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Zill & Dewar-Essential Precalc-Calc Preview 6/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 13 / 33

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 10 11 12 13 14
2/2 4/7 –/1 –/1 2/2 –/3 –/2 –/2 5/5 0/2 0/1 –/2 –/1 0/2
Total
13/33 (39.4%)

  • Instructions

    Essentials of Precalculus with Calculus Previews, 6th edition by Dennis Zill and Jacqueline Dewar, published by Jones and Bartlett Learning, is an ideal undergraduate text to help students successfully transition into a future course in calculus. The sixth edition of this best-selling text presents the fundamental mathematics used in a typical calculus sequence in a focused and readable format.

    Question 1 demonstrates interval grading, which can grade any canonically equivalent interval and enforce proper notation. This question also shows how to graph the interval on the WebAssign NumberLine tool.

    Question 2 is a multi-part question that asks about a series of properties of quadratic functions, ending with graphing the parabola on the WebAssign graphing tool.

    Question 4 demonstrates interval grading for domain, which can grade any canonically equivalent interval and enforce proper notation.

    Question 7 shows the grading of complex numbers.

    Question 9 asks for the equations of the vertical and horizontal asymptotes and also for the x- and y- intercept. Does the x-intercept exist?

    Question 13 has a tutorial that steps the student through how to use the Remainder Theorem.

    View the complete list of WebAssign questions available for this textbook. 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.

    All answer keys and the solution for question 13 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. 2/2 points  |  Previous Answers ZillEssPreCalc6 1.1.012. My Notes
Question Part
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1/1 1/1
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2/2
 
Write the given inequality using interval notation.
−9 < x ≤ −3
(−9,−3]


Graph the interval.
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-9-8-7-6-5-4-3-2-10
Created with Raphaël 2.1.0

NO SOLUTION

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2. 4/7 points  |  Previous Answers ZillEssPreCalc6 2.4.008. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7
0/1 0/1 1/1 1/1 1/1 1/1 0/1
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4/7
 
Consider the quadratic function f.
f(x) = −x2 + 6x
(a) Find all intercepts of the graph of f.
x-intercepts    (x, y) = 
−6,0
Incorrect: Your answer is incorrect. webMathematica generated answer key
 (smaller x-value)
(x, y) = 
0,0
Incorrect: Your answer is incorrect. webMathematica generated answer key
 (larger x-value)
y-intercept    (x, y) = 
0,0
Correct: Your answer is correct. webMathematica generated answer key


(b) Express the function f in standard form.
f(x) =
−(x−3)2+9
Correct: Your answer is correct. webMathematica generated answer key


(c) Find the vertex.
(x, y) = 
3,9
Correct: Your answer is correct. webMathematica generated answer key


Find the axis of symmetry.
x=3
Correct: Your answer is correct. webMathematica generated answer key

(d) Sketch the graph of f.
No Solution
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Submission Data

Incorrect: Your answer is incorrect.
seenKey

parabola: -x*(x-6)
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3. –/1 points ZillEssPreCalc6 4.3.009. My Notes
Question Part
Points
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1
–/1
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–/1
 
The given figure shows one cycle of a sine or cosine graph. From the figure, determine A and D and write an equation of the form
y = A sin(x) + D or y = A cos(x) + D
 for the graph.
y =
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4. –/1 points ZillEssPreCalc6 3.1.047. My Notes
Question Part
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1
–/1
0/50
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–/1
 
Find the value of k such that (2, 0) is is an x-intercept for the graph of
f(x) = kx5 − x2 + 6x + 4.

k =
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5. 2/2 points  |  Previous Answers ZillEssPreCalc6 3.1.055. My Notes
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1 2
1/1 1/1
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2/2
 
An open box can be made from a rectangular piece of cardboard by cutting a square of length x from each corner and bending up the sides. See the figure below. If the cardboard measures a = 30 cm by b = 36 cm, then the volume of the resulting box is given by
V(x) = x(30 − 2x)(36 − 2x).
Sketch the graph of V(x) for x > 0.


What is the domain of the function V? (Assume that the volume must be greater than 0. Enter your answer using interval notation.)
(0,15)
Correct: Your answer is correct. webMathematica generated answer key
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6. –/3 points ZillEssPreCalc6 3.2.007. My Notes
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1 2 3
–/1 –/1 –/1
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–/3
 
Use long division to find the quotient q(x) and remainder r(x) when the polynomial f(x) is divided by the given polynomial d(x). (Simplify your answers completely.)
f(x) = 27x3 + x − 2;    d(x) = 3x2 − x
q(x) = 
r(x) = 


Write your answer in the form
f(x) = d(x)q(x) + r(x).
f(x) =
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7. –/2 points ZillEssPreCalc6 3.3.014. My Notes
Question Part
Points
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1 2
–/1 –/1
0/50 0/50
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–/2
 
Use
(a + b)2 = a2 + 2ab + b2
 and
(a + b)3 = a3 + 3a2b + 3ab2 + b3
 to find
z2
 and
z3
 for the given complex number. (Simplify your answers completely.)
z = 
2
 − i
z2 = 
z3 = 
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8. –/2 points ZillEssPreCalc6 3.4.022. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/50 0/50
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–/2
 
Find all real zeros of the given polynomial function f. (Enter your answers as a comma-separated list.)
f(x) = 6x3 + 23x2 + 3x − 14
x =


Factor f(x) using only real numbers.
f(x) =
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9. 5/5 points  |  Previous Answers ZillEssPreCalc6 3.5.011. My Notes
Question Part
Points
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1 2 3 4 5
1/1 1/1 1/1 1/1 1/1
1/50 1/50 1/50 2/50 1/50
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5/5
 
Find the vertical and horizontal asymptotes for the graph of the given rational function. (Enter your answers as comma-separated lists of equations. If an answer does not exist, enter DNE.)
f(x) = 
9
(x − 3)2
vertical asymptote(s)
x=3
Correct: Your answer is correct. webMathematica generated answer key
horizontal asymptote(s)     
y=0
Correct: Your answer is correct. webMathematica generated answer key

Find x- and y-intercepts of the graph. (If an answer does not exist, enter DNE.)
x-intercept     (x, y) =
DNE
Correct: Your answer is correct. webMathematica generated answer key
y-intercept     (x, y) =
0, 1
Correct: Your answer is correct. webMathematica generated answer key

Sketch the graph of f.

Correct: Your answer is correct.
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10. 0/2 points  |  Previous Answers ZillEssPreCalc6 3.5.047. My Notes
Question Part
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1 2
–/1 0/1
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0/2
 
The intensity of illumination from a light source at any point is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. Given two sources of strengths Source A = 8 units and Source B = 4 units that are 100 cm apart, as shown in the figure below, the intensity I at any point P between them is given by
I(x) = 
8
x2
 + 
4
(100 − x)2
,
where x is the distance from the 8-unit source.

Sketch the graph of I(x) for 0 < x < 100.


Describe the behavior I(x) as x → 0+. As x → 100−.
     Incorrect: Your answer is incorrect.
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11. 0/1 points  |  Previous Answers ZillEssPreCalc6 3.6.011. My Notes
Question Part
Points
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1
0/1
1/50
Total
0/1
 
Find the partial fraction decomposition of the given rational expression.
 
−5x + 5
x2 − 3x − 4
 
x+3
Incorrect: Your answer is incorrect. webMathematica generated answer key
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12. –/2 points ZillEssPreCalc6 3.7.013. My Notes
Question Part
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1 2
–/1 –/1
0/50 0/50
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–/2
 
Suppose a realtor wants to find the area of an irregularly shaped piece of land that is bounded between an L = 5 mi-long segment of a straight road and the shore of a lake. Measurements (in feet) of the perpendicular distances from the road to the lake are taken at equally spaced intervals along the road as shown in the figure. Find the left-hand and right-hand approximations of the area of the land. Express your answers in acres using the fact that 1 acre = 43,560 ft2. (Round your answers to two decimal places.)
left-hand      acres
right-hand      acres
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13. –/1 points ZillEssPreCalc6 3.2.017-022a.XP.Tut. My Notes
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1
–/1
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–/1
 
Given
P(x),
 use the Remainder Theorem to find P(3).
P(x) = x4 − 2x3 + 2x2 − 4x
P(3) =
Tutorial
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14. 0/2 points  |  Previous Answers ZillEssPreCalc6 3.4.021-030a.XP. My Notes
Question Part
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1 2
0/1 0/1
1/50 1/50
Total
0/2
 
Find the zeros of
p(x) = x2 − 3x − 6.
 (Enter your answers as a comma-separated list.)
x =
3
Incorrect: Your answer is incorrect. webMathematica generated answer key

Use them to factor
p(x).

p(x) =
x−3
Incorrect: Your answer is incorrect. (x - (3-sqrt(33))/2)(x - (3+sqrt(33))/2)

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