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Larson and Hostetler - Precalculus with Limits 7/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 92/93

Due: Friday, September 10, 2010 23:00 EDT

About this Assignment

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Question
Points
1 2 3 4 5 6 7 8
12 1 6 1 3 0/1 60 9
Total
92/93

Description

Here are some textbook questions from Precalculus with Limits 1/e by Ron Larson and Robert Hostetler published by Brooks/Cole. 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.



1. 12/12 points All Submissions Notes Question: LarPCalcLim1 1.4.026.SBS.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12
1 1 1 1 1 1 1 1 1 1 1 1
1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50
Total
12/12
 
Evaluate the function at each specified value of the independent variable and simplify. (If the function is undefined at the specified value, enter UNDEFINED.)
g(y) = 7 − 4y
STEP 1: Evaluate g(0).
g(0) = 7 − 4(
Enter an exact number.
Your answer is correct.)
g(0) = 7 −
Enter an exact number.
Your answer is correct.
g(0) =
Enter an exact number.
Your answer is correct.
STEP 2: Evaluate g(7/4).
g(7/4) = 7 − 4(
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.)
g(7/4) = 7 −
Enter a number.
Your answer is correct.
g(7/4) =
Enter an exact number.
Your answer is correct.
STEP 3: Evaluate g(s).
g(s) = 7 − 4( <math><mrow><mi>s</mi></mrow></math> Your answer is correct.)
g(s) = 7 − ( <math><mrow><mn>4</mn><mi>s</mi></mrow></math> Your answer is correct.)
g(s) = <math><mrow><mn>7</mn><mo>-</mo><mn>4</mn><mi>s</mi></mrow></math> Your answer is correct.
STEP 4: Evaluate g(s + 1).
g(s + 1) = 7 − 4( <math><mrow><mi>s</mi><mo>+</mo><mn>1</mn></mrow></math> Your answer is correct.)
g(s + 1) = 7 − ( <math><mrow><mn>4</mn><mi>s</mi><mo>+</mo><mn>4</mn></mrow></math> Your answer is correct.)
g(s + 1) = <math><mrow><mn>3</mn><mo>-</mo><mn>4</mn><mi>s</mi></mrow></math> Your answer is correct.

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2. 1/1 points All Submissions Notes Question: LarPCalcLim1 1.4.048.
Question part
Points
Submissions
1
1
3/50
Total
1/1
 
Consider the following.
f(x) = (7 x-8)/3
Find all real values of x such that f(x) = 0.
x =
Enter a number.
Your answer is correct.

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3. 6/6 points All Submissions Notes Question: LarPCalcLim1 2.1.018.SBS.
Question part
Points
Submissions
1 2 3 4 5 6
1 1 1 1 1 1
1/50 1/50 1/50 1/50 1/50 3/50
Total
6/6
 
Graph the quadratic function. Plot the vertex and any intercepts.
f(x) = (x + 3)2 + 5
STEP 1: Find the vertex of the parabola.
x =
Enter an exact number.
Your answer is correct.
y =
Enter an exact number.
Your answer is correct.
STEP 2: Find the y-intercept of the parabola.
x =
Enter an exact number.
Your answer is correct.
y =
Enter an exact number.
Your answer is correct.
STEP 3: How many x-intercepts are there?
    

Your answer is correct.
STEP 4: Plot the points and graph the parabola.

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4. 1/1 points All Submissions Notes Question: LarPCalcLim1 2.1.044.
Question part
Points
Submissions
1
1
2/50
Total
1/1
 
Consider the following.
Vertex: (3, 1)
Point: (5, -7)
Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Verify your result with a graphing utility.
y = <math><mrow><mo>-</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>12</mn><mi>x</mi><mo>-</mo><mn>17</mn></mrow></math> Your answer is correct.

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5. 3/3 points All Submissions Notes Question: LarPCalcLim1 4.7.056.SBS.
Question part
Points
Submissions
1 2 3
1 1 1
1/50 1/50 1/50
Total
3/3
 
Find the exact value of the expression. Use a graphing utility to verify your result.
$ \tan\left(\arcsin \dfrac{{\color{red}60}}{{\color{red}75}}\right) $

STEP 1: Let u = arcsin (60 / 75). Find sin (u).
sin u =
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.

STEP 2: Find cos (u). (Hint: Use your result from Step 1 to make a sketch of a right triangle.)
cos u =
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.

STEP 3: Use your results from Step 1 and Step 2 to complete the chain of equalities.
tan(arcsin(60 / 75)) = tan (u) = sin (u) / cos (u) =
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.


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6. –/1 points Notes Question: LarPCalcLim1 4.7.058.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Find the exact value of the expression. Use a graphing utility to verify your result. (Hint: Make a sketch of a right triangle.)
$ \cot\left(\arctan \dfrac{{\color{red}56}}{{\color{red}33}}\right) $
Enter an exact number as an integer, fraction, or decimal.

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7. 60/60 points All Submissions Notes Question: LarPCalcLim1 8.1.034.SBS.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 2/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 2/50
Total
60/60
 
Write the matrix in row-echelon form. (Note: Row-echelon forms are not unique.)
 
 
1–132
1415–413
3–1001
 
 
STEP 1: Multiply R1 by -14 and add to R2.
 
 
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
 
 
STEP 2: Multiply R1 by -3 and add to R3.
 
 
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
 
 
STEP 3: Divide R2 by 29.
 
 
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
 
 
STEP 4: Multiply R2 by 7 and add to R3.
 
 
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
 
 
STEP 5: Divide R3 by -583/29.
 
 
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
Enter an exact number as an integer, fraction, or decimal.
Your answer is correct.
 
 

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8. 9/9 points All Submissions Notes Question: LarPCalcLim1 8.1.038.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9
1 1 1 1 1 1 1 1 1
1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50 1/50
Total
9/9
 
Use the matrix capabilities of a graphing utility to write the matrix in reduced row-echelon form.
 
 
264
103018
2610
 
 
 
 
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
Enter an exact number.
Your answer is correct.
 
 

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