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Hughes-Hallett et al-Calculus: Single & Multivar 4 (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 13/27

Due: Thursday, September 9, 2010 21:45 EDT

About this Assignment

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Question
Points
1 2 3 4 5
6/7 2 4/12 0/2 1/4
Total
13/27

Description

Here are some textbook questions from Calculus: Single and Multivariable 4/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. 6/7 points All Submissions Notes Question: HGMCalc4 1.1.034.
Question part
Points
Submissions
1 2 3 4 5 6 7
1 1 1 1 0/1 1 1
1/50 3/50 1/50 1/50 2/50 1/50 1/50
Total
6/7
 
The table gives the average weight, w, in pounds, of American men in their sixties for various heights, h, in inches.

h (inches) 65 66 67 68 69 70 71 72
w (pounds) 165 173 181 189 197 205 213 221

(a) How do you know that the data in this table could represent a linear function?
    

Your answer is correct.



(b) Find weight, w, as a linear function of height, h.
w(h) =
Enter a mathematical expression.
Click here to preview your answer.Your answer is correct.
Click here for help with symbolic formatting.

What is the slope of the line? What are the units for the slope?
Enter a number.
Your answer is correct. Your answer is correct.

(c) Find height, h, as a linear function of weight, w.
h(w) =
Enter a mathematical expression.
Click here to preview your answer.Your answer is incorrect.
Click here for help with symbolic formatting.

What is the slope of the line? What are the units for the slope?
Enter a number.
Your answer is correct. Your answer is correct.

2. 2/2 points All Submissions Notes Question: HGMCalc4 2.3.042.
Question part
Points
Submissions
1 2
1 1
1/50 1/50
Total
2/2
 
Figure 2.36 is the graph of f', the derivative of a function f.

Figure 2.36. Graph of f', not f
(a) On what interval(s) is the function f increasing? (Select all that apply.)

Your answer is correct.



(b) On what interval(s) is the function f decreasing? (Select all that apply.)

Your answer is correct.




3. 4/12 points All Submissions Notes Question: HGMCalc4 3.2.038.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12
1 1 1 1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
1/50 1/50 1/50 1/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
4/12
 
The population of the world in billions of people can be modeled by the function f(t) = 5.3(1.018)t, where t is years since 1990.
(a) Find f(0).
Enter a number.
Your answer is correct. Your answer is correct.
Find f '(0).
Enter a number.
Your answer is correct. Your answer is correct.
Find f(22).
Enter a number.
Find f '(22).
Enter a number.

(b) In 1990 the population was
Enter a number.
 billion people and was increasing at a rate of
Enter a number.
 billion people per year.

(c) This model predicts that in 2012 the population will be
Enter a number.
 billion people and will be increasing at a rate of
Enter a number.
 billion people per year.

4. 0/2 points All Submissions Notes Question: HGMCalc4 4.5.016.
Question part
Points
Submissions
1 2
0/1 0/1
1/50 0/50
Total
0/2
 
A closed box has a fixed surface area A and a square base with side x.
(a) Find a formula for its volume, V, as a function of x.
Enter a mathematical expression.
Click here to preview your answer.Your answer is incorrect.
(b) Sketch a graph of V against x. (Do this on paper. Your instructor may ask you to turn in this graph.)
(c) Find the maximum value of V.
Enter a mathematical expression.
Click here to preview your answer.

Click here for help with symbolic formatting.

5. 1/4 points All Submissions Notes Question: HGMCalc4 5.2.001.
Question part
Points
Submissions
1 2 3 4
1 0/1 0/1 0/1
1/50 0/50 0/50 0/50
Total
1/4
 
Using Figure 5.24, 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.

Figure 5.24
(a) Right-hand sum with Δ t = 4
Enter a number.
Your answer is correct.
(b) Left-hand sum with Δ t = 4
Enter a number.

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

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

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