WebAssign is not supported for this browser version. Some features or content might not work. System requirements

WebAssign

Welcome, demo@demo

(sign out)

Saturday, March 29, 2025 04:34 EDT

Home My Assignments Grades Communication Calendar My eBooks

My Cengage Home Notifications Help My Account

Math - College, section 1, Fall 2019
My Assignments

Larson - Precalculus with Limits for HS 5/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 14 / 32

Due : Sunday, January 27, 2030 23:59 EST

Last Saved : n/a Saving... ()

Ask Your Teacher Print Assignment

Question

Points

1	2	3	4	5	6	7	8	9	10	11	12	13
1/1	1/1	1/1	0/2	1/1	4/4	–/3	–/1	–/3	–/3	0/5	1/2	5/5

Total

14/32 (43.8%)

Instructions

Engage your students and prepare them for success in your course and beyond with the student-focused approach of Ron Larson and WebAssign in Precalculus with Limits for High School, 5th edition. Developed through learning design principles, Larson removes barriers to learning and offers a carefully planned and inclusive experience for all students. Students facing readiness gaps will overcome them with new "Review & Refresh" exercises, Skills Refresher videos, and more.

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

Your last submission is used for your score.

1. 1/1 points | Previous Answers LarPCalcLim5HS 2.4.018.MI. My Notes

Perform the operation and write the result in standard form. (Simplify your answer completely.)

(6 − 5i)(2 − 2i)

2−22i

$webMathematica generated answer key$

Solution or Explanation

(6 − 5i)(2 − 2i)	=	12 − 12i − 10i + 10i²
	=	12 − 22i − 10 = 2 − 22i

Need Help?

Viewing Saved Work Revert to Last Response

2. 1/1 points | Previous Answers LarPCalcLim5HS 1.5.020. My Notes

Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)

f(x) = 9x³ − 72x² − x + 8

x =

8, 13, −13

$webMathematica generated answer key$

Viewing Saved Work Revert to Last Response

3. 1/1 points | Previous Answers LarPCalcLim5HS 1.7.050.MI. My Notes

Write an equation for the function whose graph is described.

the shape of

f(x) = |x|,

but shifted five units to the left and eight units down

g(x) =

|x+5|−8

$webMathematica generated answer key$

Solution or Explanation

f(x) = |x| moved 5 units to the left and 8 units down.

g(x) = |x + 5| − 8

Need Help?

Viewing Saved Work Revert to Last Response

4. 0/2 points | Previous Answers LarPCalcLim5HS 2.5.062.MI. My Notes

Write the polynomial as the product of linear factors.

g(x) = x² + 10x + 20

g(x) =

(x−(√5−5))(x−(√5+5))

$webMathematica generated answer key$

List all the zeros of the function. (Enter your answers as a comma-separated list. Enter all answers using the appropriate multiplicities.)

x =

√5−5,√5+5

$webMathematica generated answer key$

Solution or Explanation

g(x) = x² + 10x + 20

By the Quadratic Formula, the zeros of g(x) are as follows.

x =

−10 ±

100 − 80

−10 ±

= −5 ±

g(x) = (x + 5 +

)(x + 5 −

)

Need Help?

Viewing Saved Work Revert to Last Response

5. 1/1 points | Previous Answers LarPCalcLim5HS 3.3.049. My Notes

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 xyz⁴

ln(x)+ln(y)+4ln(z)

$webMathematica generated answer key$

Viewing Saved Work Revert to Last Response

6. 4/4 points | Previous Answers LarPCalcLim5HS 4.1.034. My Notes

Find (if possible) the complement and supplement of each angle. (If not possible, enter IMPOSSIBLE.)

(a) 125°

complement	IMPOSSIBLE °
supplement	55 °

(b) 145°

complement	IMPOSSIBLE °
supplement	35 °

Need Help?

Viewing Saved Work Revert to Last Response

7. –/3 points LarPCalcLim5HS 4.4.061. My Notes

Evaluate the sine, cosine, and tangent of the angle without using a calculator. (If an answer is undefined, enter UNDEFINED.)

4π

sin θ	=
cos θ	=
tan θ	=

Viewing Saved Work Revert to Last Response

8. –/1 points LarPCalcLim5HS 4.8.048. My Notes

A buoy oscillates in simple harmonic motion as waves go past. The buoy moves a total of 9.5 feet from its low point to its high point (see figure), and it returns to its high point every 14 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.


	9.5 ft

Need Help?

Viewing Saved Work Revert to Last Response

9. –/3 points LarPCalcLim5HS 8.2.032.MI. My Notes

If possible, find AB. (If not possible, enter IMPOSSIBLE in any cell of the matrix.)

A =

−1

, B =

−1

−5

AB =

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

Need Help?

Viewing Saved Work Revert to Last Response

10. –/3 points LarPCalcLim5HS 4.1.051.EP. My Notes

Consider an arc on a circle of radius r intercepted by a central angle θ.

r = 12 feet, θ = 45°

Convert 45° to exact radian measure.

45° =

rad

Find the exact length (in ft) of the arc.

Give a decimal approximation for the length (in ft) of the arc. (Round your answer to two decimal places.)

Viewing Saved Work Revert to Last Response

11. 0/5 points | Previous Answers LarPCalcLim5HS 4.1.073. My Notes

Prove that the area of a circular sector of radius r with central angle θ is

A =

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.

2π

P

$webMathematica generated answer key$

2π

r²θ

This gives the area of the sector of radius r with central angle θ measured in radians as desired.

Viewing Saved Work Revert to Last Response

12. 1/2 points | Previous Answers LarPCalcLim5HS 2.5.118. My Notes

Consider the following inequality.

|7x + 4| ≥ 39

Solve the inequality. (Enter your answer using interval notation.)

(−∞,−437]∪[5,∞)

$webMathematica generated answer key$

Graph the solution set.

NO SOLUTION

(
)
[
]

NO SOL

Viewing Saved Work Revert to Last Response

13. 5/5 points | Previous Answers LarPCalcLim5HS 2.6.073. My Notes

Consider the following quadratic function.

f(x) = x² + 4x

Write the quadratic function in standard form.

f(x) =

(x+2)2−4

$webMathematica generated answer key$

Sketch its graph.

0,0

-10

-9

-8

-7

-6

-5

-4

-3

-2

-1

-10

-9

-8

-7

-6

-5

-4

-3

-2

-1

WebAssign Graphing Tool

Graph LayersToggle Open/Closed

Vertical Parabola 1
Remove This Layer

P1 (, )
P2 (, )

Toggle Dashed

Submission Data

parabola: x^2+4*x

Identify the vertex and axis of symmetry.

vertex (x, f(x))

−2,−4

$webMathematica generated answer key$

axis of symmetry

x=−2

$webMathematica generated answer key$

Identify the x-intercept(s). (Enter your answers as a comma-separated list.)

x =

−4,0

$webMathematica generated answer key$

Viewing Saved Work Revert to Last Response

Home My Assignments

1	2
0/1	0/1
1/100	1/100

1	2	3	4	5
–/1	–/1	–/1	–/1	0/1
0/100	0/100	0/100	0/100	1/100