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Stewart - Calculus (Metric) 6/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 12/33

Due: Sunday, September 19, 2010 21:00 EDT

About this Assignment

Ask Your TeacherpopUp 

Question
Points
1 2 3 4 5 6 7
10/12 0/2 0/4 0/1 0/1 1 1/12
Total
12/33

Description

The world's most trusted textbook
+ the world's leading homework service
= The Perfect Course Solution


Now Stewart's proven problem-solving approach becomes the foundation of Enhanced WebAssign for Stewart's Calculus (Metric). You will be able to choose from over 5000 textbook problems to assign in WebAssign's secure online environment, each one with a detailed solution available to students at your discretion.


And, to help students master critical calculus concepts Enhanced WebAssign includes enhanced content, specifically linking homework problems to interactive tools, tutorials and examples authored by Jim Stewart.


Sign up for a Test Drive today!


You can check out a sampling of this exciting development below.


Questions 1, 2, and 4 are traditional, free response end-of-section/chapter questions, with detailed algorithmic solution. (For this demo, the solution can be displayed immediately after the question has been submitted rather than the normal way of after the assignment is past due.)


Question 3 is a question involving an algorithmically generated graph.


Questions 5 and 6 are free response with math palette for entering the answer. (For this demo, the solution can be displayed immediately after the question has been submitted rather than the normal way of after the assignment is past due.)


Question 7 is a representative selection of problems from Stewart's new Diagnostic Tests. The Diagnostic Tests allow students to review their existing math skills before starting the calculus sequence, covering algebra, analytic geometry, trigonometry, and functions. For students that need additional help, James Stewart has written review content that can be accessed just-in-time while working through the diagnostic problems. This example problem represents just a few of the algebra questions.


Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.



1. 10/12 points All Submissions Notes Question: SCalc6M 1.1.001.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12
0/1 0/1 1 1 1 1 1 1 1 1 1 1
4/5 4/5 1/5 1/5 2/5 1/5 1/5 1/5 1/5 1/5 1/5 1/5
Total
10/12
 
The graph of a function f is given.
(a) State the value of f(1).
Enter a number.
Your answer is incorrect.

(b) Estimate the value of f(2).
Enter a number.
Your answer is incorrect.

(c) For what values of x is f(x) = 2?
Enter a number.
Your answer is correct. (smaller value)
Enter a number.
Your answer is correct. (larger value)

(d) Estimate the values of x such that f(x) = 0.
Enter a number.
Your answer is correct. (smaller value)
Enter a number.
Your answer is correct. (larger value)

(e) State the domain and range of f.
[
Enter a number.
Your answer is correct.
Enter a number.
Your answer is correct.]		domain
[
Enter a number.
Your answer is correct.
Enter a number.
Your answer is correct.]		range

(f) On what interval is f increasing?
(
Enter a number.
Your answer is correct.,
Enter a number.
Your answer is correct.)


2. 0/2 points All Submissions Notes Question: SCalc6M 4.1.031.
Question part
Points
Submissions
1 2
0/1 0/1
1/5 1/5
Total
0/2
 
Find the critical numbers of the function.
f(x) = x3 + 6x2 - 15x
x =
Enter an exact number.
Your answer is incorrect. (smaller value)
x =
Enter an exact number.
Your answer is incorrect. (larger value)

3. –/4 points Notes Question: SCalc6M 5.1.001.
Question part
Points
Submissions
1 2 3 4
0/1 0/1 0/1 0/1
0/5 0/5 0/5 0/5
Total
0/4
 
Do the following.
a = 5
(a) By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x = 0 to x = 10.

A
Enter a number.
 (lower estimate)
A
Enter a number.
 (upper estimate)

(b) Find new estimates using ten rectangles in each case.

A
Enter a number.
 (lower estimate)
A
Enter a number.
 (upper estimate)


4. –/1 points Notes Question: SCalc6M 6.1.004.
Question part
Points
Submissions
1
0/1
0/5
Total
0/1
 
Consider the following shaded region.
Find the area S of the shaded region if a = 6, b = 3.
S =
Enter an exact number as an integer, fraction, or decimal.


5. 0/1 points All Submissions Notes Question: SCalc6M 8.1.022.
Question part
Points
Submissions
1
0/1
1/5
Total
0/1
 
Evaluate the integral.
int_16^49 (ln y)/sqrt(y) dy
<math><mrow><mfrac><mn>5</mn><mrow><mn>7</mn><msqrt><mn>9</mn></msqrt></mrow></mfrac></mrow></math> Your answer is incorrect.

6. 1/1 points All Submissions Notes Question: SCalc6M 8.1.033.
Question part
Points
Submissions
1
1
5/5
Total
1/1
 
First make a substitution and then use integration by parts to evaluate the integral.
int 39 cos sqrt(x) dx
<math><mrow><mn>78</mn><mo>*</mo><msqrt><mi>x</mi></msqrt><mo>*</mo><mo>sin</mo><mfenced close=')' open='('><msqrt><mi>x</mi></msqrt></mfenced><mo>+</mo><mn>78</mn><mo>*</mo><mo>cos</mo><mfenced close=')' open='('><msqrt><mi>x</mi></msqrt></mfenced></mrow></math>Your answer is correct. + C

7. 1/12 points All Submissions Notes Question: SCalc6M Diagnostic.Algebra.demo
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12
1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
1/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5
Total
1/12
 
4) Factor each expression.
(a) 4x2 - 25 = <math><mrow><mfenced close=')' open='('><mn>2</mn><mi>x</mi><mo>-</mo><mn>5</mn></mfenced><mfenced close=')' open='('><mn>2</mn><mi>x</mi><mo>+</mo><mn>5</mn></mfenced></mrow></math> Your answer is correct.

(b) 2x2 + 5x - 12 =

(c) x3 - 3x2 - 4x + 12 =

(d) x4 + 27x =

(e) 3x3/2 - 9x1/2 + 6x-1/2 =

(f) x3y - 4xy =


9) Solve each inequality. Write your answer using interval notation. (If you need to use - or , enter -INFINITY or INFINITY.)
(a) -4<5-3x<=17
Answer is not case sensitive.


(b) x^2<2x+8
Answer is not case sensitive.


(c) x(x-1)(x+2) > 0
Answer is not case sensitive.
Answer is not case sensitive.


(d) abs(x-4)<3
Answer is not case sensitive.


(e) (2x-3)/(x+1)<=1
Answer is not case sensitive.


If you have had difficulty with these problems, you may wish to consult the Review of Algebra on the website StewartCalculus.com.

NOTE FROM WEBASSIGN: This question is just a representative sample of available problems from Stewart's new Diagnostic Tests, which allow students to review their existing math skills in algebra, analytic geometry, trigonometry and functions. A complete Diagnostic Test for each of these subject areas (along with review material written by James Stewart) is available to help your students get up to speed.
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