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

Chris Read

Wiley, section 1, Fall 2010

Instructor: Mr. Wiley

Current Score: 0/27

Due: Tuesday, September 14, 2010 08:00 PM EDT

About this Assignment

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

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. –/7 points Notes Question: HGMCalc4 1.1.034.
Question part
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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) 168 176 184 192 200 208 216 224

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



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

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

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

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

2. –/2 points Notes Question: HGMCalc4 2.3.042.
Question part
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0/2
 
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.)



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




3. –/12 points Notes Question: HGMCalc4 3.2.038.
Question part
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0/12
 
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.
Find f '(0).
Enter a number.
Find f(21).
Enter a number.
Find f '(21).
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 2011 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. –/2 points Notes Question: HGMCalc4 4.5.016.
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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.
(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. –/4 points Notes Question: HGMCalc4 5.2.001.
Question part
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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.

(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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