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Varberg, Purcell, Rigdon - Calculus 9/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 0/20

Due: Friday, December 10, 2010 21:30 EST

About this Assignment

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Question
Points
1 2 3 4 5
0/5 0/1 0/7 0/3 0/4
Total
0/20

Description

Here are some textbook questions from Calculus 9/e by Dale Varberg, Edwin Purcell, and Steve Rigdon published by Prentice Hall. 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. –/5 points Notes Question: VCalc9 6.5.010.
Question part
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The population of a certain country is growing at 3.8% per year; that is, if it is A at the beginning of a year, it is 1.038A at the end of that year.
(a) Assuming that it is 4.5 million now, what will it be at the end of the following years?
Enter a mathematical expression.
 million (1 year)
Enter a mathematical expression.
 million (2 years)
Enter a mathematical expression.
 million (10 years)

(b) Determine the proportionality constant k in dy/dt = k y for the problem above.
k =
Enter a mathematical expression.


(c) Use y = 4.5ekt to find the population after 100 years.
Enter a mathematical expression.
 million


2. –/1 points Notes Question: VCalc9 7.1.002.
Question part
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0/1
 
Integrate.
int sqrt(9 x) text( ) dx
Enter a mathematical expression.
Click here to preview your answer. + C
Click here for help with symbolic formatting.

3. –/7 points Notes Question: VCalc9 9.1.002.
Question part
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An explicit formula for an is given.
a_n = (6 n+2)/(n+1)
Write the first five terms of {an}.
a1 =
Enter a number.

a2 =
Enter a number.

a3 =
Enter a number.

a4 =
Enter a number.

a5 =
Enter a number.


Determine whether the sequence converges or diverges.
    



If it converges, find the limit as n approaches infinity. If it diverges, enter NONE.
Enter a number.


4. –/3 points Notes Question: VCalc9 9.5.016-26.
Question part
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Consider the following.
A
sum_(n=1)^(infinity) (-1)^(n+1) n/(10n^1.1 + 1)		 B
sum_(n=1)^(infinity) (-1)^(n+1) 1/(n(1+sqrt(n)))		 C
sum_(n=2)^(infinity) (-1)^n 1/sqrt(n^2-1)		 D
sum_(n=1)^(infinity) (-1)^(n+1) (n-1)/n		 E
sum_(n=1)^(infinity) (sin(npi/2))/(n^2)		 F
sum_(n=1)^(infinity) n sin(1/n)
(a) Which of the series are absolutely convergent? (Select all that apply.)



(b) Which of the series are conditionally convergent? (Select all that apply.)



(c) Which of the series are divergent? (Select all that apply.)




5. –/4 points Notes Question: VCalc9 10.1.002.
Question part
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Consider the following.
y2 = -24x
(a) Find the coordinates of the focus for the parabola.
(
Enter a number.
,
Enter an exact number.
)

(b) Find the equation of the directrix for the parabola.
=
Enter a mathematical expression.
Click here to preview your answer.
Click here for help with symbolic formatting.

(c) Make a sketch showing the parabola, its focus, and its directrix. (Do this on paper. Your teacher may ask you to turn in this work.)
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