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Wilson and Adamson - Applied Calculus 1/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 10/17

Due: Thursday, December 16, 2010 22:00 EST

About this Assignment

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Question
Points
1 2 3 4 5 6
2/3 1/2 4 1 0/5 2
Total
10/17

Description

Here are some textbook questions from Applied Calculus 1/e by Frank C. Wilson and Scott Adamson 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. 2/3 points All Submissions Notes Question: WilApCalc1 2.1.001.
Question part
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Submissions
1 2 3
1 1 0/1
1/50 1/50 1/50
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2/3
 
Determine the concavity, y-intercept, and vertex of the quadratic equation y = x2 – 6x + 1. (Submit your solution as an ordered pair (x,y).)
(a) y = x2 – 6x + 1 is Your answer is correct..

(b) y-intercept
Answer is not case sensitive.
Your answer is correct.

(c) vertex
Answer is not case sensitive.
Your answer is incorrect.

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2. 1/2 points All Submissions Notes Question: WilApCalc1 2.2.003.
Question part
Points
Submissions
1 2
0/1 1
1/50 1/50
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1/2
 
Consider the following.
    
Public Elementary- and Secondary-School Teachers
Years Since 1980 (t) Teachers (thousands) (R)
0 2,211
1 2,192
2 2,158
3 2,134
4 2,144
5 2,175
6 2,215
7 2,249
8 2,282
9 2,324
10 2,362
11 2,409
12 2,429
13 2,466
14 2,512
15 2,568
16 2,607
17 2,673
18 2,745
19 2,813
20 2,886
    
(Source: Statistical Abstract of the United States, 2001, Table 237, p. 151)

Find the quadratic, cubic, or quartic model that best fits the data. If multiple models appear to fit the data well, use the simplest model. (Use 4 significant digits.)
R(t) = <math><mrow><mn>5</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>3.001</mn><mi>x</mi></mrow></math> Your answer is incorrect.

According to the model, in what year is the number of teachers expected to reach 3.5 million?
    

Your answer is correct.


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3. 4/4 points All Submissions Notes Question: WilApCalc1 2.3.003.
Question part
Points
Submissions
1 2 3 4
1 1 1 1
1/50 1/50 1/50 1/50
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4/4
 
For the function y = 0.8(4)x, perform the following actions.
(a) Determine if the graph of the function is increasing or decreasing.
    

Your answer is correct.



(b) Determine if the graph of the function is concave up or down.
    

Your answer is correct.



(c) Identify the coordinate of the y-intercept.
y =
Enter an exact number.
Your answer is correct.

(d) Graph the function to verify your conclusions. (Select the correct graph.)


Your answer is correct.

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4. 1/1 points All Submissions Notes Question: WilApCalc1 2.4.015.
Question part
Points
Submissions
1
1
3/50
Total
1/1
 
Use the inverse relationship between logarithmic and exponential functions to solve the equation for x. Simplify your answer.
5x = 625
x =
Enter an exact number.
Your answer is correct.

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5. –/5 points Notes Question: WilApCalc1 2.5.009.
Question part
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Submissions
1 2 3 4 5
0/1 0/1 0/1 0/1 0/1
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0/5
 
Find the equation of the mathematical model that you believe will most accurately model the data in the table below.
Air Carrier Accidents
    
Years
(t)		Accidents
(A)
199218
199323
199423
199536
199637
199749
199850
199952
200054
     
Source: Statistical Abstract of the United States,
2001, Table 1063, p. 669.

(a) Find the model that best fits the data. (Give your answers to four decimal places.)
A(t) =

(b) Explain why you believe this function is a good model.
Concavity
    


Asymptotes
    


Function Type
    


(c) According to the model, in 2005 the number of air carrier accidents is expected to reach
Enter a number.
. (Round to the nearest whole number.)

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6. 2/2 points All Submissions Notes Question: WilApCalc1 3.4.001.
Question part
Points
Submissions
1 2
1 1
1/50 1/50
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2/2
 
Consider the following.
f(x) = x2 – 8x;      (5, -15)
(a) Determine the equation of the tangent line of the function at the given point.
y = <math><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>25</mn></mrow></math> Your answer is correct.

(b) Then graph the tangent line and the function together.

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