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Zill and Dewar - College Algebra 3/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 4 / 16

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 –/1 –/3 –/1 –/5 –/2
Total
4/16 (25.0%)

  • Instructions

    Here are some textbook questions from College Algebra 3/e by Dennis G. Zill and Jacqueline M. Dewar published by Jones & Bartlett Learning. Click here for a list of all of the questions coded in WebAssign. 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.

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1. –/1 points ZillColAlg3 5.1.013. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
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–/1
 
Match the given graph with the correct polynomial function.
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2. –/1 points ZillColAlg3 5.1.045. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the value of k such that (0, 7) is the y-intercept for the graph of
f(x) = x3 − 2x2 + 14x − 2k.
k =
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3. –/2 points ZillColAlg3 5.2.023. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/50 0/50
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–/2
 
Use synthetic division to find the quotient q(x) and remainder r(x) when f(x) is divided by the given linear polynomial.
f(x) = 3x2 − x + 6;     x − 2
q(x) = 
r(x) = 
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4. –/1 points ZillColAlg3 5.2.033. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
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–/1
 
Use synthetic division and the Remainder Theorem to find f(c) for the given value of c.
f(x) = 4x2 − 3x + 9;    c = −2
f(c) =
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5. –/3 points ZillColAlg3 5.3.001. My Notes
Question Part
Points
Submissions Used
1 2 3
–/1 –/1 –/1
0/50 0/50 0/50
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–/3
 
Determine whether the indicated real number is a zero of the given polynomial function f.
1;     f(x) = 2x3 − 13x2 + 20x − 9
    

Find all other zeros. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.)
x =

Give the complete factorization of f(x).
f(x) =
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6. –/1 points ZillColAlg3 5.4.011. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find all rational zeros of the given polynomial function f. (Enter your answers as a comma-separated list.)
f(x) = x4 + 6x2 − 7x
x =
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7. –/5 points ZillColAlg3 5.6.003. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
–/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50
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–/5
 
Find the vertical and horizontal asymptotes for the graph of the given rational function. Find the x- and y- intercepts of the graph. (If an answer does not exist, enter DNE.)
f(x) = 
1
x − 2
vertical asymptote    
horizontal asymptote    
x-intercept    (x, y) = ( )
y-intercept    (x, y) = ( )

Sketch the graph of f.

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8. –/2 points ZillColAlg3 5.6.045. My Notes
Question Part
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Submissions Used
1 2
–/1 –/1
0/50 0/50
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–/2
 
An x = 7-ohm resistor and a variable resistor r are placed in parallel as shown in the figure below. The resulting resistance R (in ohms) is related to the resistance r (in ohms) of the variable resistor by the equation
R = 
7r
7 + r
.
 		            
Sketch the graph of R as a function of r for r > 0.


What is the resulting resistance R as r becomes very large?
R =
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