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Hughes-Hallett et al-Calculus: Single & Multivar 3 (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 12/19

Due: Thursday, September 9, 2010 22:00 EDT

About this Assignment

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Question
Points
1 2 3 4 5
6 4 0/4 2 0/3
Total
12/19

Description

Here are some textbook questions from Calculus: Single and Multivariable 3/e by Hughes-Hallett, Gleason, and McCallum published by John Wiley & Sons, Inc. 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. 6/6 points All Submissions Notes Question: HGMCalc3 1.1.015.
Question part
Points
Submissions
1 2 3 4 5 6
1 1 1 1 1 1
1/50 1/50 1/50 1/50 1/50 1/50
Total
6/6
 
Match the graphs in the figure below with the following equations. (Note that x and y scales may be unequal.)

(a) y=2.35 x Your answer is correct.
(b) y=0.05 +0.005 x Your answer is correct.
(c) y=-27.7 -0.5 x Your answer is correct.
(d) y=0.5 x-27.4 Your answer is correct.
(e) y=5.8-164 x Your answer is correct.
(f) y=x/(-3.94) Your answer is correct.

2. 4/4 points All Submissions Notes Question: HGMCalc3 2.1.004.
Question part
Points
Submissions
1 2 3 4
1 1 1 1
1/50 1/50 1/50 1/50
Total
4/4
 
You are given the graph of a function.
At what labeled points is the slope of the graph negative? (Select all that apply.)

Your answer is correct.



At what labeled points is the slope of the graph positive? (Select all that apply.)

Your answer is correct.



At which labeled point does the graph have the least slope (i.e., negative and with the largest magnitude)?
    

Your answer is correct.



At which labeled point does the graph have the greatest slope (i.e., most positive)?
    

Your answer is correct.




3. –/4 points Notes Question: HGMCalc3 5.2.001.
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
 
Using the figure below, draw rectangles representing each of the following Riemann sums for the function f on the interval 0 t 8. Calculate the value of each sum.
(a) Left-hand sum with Δ t = 4
Enter a number.

(b) Right-hand sum with Δ t = 4
Enter a number.

(c) Left-hand sum with Δ t = 2
Enter a number.

(d) Right-hand sum with Δ t = 2
Enter a number.


4. 2/2 points All Submissions Notes Question: HGMCalc3 6.1.001.
Question part
Points
Submissions
1 2
1 1
1/50 1/50
Total
2/2
 
For the graph below, sketch two functions F such that F ' = f. In one case let F(0) = 0 and in the other, let F(0) = 1. Place both sketches on the same graph. (Do this on paper. Your teacher may ask you to turn in this work.)
(a) Which of the following best matches your sketch?
Your answer is correct.


A
B
C
D

(b) Referring to your choice in part (a), which of the following is a true statement?
    

Your answer is correct.


5. –/3 points Notes Question: HGMCalc3 10.1.003.
Question part
Points
Submissions
1 2 3
0/1 0/1 0/1
0/50 0/50 0/50
Total
0/3
 
Find the Taylor polynomial of degree n approximating the given function for x near 0. (Assume p is a constant.) (Note: You will need to convert any factorials into integers.)
sqrt(1+x) text( , ) n = 2, 3, 4
P2(x) =
Enter a mathematical expression.
Click here to preview your answer.
P3(x) =
Enter a mathematical expression.
Click here to preview your answer.
P4(x) =
Enter a mathematical expression.
Click here to preview your answer.
Click here for help with symbolic formatting.
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