Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter 13.1, Problem 8ES
To determine
Whether the provided ordered pair
equations
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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 13 Solutions
Developmental Mathematics (9th Edition)
Ch. 13.1 - Prob. 1SRCh. 13.1 - Prob. 2SRCh. 13.1 - Prob. 1DECh. 13.1 - Prob. 2DECh. 13.1 - Prob. 3DECh. 13.1 - Prob. 4DECh. 13.1 - Prob. 5DECh. 13.1 - Prob. 6DECh. 13.1 - Prob. 7DECh. 13.1 - Prob. 8DE
Ch. 13.1 - Prob. 1CCE1Ch. 13.1 - Prob. 2CCE1Ch. 13.1 - Prob. 3CCE1Ch. 13.1 - Prob. 1RCCh. 13.1 - Prob. 2RCCh. 13.1 - Prob. 3RCCh. 13.1 - Prob. 4RCCh. 13.1 - Prob. 1ESCh. 13.1 - Prob. 2ESCh. 13.1 - Prob. 3ESCh. 13.1 - Prob. 4ESCh. 13.1 - Prob. 5ESCh. 13.1 - Prob. 6ESCh. 13.1 - Prob. 7ESCh. 13.1 - Prob. 8ESCh. 13.1 - Prob. 9ESCh. 13.1 - Prob. 10ESCh. 13.1 - Prob. 11ESCh. 13.1 - Prob. 12ESCh. 13.1 - Prob. 13ESCh. 13.1 - Prob. 14ESCh. 13.1 - Prob. 15ESCh. 13.1 - Prob. 16ESCh. 13.1 - Prob. 17ESCh. 13.1 - Prob. 18ESCh. 13.1 - Prob. 19ESCh. 13.1 - Prob. 20ESCh. 13.1 - Prob. 21ESCh. 13.1 - Prob. 22ESCh. 13.1 - Prob. 23ESCh. 13.1 - Prob. 24ESCh. 13.1 - Prob. 25ESCh. 13.1 - Prob. 26ESCh. 13.1 - Prob. 27ESCh. 13.1 - Prob. 28ESCh. 13.1 - Prob. 29ESCh. 13.1 - Prob. 30ESCh. 13.1 - Prob. 31ESCh. 13.1 - Prob. 32ESCh. 13.1 - Prob. 33ESCh. 13.1 - Prob. 34ESCh. 13.1 - Prob. 35ESCh. 13.1 - Prob. 36ESCh. 13.1 - Prob. 37ESCh. 13.1 - Prob. 38ESCh. 13.1 - Prob. 39ESCh. 13.1 - Prob. 40ESCh. 13.1 - Prob. 41ESCh. 13.2 - Prob. 1SRCh. 13.2 - Prob. 2SRCh. 13.2 - Prob. 1DECh. 13.2 - Prob. 2DECh. 13.2 - Prob. 3DECh. 13.2 - Prob. 4DECh. 13.2 - Prob. 1RCCh. 13.2 - Prob. 2RCCh. 13.2 - Prob. 3RCCh. 13.2 - Prob. 4RCCh. 13.2 - Prob. 1ESCh. 13.2 - Prob. 2ESCh. 13.2 - Prob. 3ESCh. 13.2 - Prob. 4ESCh. 13.2 - Prob. 5ESCh. 13.2 - Prob. 6ESCh. 13.2 - Prob. 7ESCh. 13.2 - Prob. 8ESCh. 13.2 - Prob. 9ESCh. 13.2 - Prob. 10ESCh. 13.2 - Prob. 11ESCh. 13.2 - Prob. 12ESCh. 13.2 - Prob. 13ESCh. 13.2 - Prob. 14ESCh. 13.2 - Prob. 15ESCh. 13.2 - Prob. 16ESCh. 13.2 - Prob. 17ESCh. 13.2 - Prob. 18ESCh. 13.2 - Prob. 19ESCh. 13.2 - Prob. 20ESCh. 13.2 - Prob. 21ESCh. 13.2 - Prob. 22ESCh. 13.2 - Prob. 23ESCh. 13.2 - Prob. 24ESCh. 13.2 - Prob. 25ESCh. 13.2 - Prob. 26ESCh. 13.2 - Prob. 27ESCh. 13.2 - Prob. 28ESCh. 13.2 - Prob. 29ESCh. 13.2 - Prob. 30ESCh. 13.2 - Prob. 31ESCh. 13.2 - Prob. 32ESCh. 13.2 - Prob. 33ESCh. 13.2 - Prob. 34ESCh. 13.2 - Prob. 35ESCh. 13.2 - Prob. 36ESCh. 13.2 - Prob. 37ESCh. 13.2 - Prob. 38ESCh. 13.2 - Prob. 39ESCh. 13.2 - Prob. 40ESCh. 13.2 - Prob. 41ESCh. 13.2 - Prob. 42ESCh. 13.2 - Prob. 43ESCh. 13.2 - Prob. 44ESCh. 13.2 - Prob. 45ESCh. 13.2 - Prob. 46ESCh. 13.2 - Prob. 47ESCh. 13.2 - Prob. 48ESCh. 13.2 - Prob. 49ESCh. 13.2 - Prob. 50ESCh. 13.2 - Prob. 51ESCh. 13.2 - Prob. 52ESCh. 13.2 - Prob. 53ESCh. 13.2 - Prob. 54ESCh. 13.2 - Prob. 55ESCh. 13.2 - Prob. 56ESCh. 13.3 - Prob. 1SRCh. 13.3 - Prob. 2SRCh. 13.3 - Prob. 1DECh. 13.3 - Prob. 2DECh. 13.3 - Prob. 3DECh. 13.3 - Prob. 4DECh. 13.3 - Prob. 5DECh. 13.3 - Prob. 6DECh. 13.3 - 7. Solve the system
Ch. 13.3 - Prob. 8DECh. 13.3 - Prob. 9DECh. 13.3 - Prob. 10DECh. 13.3 - Prob. 11DECh. 13.3 - Prob. 1RCCh. 13.3 - Prob. 2RCCh. 13.3 - Prob. 3RCCh. 13.3 - Prob. 4RCCh. 13.3 - Prob. 5RCCh. 13.3 - Prob. 6RCCh. 13.3 - Prob. 1ESCh. 13.3 - Prob. 2ESCh. 13.3 - Prob. 3ESCh. 13.3 - Prob. 4ESCh. 13.3 - Prob. 5ESCh. 13.3 - Prob. 6ESCh. 13.3 - Prob. 7ESCh. 13.3 - Prob. 8ESCh. 13.3 - Prob. 9ESCh. 13.3 - Prob. 10ESCh. 13.3 - Prob. 11ESCh. 13.3 - Prob. 12ESCh. 13.3 - Prob. 13ESCh. 13.3 - Prob. 14ESCh. 13.3 - Prob. 15ESCh. 13.3 - Prob. 16ESCh. 13.3 - Prob. 17ESCh. 13.3 - Prob. 18ESCh. 13.3 - Prob. 19ESCh. 13.3 - Prob. 20ESCh. 13.3 - Prob. 21ESCh. 13.3 - Prob. 22ESCh. 13.3 - Prob. 23ESCh. 13.3 - Prob. 24ESCh. 13.3 - Prob. 25ESCh. 13.3 - Prob. 26ESCh. 13.3 - Prob. 27ESCh. 13.3 - Prob. 28ESCh. 13.3 - Prob. 29ESCh. 13.3 - Prob. 30ESCh. 13.3 - Prob. 31ESCh. 13.3 - Prob. 32ESCh. 13.3 - Prob. 33ESCh. 13.3 - Prob. 34ESCh. 13.3 - Prob. 35ESCh. 13.3 - Prob. 36ESCh. 13.3 - Prob. 37ESCh. 13.3 - Prob. 38ESCh. 13.3 - Prob. 39ESCh. 13.3 - Prob. 40ESCh. 13.3 - Prob. 41ESCh. 13.3 - Prob. 42ESCh. 13.3 - Prob. 43ESCh. 13.3 - Prob. 44ESCh. 13.3 - Prob. 45ESCh. 13.3 - Prob. 46ESCh. 13.3 - Prob. 47ESCh. 13.3 - Prob. 48ESCh. 13.3 - Prob. 49ESCh. 13.3 - Prob. 50ESCh. 13.3 - Prob. 51ESCh. 13.3 - Prob. 52ESCh. 13.3 - Prob. 53ESCh. 13.3 - Prob. 54ESCh. 13.3 - Prob. 55ESCh. 13.3 - Prob. 56ESCh. 13.3 - Prob. 57ESCh. 13.3 - Prob. 58ESCh. 13.3 - Prob. 59ESCh. 13.3 - Prob. 60ESCh. 13.3 - Prob. 61ESCh. 13.3 - Prob. 62ESCh. 13.3 - Prob. 1MCRCh. 13.3 - Prob. 2MCRCh. 13.3 - Prob. 3MCRCh. 13.3 - Prob. 4MCRCh. 13.3 - Prob. 5MCRCh. 13.3 - Prob. 6MCRCh. 13.3 - Prob. 7MCRCh. 13.3 - Prob. 8MCRCh. 13.3 - Prob. 9MCRCh. 13.3 - Prob. 10MCRCh. 13.3 - Prob. 11MCRCh. 13.3 - Prob. 12MCRCh. 13.3 - Prob. 13MCRCh. 13.3 - Prob. 14MCRCh. 13.3 - Prob. 15MCRCh. 13.3 - Prob. 16MCRCh. 13.3 - Prob. 17MCRCh. 13.3 - Prob. 18MCRCh. 13.3 - Prob. 19MCRCh. 13.3 - Prob. 20MCRCh. 13.3 - Prob. 21MCRCh. 13.3 - Prob. 22MCRCh. 13.3 - Prob. 23MCRCh. 13.3 - Prob. 24MCRCh. 13.3 - Prob. 25MCRCh. 13.3 - Prob. 26UTDWCh. 13.3 - Prob. 27UTDWCh. 13.3 - Prob. 28UTDWCh. 13.3 - Prob. 29UTDWCh. 13.4 - Prob. 1SRCh. 13.4 - Prob. 2SRCh. 13.4 - Prob. 1DECh. 13.4 - Prob. 2DECh. 13.4 - Prob. 3DECh. 13.4 - Prob. 4DECh. 13.4 - Prob. 5DECh. 13.4 - Prob. 1RCCh. 13.4 - Prob. 2RCCh. 13.4 - Prob. 3RCCh. 13.4 - Prob. 4RCCh. 13.4 - Solve. Assignments. The professor teaching...Ch. 13.4 - Prob. 2ESCh. 13.4 - Prob. 3ESCh. 13.4 - Prob. 4ESCh. 13.4 - Prob. 5ESCh. 13.4 - Prob. 6ESCh. 13.4 - Prob. 7ESCh. 13.4 - Solve.
8. Basketball Scoring. Tony Parker of the...Ch. 13.4 - Prob. 9ESCh. 13.4 - Prob. 10ESCh. 13.4 - Prob. 11ESCh. 13.4 - Prob. 12ESCh. 13.4 - Prob. 13ESCh. 13.4 - Prob. 14ESCh. 13.4 - Prob. 15ESCh. 13.4 - Prob. 16ESCh. 13.4 - Prob. 17ESCh. 13.4 - Solve. Coffee Blends. The Java Joint wishes to mix...Ch. 13.4 - Prob. 19ESCh. 13.4 - Prob. 20ESCh. 13.4 - Prob. 21ESCh. 13.4 - Prob. 22ESCh. 13.4 - Prob. 23ESCh. 13.4 - Prob. 24ESCh. 13.4 - Prob. 25ESCh. 13.4 - Prob. 26ESCh. 13.4 - Prob. 27ESCh. 13.4 - Prob. 28ESCh. 13.4 - Prob. 29ESCh. 13.4 - Prob. 30ESCh. 13.4 - Prob. 31ESCh. 13.4 - Prob. 32ESCh. 13.4 - Prob. 33ESCh. 13.4 - Prob. 34ESCh. 13.4 - Prob. 35ESCh. 13.4 - Prob. 36ESCh. 13.4 - Prob. 37ESCh. 13.4 - Prob. 38ESCh. 13.4 - Prob. 39ESCh. 13.4 - Prob. 40ESCh. 13.4 - Prob. 41ESCh. 13.4 - Prob. 42ESCh. 13.4 - Prob. 43ESCh. 13.4 - Prob. 44ESCh. 13.4 - Prob. 45ESCh. 13.4 - Prob. 46ESCh. 13.4 - Prob. 47ESCh. 13.4 - Prob. 48ESCh. 13.4 - Prob. 49ESCh. 13.4 - Prob. 50ESCh. 13.4 - Prob. 51ESCh. 13.4 - Prob. 52ESCh. 13.4 - Prob. 53ESCh. 13.4 - Prob. 54ESCh. 13.4 - Automobile Maintenance. An automobile radiator...Ch. 13.4 - Prob. 56ESCh. 13.4 - Prob. 57ESCh. 13.5 - Prob. 1SRCh. 13.5 - Prob. 2SRCh. 13.5 - Prob. 1DECh. 13.5 - Prob. 2DECh. 13.5 - Prob. 3DECh. 13.5 - Prob. 4DECh. 13.5 - Prob. 1TFSCh. 13.5 - Prob. 2TFSCh. 13.5 - Prob. 3TFSCh. 13.5 - Prob. 4TFSCh. 13.5 - Prob. 5TFSCh. 13.5 - Prob. 6TFSCh. 13.5 - Prob. 7TFSCh. 13.5 - Prob. 8TFSCh. 13.5 - Prob. 9TFSCh. 13.5 - Prob. 10TFSCh. 13.5 - Prob. 1RCCh. 13.5 - Prob. 2RCCh. 13.5 - Prob. 3RCCh. 13.5 - Prob. 4RCCh. 13.5 - Prob. 1ESCh. 13.5 - Solve. In Exercises 1-6, complete the chart to aid...Ch. 13.5 - Prob. 3ESCh. 13.5 - Prob. 4ESCh. 13.5 - Prob. 5ESCh. 13.5 - Prob. 6ESCh. 13.5 - Prob. 7ESCh. 13.5 - Prob. 8ESCh. 13.5 - Prob. 9ESCh. 13.5 - Prob. 10ESCh. 13.5 - Prob. 11ESCh. 13.5 - Prob. 12ESCh. 13.5 - Prob. 13ESCh. 13.5 - Prob. 14ESCh. 13.5 - Prob. 15ESCh. 13.5 - Prob. 16ESCh. 13.5 - Prob. 17ESCh. 13.5 - Prob. 18ESCh. 13.5 - Prob. 19ESCh. 13.5 - Prob. 20ESCh. 13 - Complete each statement with the correct term from...Ch. 13 - Prob. 2VRCh. 13 - Prob. 3VRCh. 13 - Prob. 4VRCh. 13 - Prob. 5VRCh. 13 - Prob. 6VRCh. 13 - Prob. 1CORCh. 13 - Prob. 2CORCh. 13 - Prob. 3CORCh. 13 - Prob. 4CORCh. 13 - Prob. 1SGPECh. 13 - Prob. 2SGPECh. 13 - Prob. 3SGPECh. 13 - Prob. 4SGPECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Rectangle Dimensions....Ch. 13 - Prob. 24RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Window Cleaner. Clear...Ch. 13 - Solve. [ 13.2c ],[ 13.4a ] Weights of Elephants. A...Ch. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Solve.
32. Air Travel. An airplane flew for 4 hr...Ch. 13 - Solve. [ 13.5a ] Car Travel. One car leaves...Ch. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Ancient Chinese Math Problem. Several ancient...Ch. 13 - Prob. 1UTDWCh. 13 - Prob. 2UTDWCh. 13 - Prob. 3UTDWCh. 13 - Discuss the advantages of using a chart to...Ch. 13 - Prob. 1TCh. 13 - Prob. 2TCh. 13 - Prob. 3TCh. 13 - Prob. 4TCh. 13 - Prob. 5TCh. 13 - Prob. 6TCh. 13 - Prob. 7TCh. 13 - Prob. 8TCh. 13 - Prob. 9TCh. 13 - Prob. 10TCh. 13 - Solve.
11. Mixture of Solutions. Solution A is 25%...Ch. 13 - Prob. 12TCh. 13 - Solve.
13. Carnival Income. A traveling carnival...Ch. 13 - Prob. 14TCh. 13 - Prob. 15TCh. 13 - Prob. 16TCh. 13 - Prob. 17TCh. 13 - Prob. 18TCh. 13 - Prob. 19TCh. 13 - Prob. 20TCh. 13 - Prob. 21TCh. 13 - Prob. 22T
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- Practice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardProblem 1.We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…arrow_forwardWhat is the standard scores associated to the left of z is 0.1446arrow_forward
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