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Varberg, Purcell, Rigdon - Calculus Early Transcen (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 8/17

Due: Friday, December 10, 2010 22:00 EST

About this Assignment

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Question
Points
1 2 3 4 5
0/2 1 7 0/3 0/4
Total
8/17

Description

Here are some textbook questions from Calculus Early Transcendentals 1/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. –/2 points Notes Question: VCalcET1 4.10.010.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
The population of a certain country is growing at 3.4% per year; that is, if it is A at the beginning of a year, it is 1.034A at the end of that year. Assume that the population is now 4.6 million. Determine the proportionality constant k in dy/dt = ky.
k =
Enter a number.

Use y = 4.6ekt to find the population after 100 years.
Enter a number.
 million

2. 1/1 points All Submissions Notes Question: VCalcET1 7.1.002.
Question part
Points
Submissions
1
1
1/50
Total
1/1
 
Integrate.
int sqrt(5 x) text( ) dx
Enter a mathematical expression.
Click here to preview your answer.Your answer is correct. + C
Click here for help with symbolic formatting.

3. 7/7 points All Submissions Notes Question: VCalcET1 9.1.002.
Question part
Points
Submissions
1 2 3 4 5 6 7
1 1 1 1 1 1 1
1/50 1/50 1/50 1/50 1/50 1/50 1/50
Total
7/7
 
An explicit formula for an is given.
a_n = (7 n+2)/(n+1)
Write the first five terms of {an}.
a1 =
Enter a number.
Your answer is correct.
a2 =
Enter a number.
Your answer is correct.
a3 =
Enter a number.
Your answer is correct.
a4 =
Enter a number.
Your answer is correct.
a5 =
Enter a number.
Your answer is correct.

Determine whether the sequence converges or diverges.
    

Your answer is correct.



If it converges, find lim_(n->infinity) a_n. If it diverges, enter NONE.
Enter a number.
Your answer is correct.

4. –/3 points Notes Question: VCalcET1 9.5.016-26.
Question part
Points
Submissions
1 2 3
0/1 0/1 0/1
0/50 0/50 0/50
Total
0/3
 
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: VCalcET1 10.1.002.
Question part
Points
Submissions
1 2 3 4
0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50
Total
0/4
 
Consider the following.
y2 = -12x
(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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