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Larson - Brief Calculus: An Applied Approach 8/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 8/42

Due: Friday, September 10, 2010 21:00 EDT

About this Assignment

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Question
Points
1 2 3 4 5 6 7
3/4 1 2/9 0/13 0/3 0/9 2/3
Total
8/42

Description

Here are some textbook questions from Brief Calculus: An Applied Approach 8/e by Ron Larson 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 makes the answer key available after the first submission so you can see the correct answers. (Typically, the answer key is posted after the due date!)



1. 3/4 points All Submissions Notes Question: LarBApCalc8 1.1.004.
Question part
Points
Submissions
1 2 3 4
0/1 1 1 1
2/50 2/50 1/50 1/50
Total
3/4
 
Consider the following points.
(-3, 3), (3, -3)
(a) Plot the points.

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(b) Find the distance between the points.
Enter a number.
Your answer is correct.

8.49

(c) Find the midpoint of the line segment joining the points.
(
Enter an exact number.
Your answer is correct.

0

 ,
Enter an exact number.
Your answer is correct.

0

 )

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2. 1/1 points All Submissions Notes Question: LarBApCalc8 1.1.026.
Question part
Points
Submissions
1
1
1/50
Total
1/1
 
A guy wire is stretched from a broadcasting tower at a point 225 feet above the ground to an anchor 100 feet from the base (see figure). How long is the wire?
Enter a number.
Your answer is correct.

246

 ft

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3. 2/9 points All Submissions Notes Question: LarBApCalc8 1.2.024.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9
0/1 1 0/1 1 0/1 0/1 0/1 0/1 0/1
0/50 1/50 0/50 1/50 0/50 1/50 0/50 1/50 0/50
Total
2/9
 
Consider the given equation.
y = x2 + 9
Sketch the graph of the equation.

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Give the intercepts. (If there is more than one of either intercept, enter the smaller value first. Enter NONE in any unused answer blanks.)
x-intercept = (
Enter a number.
Your answer is correct.

NONE

 ,
Enter a number.
) (smaller x-value)
(
Enter a number.
Your answer is correct.

NONE

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

0

 ,
Enter an exact number.
) (smaller y-value)
(
Enter a number.
Your answer is incorrect.

NONE

 ,
Enter a number.
) (larger y-value)

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4. –/13 points Notes Question: LarBApCalc8 1.2.048.SBS.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12 13
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
0/13
 
Complete the square to write the equation of the circle in standard form. Then graph the circle.
x2 + y2 – 6x + 8y + 24 = 0
STEP 1: Group terms, first x and then y.
( ) + ( ) =
Enter a number.

STEP 2: Complete the square.
( x2 - 6x +
Enter a number.
 ) + (y2 + 8y +
Enter a number.
 ) =
Enter a number.

STEP 3: Write in standard form by factoring.
( x +
Enter a number.
 )2 + (y +
Enter a number.
 )2 =
Enter a number.

STEP 4: Find the center and the radius of the circle.
center = (
Enter a number.
,
Enter a number.
 )
radius =
Enter a number.

STEP 5: Graph the circle.

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5. –/3 points Notes Question: LarBApCalc8 1.3.068.
Question part
Points
Submissions
1 2 3
0/1 0/1 0/1
0/50 0/50 0/50
Total
0/3
 
Consider the point and line below.
Point: (2, 2)
Line: 4x – 2y = 3

(a) Write the equation for the line through the given point and parallel to the given line.
y =
Enter a mathematical expression or equation with exact values.


(b) Write the equation for the line through the given point and perpendicular to the given line.
y =
Enter a mathematical expression or equation with exact values.


(c) Graph all three equations.

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6. –/9 points Notes Question: LarBApCalc8 1.4.014.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
0/9
 
Consider the following function.
f(x) = {(4 x + 4 text( if ) x<0,4-x text( if ) x>=0)

(a) Graph the function.
Maple Generated Plot
 Maple Generated Plot
Maple Generated Plot
 Maple Generated Plot
(b) Determine the domain and range of the function. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)
domain:
Enter a number.
 ,
Enter a number.
range:   
Enter a number.
 ,
Enter a number.

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7. 2/3 points All Submissions Notes Question: LarBApCalc8 1.5.022.
Question part
Points
Submissions
1 2 3
1 0/1 1
1/50 1/50 1/50
Total
2/3
 
Use the graph to find the limit (if it exists). (If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.)
A = (-2, 0),    B = (-2, 4),    c = -2

(a) lim_(x->c^+) f(x)
Enter an exact number.
Your answer is correct.

0

(b) lim_(x->c^-) f(x)
Enter an exact number.
Your answer is incorrect.

4

(c) lim_(x->c) f(x)
Enter a number.
Your answer is correct.

DNE

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