Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter 5.2, Problem 19ES
To determine
To calculate: The average, the median and the mode of the diameters of planets from the table below:
| Planet | Average distance from the sun (in miles) | Diameter (in miles) | Length of Planet’s Day in Earth time (in days) | Time of revolution in the earth time (in years) |
| Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune | 35,983,000 67,237,700 92,955,900 141,634,800 483,612,200 888,184,000 1,782,000,000 2,794,000,000 | 3,031 7,520 7,926 4,221 88,846 74,898 31,763 31,329 | 58.82 224.59 1.00 1.03 0.41 0.43 0.45 0.66 | 0.24 0.61 1.00 1.88 11.86 29.46 84.01 164.78 |
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This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one.
A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The
wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture.
A
B
A
B
at some instant, the piston will be tangent to the circle
(a) Express the x and y coordinates of point A as functions of t:
x= 2 cos(3πt)
and y= 2 sin(3t)
(b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds:
-cot(3πt)
sin(3лt)
(c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411-
4
-2 sin (3лt)
(d)…
5. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.AE.003.
y
y= ex²
0
Video Example
x
EXAMPLE 3
(a) Use the Midpoint Rule with n = 10 to approximate the integral
कर
L'ex²
dx.
(b) Give an upper bound for the error involved in this approximation.
SOLUTION
8+2
1
L'ex² d
(a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.)
dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)]
0.1 [0.0025 +0.0225
+
+ e0.0625 + 0.1225
e0.3025 + e0.4225
+ e0.2025
+
+ e0.5625 €0.7225 +0.9025]
The figure illustrates this approximation.
(b) Since f(x) = ex², we have f'(x)
=
0 ≤ f'(x) =
< 6e.
ASK YOUR TEACHER
and f'(x) =
Also, since 0 ≤ x ≤ 1 we have x² ≤
and so
Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final
answer to five decimal places.)
6e(1)3
e
24(
=
≈
1. Consider the following preference ballots:
Number of voters
Rankings 6 5 4 2
1st choice A DCB
DC
2nd choice B B D
3rd choice DCBD
4th choice CA
AAA
For each of the four voting systems we have studied, determine who would win the election
in each case. (Remember: For plurality with runoff, all but the top two vote-getters are
simultaneously eliminated at the end of round 1.)
Chapter 5 Solutions
Developmental Mathematics (9th Edition)
Ch. 5.1 - Objectives 1.6c and 3.4c:Simplify expressions...Ch. 5.1 - Prob. 2SRCh. 5.1 - Prob. 1DECh. 5.1 - Prob. 2DECh. 5.1 - Prob. 3DECh. 5.1 - Prob. 4DECh. 5.1 - GS Sohas sociology professor included the...Ch. 5.1 - Prob. 6DECh. 5.1 - Prob. 7DECh. 5.1 - Prob. 8DE
Ch. 5.1 - Prob. 9DECh. 5.1 - Prob. 10DECh. 5.1 - Prob. 11DECh. 5.1 - Prob. 12DECh. 5.1 - Prob. 13DECh. 5.1 - Prob. 14DECh. 5.1 - Prob. 15DECh. 5.1 - 16. In a lab, Gina determined the mass, in grams,...Ch. 5.1 - Prob. 1RCCh. 5.1 - Prob. 2RCCh. 5.1 - Prob. 3RCCh. 5.1 - Prob. 4RCCh. 5.1 - Prob. 1ESCh. 5.1 - Prob. 2ESCh. 5.1 - Prob. 3ESCh. 5.1 - Prob. 4ESCh. 5.1 - Prob. 5ESCh. 5.1 - Prob. 6ESCh. 5.1 - Prob. 7ESCh. 5.1 - Prob. 8ESCh. 5.1 - Prob. 9ESCh. 5.1 - Prob. 10ESCh. 5.1 - Prob. 11ESCh. 5.1 - Prob. 12ESCh. 5.1 - Prob. 13ESCh. 5.1 - Prob. 14ESCh. 5.1 - Prob. 15ESCh. 5.1 - Prob. 16ESCh. 5.1 - Grading. To get a B in math, Rich must score an...Ch. 5.1 - Prob. 18ESCh. 5.1 - Prob. 19ESCh. 5.1 - Prob. 20ESCh. 5.1 - Median Home Prices. The following table lists the...Ch. 5.1 - Prob. 22ESCh. 5.1 - Movie Ticket Sales. The following table lists the...Ch. 5.1 - Prob. 24ESCh. 5.1 - Prob. 25ESCh. 5.1 - Prob. 26ESCh. 5.1 - Prob. 27ESCh. 5.1 - Prob. 28ESCh. 5.1 - Prob. 29ESCh. 5.1 - Prob. 30ESCh. 5.1 - Prob. 31ESCh. 5.2 - Objective 2.4d: Multiply using mixed numerals....Ch. 5.2 - Prob. 2SRCh. 5.2 - Use the table in Example 1 to answer Margin...Ch. 5.2 - Prob. 2DECh. 5.2 - Prob. 3DECh. 5.2 - Prob. 4DECh. 5.2 - Prob. 5DECh. 5.2 - Prob. 6DECh. 5.2 - Prob. 7DECh. 5.2 - Prob. 8DECh. 5.2 - Prob. 9DECh. 5.2 - Prob. 10DECh. 5.2 - Prob. 11DECh. 5.2 - Prob. 12DECh. 5.2 - Prob. 13DECh. 5.2 - Prob. 14DECh. 5.2 - Prob. 15DECh. 5.2 - Prob. 1RCCh. 5.2 - Prob. 2RCCh. 5.2 - Prob. 3RCCh. 5.2 - Prob. 4RCCh. 5.2 - Prob. 1ESCh. 5.2 - Prob. 2ESCh. 5.2 - Prob. 3ESCh. 5.2 - Prob. 4ESCh. 5.2 - Prob. 5ESCh. 5.2 - Prob. 6ESCh. 5.2 - Prob. 7ESCh. 5.2 - Prob. 8ESCh. 5.2 - Prob. 9ESCh. 5.2 - Prob. 10ESCh. 5.2 - Prob. 11ESCh. 5.2 - Prob. 12ESCh. 5.2 - Prob. 13ESCh. 5.2 - Prob. 14ESCh. 5.2 - Prob. 15ESCh. 5.2 - Prob. 16ESCh. 5.2 - Prob. 17ESCh. 5.2 - Prob. 18ESCh. 5.2 - Prob. 19ESCh. 5.2 - Prob. 20ESCh. 5.2 - Prob. 21ESCh. 5.2 - Prob. 22ESCh. 5.2 - Prob. 23ESCh. 5.2 - Prob. 24ESCh. 5.2 - Prob. 25ESCh. 5.2 - Prob. 26ESCh. 5.2 - Prob. 27ESCh. 5.2 - Prob. 28ESCh. 5.2 - Prob. 29ESCh. 5.2 - Prob. 30ESCh. 5.2 - Prob. 31ESCh. 5.2 - Prob. 32ESCh. 5.2 - Prob. 33ESCh. 5.2 - Prob. 34ESCh. 5.2 - Prob. 35ESCh. 5.2 - Prob. 36ESCh. 5.2 - Prob. 37ESCh. 5.2 - Prob. 38ESCh. 5.2 - Personal Consumption Expenditures. The following...Ch. 5.2 - Personal Consumption Expenditures. The following...Ch. 5.2 - Prob. 41ESCh. 5.2 - Prob. 42ESCh. 5.2 - Prob. 43ESCh. 5.2 - Prob. 44ESCh. 5.2 - Prob. 1MCRCh. 5.2 - Prob. 2MCRCh. 5.2 - Prob. 3MCRCh. 5.2 - Prob. 4MCRCh. 5.2 - Prob. 5MCRCh. 5.2 - Prob. 6MCRCh. 5.2 - Prob. 7MCRCh. 5.2 - Prob. 8MCRCh. 5.2 - Prob. 9MCRCh. 5.2 - Prob. 10MCRCh. 5.2 - Prob. 11MCRCh. 5.2 - Prob. 12MCRCh. 5.2 - Prob. 13MCRCh. 5.2 - Prob. 14MCRCh. 5.2 - Prob. 15MCRCh. 5.2 - Prob. 16MCRCh. 5.2 - Downsizing. Companies sometimes downsize their...Ch. 5.2 - Prob. 18MCRCh. 5.2 - Prob. 19MCRCh. 5.2 - Prob. 20MCRCh. 5.2 - Prob. 21MCRCh. 5.2 - Prob. 22MCRCh. 5.2 - Prob. 23UTDWCh. 5.2 - Answers to Exercises 23 and 24 can be found on...Ch. 5.3 - Objective 3.1c: Given a pair of numbers in decimal...Ch. 5.3 - Objective 3.1c: Given a pair of numbers in decimal...Ch. 5.3 - Prob. 1DECh. 5.3 - Prob. 2DECh. 5.3 - Prob. 3DECh. 5.3 - Prob. 4DECh. 5.3 - Prob. 5DECh. 5.3 - Prob. 6DECh. 5.3 - Prob. 7DECh. 5.3 - Prob. 8DECh. 5.3 - Prob. 1RCCh. 5.3 - Prob. 2RCCh. 5.3 - Prob. 3RCCh. 5.3 - Prob. 4RCCh. 5.3 - Prob. 1ESCh. 5.3 - Prob. 2ESCh. 5.3 - Prob. 3ESCh. 5.3 - Prob. 4ESCh. 5.3 - Prob. 5ESCh. 5.3 - Prob. 6ESCh. 5.3 - Prob. 7ESCh. 5.3 - Prob. 8ESCh. 5.3 - Prob. 9ESCh. 5.3 - Prob. 10ESCh. 5.3 - Prob. 11ESCh. 5.3 - Prob. 12ESCh. 5.3 - Prob. 13ESCh. 5.3 - Prob. 14ESCh. 5.3 - Prob. 15ESCh. 5.3 - Prob. 16ESCh. 5.3 - Prob. 17ESCh. 5.3 - Prob. 18ESCh. 5.3 - Prob. 19ESCh. 5.3 - Prob. 20ESCh. 5.3 - Prob. 21ESCh. 5.3 - Prob. 22ESCh. 5.3 - Prob. 23ESCh. 5.3 - Prob. 24ESCh. 5.3 - Prob. 25ESCh. 5.3 - Prob. 26ESCh. 5.3 - Prob. 27ESCh. 5.3 - Prob. 28ESCh. 5.3 - Prob. 29ESCh. 5.3 - Prob. 30ESCh. 5.3 - Prob. 31ESCh. 5.3 - Prob. 32ESCh. 5.3 - Prob. 33ESCh. 5.3 - Prob. 34ESCh. 5.3 - Prob. 35ESCh. 5.3 - Prob. 36ESCh. 5.3 - Prob. 37ESCh. 5.3 - Prob. 38ESCh. 5.3 - Prob. 39ESCh. 5.3 - Prob. 40ESCh. 5.3 - Prob. 41ESCh. 5.3 - Prob. 42ESCh. 5.3 - Prob. 43ESCh. 5.3 - Prob. 44ESCh. 5.3 - Prob. 45ESCh. 5.3 - Prob. 46ESCh. 5.3 - Prob. 47ESCh. 5.3 - Prob. 48ESCh. 5.3 - Prob. 49ESCh. 5.3 - Prob. 50ESCh. 5.3 - Prob. 51ESCh. 5.3 - Prob. 52ESCh. 5.3 - Prob. 53ESCh. 5.3 - Prob. 54ESCh. 5.3 - Prob. 55ESCh. 5.3 - Prob. 56ESCh. 5.3 - Prob. 57ESCh. 5.3 - Prob. 58ESCh. 5.3 - Prob. 59ESCh. 5.3 - Prob. 60ESCh. 5.4 - Objective 4.3a: Convert from fraction notation to...Ch. 5.4 - Prob. 2SRCh. 5.4 - Prob. 1DECh. 5.4 - Prob. 2DECh. 5.4 - Prob. 3DECh. 5.4 - Prob. 4DECh. 5.4 - Prob. 1TFSCh. 5.4 - Prob. 2TFSCh. 5.4 - Prob. 3TFSCh. 5.4 - Prob. 4TFSCh. 5.4 - Prob. 5TFSCh. 5.4 - The goal of these matching questions is to...Ch. 5.4 - Prob. 7TFSCh. 5.4 - Prob. 8TFSCh. 5.4 - Prob. 9TFSCh. 5.4 - Prob. 10TFSCh. 5.4 - Prob. 1RCCh. 5.4 - Prob. 2RCCh. 5.4 - Prob. 3RCCh. 5.4 - Prob. 4RCCh. 5.4 - Prob. 5RCCh. 5.4 - Prob. 6RCCh. 5.4 - Prob. 1ESCh. 5.4 - Prob. 2ESCh. 5.4 - Prob. 3ESCh. 5.4 - Prob. 4ESCh. 5.4 - Prob. 5ESCh. 5.4 - Prob. 6ESCh. 5.4 - Prob. 7ESCh. 5.4 - Prob. 8ESCh. 5.4 - Prob. 9ESCh. 5.4 - Prob. 10ESCh. 5 - Complete each statement with the correct term from...Ch. 5 - Prob. 2VRCh. 5 - Prob. 3VRCh. 5 - Prob. 4VRCh. 5 - Prob. 5VRCh. 5 - Prob. 6VRCh. 5 - Prob. 1CORCh. 5 - Prob. 2CORCh. 5 - Prob. 3CORCh. 5 - Prob. 1SGPECh. 5 - 2. Use the table in the example shown above for...Ch. 5 - Which oatmeal has the greatest cost per serving?...Ch. 5 - Prob. 4SGPECh. 5 - Prob. 5SGPECh. 5 - Prob. 6SGPECh. 5 - Use the circle graph at left to answer Exercises 7...Ch. 5 - Use the circle graph at left to answer Exercises 7...Ch. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Gas Mileage. A 2012 Mazda Miata does 336 mi of...Ch. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Major League World Series. Except for four years,...Ch. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - Prob. 33RECh. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Prob. 39RECh. 5 - Prob. 40RECh. 5 - Prob. 41RECh. 5 - Prob. 42RECh. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - What is the average of this set of data?...Ch. 5 - Prob. 47RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - Prob. 50RECh. 5 - Prob. 1UTDWCh. 5 - Prob. 2UTDWCh. 5 - Prob. 3UTDWCh. 5 - Prob. 4UTDWCh. 5 - Prob. 5UTDWCh. 5 - Prob. 6UTDWCh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Prob. 20TCh. 5 - Prob. 21TCh. 5 - Prob. 22TCh. 5 - Prob. 23TCh. 5 - Prob. 24TCh. 5 - Prob. 25TCh. 5 - 26. Referring to Exercise 25, consider a family...
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