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Swokowski and Cole - Alg and Trig w Anal Geom 12/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 2/16

Due: Wednesday, November 17, 2010 21:00 EST

Question
Points
1 2 3 4 5 6 7 8
2/5 0/1 0/2 0/1 0/1 0/3 0/2 0/1
Total
2/16

Description

Create your course assignments by selecting questions from our bank of 1500 end-of-section exercises, as well as enhanced interactive examples with videos.

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In this assignment we present several textbook question types found in Chapter 4 on polynomials and rational functions in Algebra and Trigonometry with Analytic Geometry 12/e by Earl Swokowski and Jeffery A. Cole published by Brooks/Cole.


Instructions

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



1. 2/5 points All Submissions Notes Question: SwokATG12 3.2.004.
Question part
Points
Submissions
1 2 3 4 5
0/1 0/1 0/1 1 1
1/50 1/50 1/50 1/50 1/50
Total
2/5
 
Sketch the graph of the equation.
y = -6x12

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You can get Flash Player free from Adobe's website.



Label the x- and y-intercepts.

x-intercept
(x, y) = (
Enter an exact number.
Your answer is incorrect.,
Enter an exact number.
Your answer is incorrect.)

y-intercept
(x, y) = (
Enter an exact number.
Your answer is correct.,
Enter an exact number.
Your answer is correct.)

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2. –/1 points Notes Question: SwokATG12 4.1.036.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
If f(x) = kx3 + x2 - kx + 3, find a number k such that the graph of f contains the point (2, 19).
k =
Enter an exact number.

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3. –/2 points Notes Question: SwokATG12 4.2.021.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
Use synthetic division to find the quotient and remainder if the first polynomial is divided by the second.
4x3 - 3x2 + 6x - 5;     x - 4
quotient
remainder

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4. –/1 points Notes Question: SwokATG12 4.3.004.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.
-1, -5, 0;    f(-4) = -24
f(x) =

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5. –/1 points Notes Question: SwokATG12 4.3.021.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Find the zeros of f(x), and state the multiplicity of each zero.
f(x) = x4 + 11x2 - 900
    


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6. –/3 points Notes Question: SwokATG12 4.4.015.
Question part
Points
Submissions
1 2 3
0/1 0/1 0/1
0/50 0/50 0/50
Total
0/3
 
Find all solutions of the equation. (If a solution has a multiplicity of two, enter it in consecutive answer boxes.)
x3 - 6x2 + 3x + 10 = 0
x =
Enter an exact number.
(smallest value)
x =
Enter an exact number.

x =
Enter an exact number.
(largest value)

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7. –/2 points Notes Question: SwokATG12 4.4.037.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
A storage shelter is to be constructed in the shape of a cube with a triangular prism forming the roof (see the figure). The length x of a side of the cube is yet to be determined.
(a) If the total height of the structure is h (h = 15) feet, find the equation of its volume V.
V = ft

(b) Determine x so that the volume is 736 ft3
x =
Enter an exact number.
ft

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8. –/1 points Notes Question: SwokATG12 4.5.045.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Find an equation of a rational function f that satisfies the given conditions.
vertical asymptote: x = 7
horizontal asymptote: y = -1
x-intercept: 1
    


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