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Larson - Precalculus 11/e metric ed. (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 0 / 32

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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Question
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–/1 –/1 –/1 –/2 –/1 –/4 –/3 –/1 –/3 –/3 –/5 –/2 0/5
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0/32 (0.0%)

  • Instructions

    Precalculus (Metric Version), 11th edition, by Ron Larson is known for sound, consistently structured explanations of mathematical concepts and exercises to expertly prepare students for calculus. In this edition, the author continues to revolutionize the way students learn by incorporating more real-world applications and innovative technology. The WebAssign component for this title engages students with many features, and links to a complete eBook.

    Question 1 enforces that the answer is written as a complex number and includes a Master It, a Watch It, and a solution.

    Question 2 grades all solutions written as a list. The prompt alerts the student to enter a comma-separated list of answers.

    Question 3 contains expression grading where any equivalent form of the expression is accepted. Also included are a Master It tutorial, Watch It, and solution.

    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.

    Question 10 demonstrates the functionality of the expanded problem (EP) question type. Students are required to show their intermediate work before arriving at the final answer.

    Question 11 demonstrates one of the many ways proofs can be automatically graded.

    Questions 12 and 13 are examples of Review and Refresh exercises found at the end of each section. These exercises will help the student reinforce previously learned skills and concepts and to prepare for the next section. 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

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1. –/1 points LarPCalc11M 2.4.018.MI. My Notes
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1
–/1
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–/1
 
Perform the operation and write the result in standard form. (Simplify your answer completely.)
(6 − 3i)(4 − 6i)

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2. –/1 points LarPCalc11M 1.5.020. My Notes
Question Part
Points
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1
–/1
0/100
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–/1
 
Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = 4x3 − 24x2 − x + 6
x =
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3. –/1 points LarPCalc11M 1.7.050.MI. My Notes
Question Part
Points
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1
–/1
0/100
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–/1
 
Write an equation for the function whose graph is described.
the shape of
f(x) = |x|,
 but shifted seven units to the left and eight units down
g(x) =

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4. –/2 points LarPCalc11M 2.5.062.MI. My Notes
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1 2
–/1 –/1
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–/2
 
Write the polynomial as the product of linear factors.
g(x) = x2 + 10x + 22
g(x) =
List all the zeros of the function. (Enter your answers as a comma-separated list. Enter all answers using the appropriate multiplicities.)
x =

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5. –/1 points LarPCalc11M 3.3.049. My Notes
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Points
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1
–/1
0/100
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–/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 xyz8
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6. –/4 points LarPCalc11M 4.1.034. My Notes
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–/4
 
Find (if possible) the complement and supplement of each angle. (If not possible, enter IMPOSSIBLE.)
(a)    115°
complement     °
supplement     °

(b)    135°
complement     °
supplement     °

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7. –/3 points LarPCalc11M 4.4.061. My Notes
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1 2 3
–/1 –/1 –/1
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–/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 =
cos θ =
tan θ =
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8. –/1 points LarPCalc11M 4.8.048. My Notes
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1
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–/1
 
A buoy oscillates in simple harmonic motion as waves go past. The buoy moves a total of 2.5 meters from its low point to its high point (see figure), and it returns to its high point every 12 seconds.
Three horizontal dotted lines are superimposed on an image of waves with three buoys floating on top.
  • The distance from the top line to the bottom line is 2.5 m.
  • The buoy on the left is labeled Equilibrium and corresponds to the middle line.
  • The buoy in the middle is labeled Low point and corresponds to the bottom line.
  • The buoy on the right is labeled High point and corresponds to the top line.
Write an equation that describes the motion of the buoy if its high point is at t = 0, in terms of its height h.

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9. –/3 points LarPCalc11M 8.2.032.MI. My Notes
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1 2 3
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–/3
 
If possible, find AB. (If not possible, enter IMPOSSIBLE in any cell of the matrix.)
A = 
0−12
803
5−16
,    B = 
2−1
2−5
16
AB =


State the dimension of the result. (If not possible, enter IMPOSSIBLE in both answer blanks.)
×

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10. –/3 points LarPCalc11M 4.1.051.EP. My Notes
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1 2 3
–/1 –/1 –/1
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–/3
 
Consider an arc on a circle of radius r intercepted by a central angle θ.
r = 12 feet,  θ = 60°
Convert 60° to exact radian measure.
60° =
rad
Find the exact length (in ft) of the arc.
ft
Give a decimal approximation for the length (in ft) of the arc. (Round your answer to two decimal places.)
ft
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11. –/5 points LarPCalc11M 4.1.073. My Notes
Question Part
Points
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–/5
 
Prove that the area of a circular sector of radius r with central angle θ is
A = 
1
2
θr2,
 where θ is measured in radians.
Let r be the radius of circle C and θ be a central angle of the circle measured in radians.
A circle with radius r has a shaded sector. The first side of the sector starts at the top of the circle and ends at the center of the circle. The second side of the sector starts at the top right of the circle and ends at the center of the circle. The angle formed between the two edges at the center of the circle is labeled θ.
The ratio of the shaded area of the sector and area of the circle is proportional to the ratio of the central angle θ and . This is given by the following proportion.
area of sector
 = 
measure of central angle of sector
Let A represent the area of the sector. Substitute this variable and the known quantities into this proportion and solve for A.
A
 = 
θ
2π
A = 
θ
2π
 = 
1
2
r2θ
This gives the area of the sector of radius r with central angle θ measured in radians as desired.
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12. –/2 points LarPCalc11M 2.5.118. My Notes
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Consider the following inequality.
|9x + 2| ≥ 47
Solve the inequality. (Enter your answer using interval notation.)
Graph the solution set.
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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13. 0/5 points  |  Previous Answers LarPCalc11M 2.6.073. My Notes
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0/5
 
Consider the following quadratic function.
f(x) = x2 + 4x
Write the quadratic function in standard form.
f(x) =
x(x+4)
Incorrect: Your answer is incorrect. webMathematica generated answer key
Sketch its graph.
No Solution
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Submission Data

Incorrect: Your answer is incorrect.
seenKey

parabola: x^2+4*x
Identify the vertex and axis of symmetry.
vertex (x, f(x))
= 
axis of symmetry
Identify the x-intercept(s). (Enter your answers as a comma-separated list.)
x =
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