: Your answer is correct. seenKey

IMPOSSIBLE

 °
supplement     Correct: Your answer is correct. seenKey

82

 °



Solution or Explanation
(a) Complement:90° − 56° = 34°
Supplement:180° − 56° = 124°
(b) Complement: Not possible, 98° is greater than 90°
     Supplement:180° − 98° = 82°

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7. 0/3 points  |  Previous Answers LarPCalcLim4 4.4.061. My Notes
Question Part
Points
Submissions Used
1 2 3
0/1 0/1 0/1
1/100 1/100 1/100
Total
0/3
 
Evaluate the sine, cosine, and tangent of the angle without using a calculator. (If an answer is undefined, enter UNDEFINED.)
5π
3
sin θ =
300
Incorrect: Your answer is incorrect. webMathematica generated answer key
cos θ =
cosθ=squarerootoƒ2over2
Incorrect: Your answer is incorrect. webMathematica generated answer key
tan θ =
10π/3
Incorrect: Your answer is incorrect. webMathematica generated answer key
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8. 0/1 points  |  Previous Answers LarPCalcLim4 4.8.050. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
A buoy oscillates in simple harmonic motion as waves go past. The buoy moves a total of 8.5 feet from its low point to its high point (see figure), and it returns to its high point every 8 seconds. Write an equation that describes the motion of the buoy if its high point is at t = 0, in terms of its height h.
t=0
Incorrect: Your answer is incorrect. webMathematica generated answer key

8.5 ft


Solution or Explanation
At t = 0, buoy is at its high point  right double arrow implies  h = a cos(ωt).
Distance from high to low = 2|a| = 8.5
|a| = 
17
4
Returns to high point every 8 seconds:
Period: 
2π
ω
 = 8  right double arrow implies  ω = 
π
4
 
h = 
17
4
 cos
πt
4
 

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9. 0/3 points  |  Previous Answers LarPCalcLim4 8.2.036.MI. My Notes
Question Part
Points
Submissions Used
1 2 3
0/1 0/1 0/1
1/100 1/100 1/100
Total
0/3
 
If possible, find AB and state the order of the result. (If not possible, enter IMPOSSIBLE.)
A = 
0−14
803
7−18
,    B = 
2−1
2−5
16
AB =

Incorrect: Your answer is incorrect. seenKey

[2, 29; 19, 10; 20, 46]

State the order of the result. (If not possible, enter IMPOSSIBLE in both answer blanks.)
Incorrect: Your answer is incorrect. seenKey

3

 × Incorrect: Your answer is incorrect. seenKey

2

Solution or Explanation
A is 3 × 3, B is 3 × 2 right double arrow implies AB is 3 × 2.
A = 
0−14
803
7−18
,    B = 
2−1
2−5
16
AB = 
0−14
803
7−18
2−1
2−5
16
 = 
229
1910
2046

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