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Zill and Dewar - Precalculus with Calculus Preview (Homework)

Jan Jones

Jones and Bartlett, Fall 2011

Instructor: J. Bartlett

Current Score : 0 / 18

Due : Friday, December 23, 2011 10:00 PM EST

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  • Description

    Here are some textbook questions from Precalculus with Calculus Previews 4/e by Dennis G. Zill and Jacqueline M. Dewar published by Jones and Bartlett. Click here for a list of all of the questions coded in WebAssign.

  • Instructions

    This demo assignment allows many submissions and allows you to try another version of the same question for practice.

Assignment Submission

For this assignment, the number of submissions for each answer box is counted independently. The number of submissions remaining changes only if you submit a new or changed answer.

1. –/1 points Notes Question: ZillPreCalc4 3.1.013.
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Match the given graph with the correct polynomial function.
    


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2. –/1 points Notes Question: ZillPreCalc4 3.1.045.
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Find the value of k such that (0, 5) is the y-intercept for the graph of
f(x) = x3 − 2x2 + 10x − 2k.
k =
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3. –/2 points Notes Question: ZillPreCalc4 3.2.023.
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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 + 8;     x − 2
q(x) =
r(x) =

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4. –/1 points Notes Question: ZillPreCalc4 3.2.033.
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0/1
 
Use synthetic division and the Remainder Theorem to find f(c) for the given value of c.
f(x) = 3x2 − 4x + 7;    c = −1
f(c) =

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5. –/3 points Notes Question: ZillPreCalc4 3.3.001.
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Determine whether the indicated real number is a zero of the given polynomial function f.
1;     f(x) = 3x3 − 14x2 + 19x − 8
    

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 Notes Question: ZillPreCalc4 3.4.011.
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Find all rational zeros of the given polynomial function f. (Enter your answers as a comma-separated list.)
f(x) = x4 + 2x2 − 3x
x =
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7. –/5 points Notes Question: ZillPreCalc4 3.5.003.
Question part
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0/1 0/1 0/1 0/1 0/1
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Find the vertical and horizontal asymptotes for the graph of the given rational function. (If an answer does not exist, enter DNE.)
f(x) = 
1
x − 3
vertical asymptote  
horizontal asymptote  


Find the x- and y- intercepts of the graph. (If an answer does not exist, enter DNE.)
x-intercept  
y-intercept  


Sketch the graph of f. (Select the correct graph.)

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8. –/2 points Notes Question: ZillPreCalc4 3.5.045.
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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. (Select the correct graph.)

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

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9. –/2 points Notes Question: ZillPreCalc4 3.6.005.
Question part
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Approximate the area under the graph of f(x) = x + 1 on the interval [-1, 2] using six subintervals of equal width and choosing:
(a)    
xk*
 as the left-hand endpoint of each subinterval


(b)    
xk*
 as the right-hand endpoint of each subinterval.

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