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Stewart - Calculus: Early Transcendentals 5/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 1/19

Due: Monday, October 4, 2010 22:00 EDT

About this Assignment

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Question
Points
1 2 3 4 5 6 7
1/2 0/1 0/1 0/1 0/3 0/5 0/6
Total
1/19

Description

Here are some textbook questions from Calculus: Early Transcendentals 5/e by James Stewart published by Brooks/Cole Publishing. 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. 1/2 points All Submissions Notes Question: SCalcET5 6.1.42.
Question part
Points
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1 2
1 0/1
1/50 1/50
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1/2
 
The figure shows graphs of the marginal revenue function R ' and the marginal cost function C ' for a manufacturer. (Recall from Section 4.7 that R(x) and C(x) represent the revenue and cost when x units are manufactured. Assume that R and C are measured in thousands of dollars.)

What is the meaning of the area of the shaded region?
    

Your answer is correct.



Use the Midpoint Rule to estimate the value of this quantity.
Enter a number.
Your answer is incorrect. thousand dollars

2. –/1 points Notes Question: SCalcET5 7.1.03.
Question part
Points
Submissions
1
0/1
0/50
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0/1
 
Evaluate the integral.
int (sin(ln(t))) dt
Enter a mathematical expression.
Click here to preview your answer. + C
Click here for help with symbolic formatting.

3. –/1 points Notes Question: SCalcET5 7.1.04.
Question part
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Submissions
1
0/1
0/50
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0/1
 
Evaluate the integral.
int (x^8 ln(x)) text( ) dx
Enter a mathematical expression.
Click here to preview your answer. + C
Click here for help with symbolic formatting.

4. –/1 points Notes Question: SCalcET5 7.1.07.
Question part
Points
Submissions
1
0/1
0/50
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0/1
 
Evaluate the integral.
int (x^2 sin(ax)) dx
Enter a mathematical expression.
Click here to preview your answer. + C
Click here for help with symbolic formatting.

5. –/3 points Notes Question: SCalcET5 8.5.08.
Question part
Points
Submissions
1 2 3
0/1 0/1 0/1
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0/3
 
(a) A type of lightbulb is labeled as having an average lifetime of 1000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean µ = 1000.
(i) Use this model to find the probability that a bulb fails within the first 200 hours.
Enter a number.

(ii) Use this model to find the probability that a bulb burns for more than 800 hours.
Enter a number.

(b) What is the median lifetime of these lightbulbs?
Enter a number.
 hours

6. –/5 points Notes Question: SCalcET5 9.4.02.
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
 
A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 60 cells.
(a) Find the relative growth rate.
k =
Enter a number.
(b) Find an expression for the number of cells after t hours.
P(t) =
Enter a mathematical expression.
Click here to preview your answer.
(c) Find the number of cells after 8 hours.
Enter a number.
 billion cells
(d) Find the rate of growth after 8 hours.
Enter a number.
 billion cells per hour
(e) When will the population reach 20000 cells?
Enter a number.
 h

Click here for help with symbolic formatting.

7. –/6 points Notes Question: SCalcET5 10.1.22.
Question part
Points
Submissions
1 2 3 4 5 6
0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50
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0/6
 
Describe the motion of a particle with position (x, y) as t varies in the given interval.
x = cos2t, y = cos t, 0 t 4
The particle moves along the parabola x = y2. As t goes from 0 to 4, the particle moves from (
Enter a number.
,
Enter a number.
) down to (
Enter a number.
,
Enter a number.
) (at t = ), back up to (
Enter a number.
,
Enter a number.
) again (at t = 2), and then repeats this entire cycle between t = 2 and t = 4.
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