Thinking Mathematically (6th Edition)
6th Edition
ISBN: 9780321867322
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 14.2, Problem 5E
To determine
If the path is an Euler path or Euler circuit or neither.
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☐
Part 1:
A linear electrical load draws 1₁ A at a 0.72 lagging power factor. See the table to find ½ for your
student ID. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 1₁ and I₂
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, Ic = 12 − I₁, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (į (t)) and after (i2(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i̟2(t) − i₁ (t) using the theories of trigonometry to obtain the capacitor current
in the form, ic(t) = Icm sin(2πft + 0c). Compare the result with the result in Part b.
= x³, y = 8, x = 0.
Let R be the region bounded by the curves y = x³
1. Sketch the region and find the area. Write your answer in simplest fractional form.
2. Sketch the solid you obtain by rotating the region R about the x-axis.
3. Find the volume of the solid obtained by rotating the region R about the x-axis
using the disk/washer method. Write the formula you are using. Write your answer
in terms of π. Draw the approximating rectangle that you rotate.
4. Find the volume of the solid obtained by rotating the region R about the x-axis
using the shell method. Write the formula you are using. Write your answer in
terms of π. Draw the approximating rectangle that you rotate.
5. Which method did you find easier and why? [There is no wrong answer for what
you find easier, but explain.]
6. Sketch the solid you obtain by rotating the region R about the y-axis.
7. Find the volume of the solid obtained by rotating the region R about the y-axis
using the disk/washer method. Write the formula…
Chapter 14 Solutions
Thinking Mathematically (6th Edition)
Ch. 14.1 - CHECK POINT 1 Explain why Figures 14.4(a) and (b)...Ch. 14.1 - CHECK POINT 2 The city of Metroville is located on...Ch. 14.1 - Prob. 3CPCh. 14.1 - CHECK POINT 4 The floor plan of a four-room house...Ch. 14.1 - CHECK POINT 5 A security guard needs to walk the...Ch. 14.1 - CHECK POINT 6 List the pairs of adjacent vertices...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...
Ch. 14.1 - Prob. 5CVCCh. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Prob. 7CVCCh. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - In Exercises 7-8, explain why the two figures show...Ch. 14.1 - In Exercises 7-8, explain why the two figures show...Ch. 14.1 - Eight students form a math homework group. The...Ch. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - In Exercises 11-12, draw a graph that models the...Ch. 14.1 - In Exercises 13-14, create a graph that models the...Ch. 14.1 - In Exercises 13-14, create a graph that models the...Ch. 14.1 - In Exercises 15-18, draw a graph that models (he...Ch. 14.1 - In Exercises 15-18, draw a graph that models (he...Ch. 14.1 - In Exercises 15-18, draw a graph that models the...Ch. 14.1 - In Exercises 15-18, draw a graph that models the...Ch. 14.1 - In Exercises 19-20, a security guard needs to walk...Ch. 14.1 - In Exercises 19-20, a security guard needs to walk...Ch. 14.1 - In Exercises 21-22, a mail carrier is to walk the...Ch. 14.1 - In Exercises 21-22, a mail carrier is to walk the...Ch. 14.1 - In Exercises 23-33, use the following graph. Find...Ch. 14.1 - In Exercises 23-33, use the following graph....Ch. 14.1 - In Exercises 23-33, use the following graph. Which...Ch. 14.1 - In Exercises 23-33, use the following graph.
26....Ch. 14.1 - In Exercises 23-33, use the following graph.
27....Ch. 14.1 - In Exercises 23-33, use the following graph. Use...Ch. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - In Exercises 23-33, use the following...Ch. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph. Which...Ch. 14.1 - In Exercises 34-48, use the following graph. Which...Ch. 14.1 - In Exercises 34-48, use the following graph. Use...Ch. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph. Use...Ch. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph,...Ch. 14.1 - In Exercises 34-48, use the fallowing graph....Ch. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - In Exercises 34-48, use the following graph....Ch. 14.1 - Prob. 49ECh. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - What are equivalent graphs?Ch. 14.1 - Prob. 56ECh. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 60ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - Prob. 64ECh. 14.1 - Prob. 65ECh. 14.1 - Make Sense? In Exercises dd-d9, determine whether...Ch. 14.1 - Make Sense? In Exercises dd-d9, determine whether...Ch. 14.1 - Prob. 68ECh. 14.1 - Prob. 69ECh. 14.1 - Prob. 70ECh. 14.1 - Use the information in Exercise 10 to draw a graph...Ch. 14.1 - Prob. 72ECh. 14.1 - Prob. 73ECh. 14.1 - Prob. 74ECh. 14.2 - CHECK POINT I Refer to the graph in Figure 1423....Ch. 14.2 - Prob. 2CPCh. 14.2 - Prob. 3CPCh. 14.2 - Prob. 4CPCh. 14.2 - Prob. 1CVCCh. 14.2 - Prob. 2CVCCh. 14.2 - Prob. 3CVCCh. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Prob. 6CVCCh. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Prob. 8CVCCh. 14.2 - Prob. 9CVCCh. 14.2 - Prob. 10CVCCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - In Exercises 1-6, use the graph shown. In each...Ch. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - In Exercises 7-8, a graph is given. a. Explain why...Ch. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - In Exercises 11-12, a graph is given. Explain why...Ch. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Prob. 15ECh. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Prob. 17ECh. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 41-44, a graph is given. a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given. a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given.
a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given.
a. Modify...Ch. 14.2 - Prob. 45ECh. 14.2 - In Exercises 45-18, we revisit the four-block;...Ch. 14.2 - Prob. 47ECh. 14.2 - In Exercises 45-48, we revisit the four-block,...Ch. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - In Exercises 51-52, the layout of a city with land...Ch. 14.2 - In Exercises 51-52, the layout of a city with land...Ch. 14.2 - Prob. 53ECh. 14.2 - In Exercises 54-55, a floor plan is shown.
a. Draw...Ch. 14.2 - In Exercises 54-55, a floor plan is shown.
a. Draw...Ch. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - In Exercises 50-60, a map is shown. a. Draw a...Ch. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - Make Sense? In Exercises 69-72, determine whether...Ch. 14.2 - Prob. 70ECh. 14.2 - Prob. 71ECh. 14.2 - Make Sense? Zn Exerciser 69-72, determine whether...Ch. 14.2 - Prob. 73ECh. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.3 - CHECK POINT I a. Find a Hamilton path that begins...Ch. 14.3 - Prob. 2CPCh. 14.3 - CHECK POINT 3 Use the weighted graph in Figure...Ch. 14.3 - Prob. 4CPCh. 14.3 - Prob. 5CPCh. 14.3 - Prob. 1CVCCh. 14.3 - Prob. 2CVCCh. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Prob. 4CVCCh. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Prob. 7CVCCh. 14.3 - Prob. 8CVCCh. 14.3 - Prob. 1ECh. 14.3 - In Exercises 1-4, use the graph shown.
2. Find a...Ch. 14.3 - Prob. 3ECh. 14.3 - In Exercises 1-4, use the graph shown.
4. Find a...Ch. 14.3 - Prob. 5ECh. 14.3 - In Exercises 5-8, use the graph shown.
6. Find a...Ch. 14.3 - Prob. 7ECh. 14.3 - In Exercises 5-8, use the graph shown. Find a...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-4, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14,
a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14,
a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the comple\te, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - Practice Plus
In Exercises 35-38, a graph is...Ch. 14.3 - Practice Plus
In Exercises 35-3S, a graph is...Ch. 14.3 - Practice Plus
In Exercises 35-38, a graph is...Ch. 14.3 - Practice Plus In Exercises 35-38, a graph is...Ch. 14.3 - Application Exercises In Exercises 39-40, a sales...Ch. 14.3 - Prob. 40ECh. 14.3 - Use the map to fill in the three missing weights...Ch. 14.3 - Prob. 42ECh. 14.3 - Using the Brute Force Method, the optimal solution...Ch. 14.3 - 44. Use the Nearest Neighbor Method to find an...Ch. 14.3 - In Exercises 45-47, you have three errands to run...Ch. 14.3 - In Exercises 45-47, you have three errands to run...Ch. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - Prob. 53ECh. 14.3 - Prob. 54ECh. 14.3 - Prob. 55ECh. 14.3 - 56. Why is the Brute Force Method impractical for...Ch. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - 59. An efficient solution for solving traveling...Ch. 14.3 - Make Sense? In Exercises60-63, determine whether...Ch. 14.3 - Prob. 61ECh. 14.3 - Prob. 62ECh. 14.3 - Make Sense? In Exercises 60-63, determine whether...Ch. 14.3 - Prob. 64ECh. 14.3 - Ambassadors from countries A, B, C, D, E, and F...Ch. 14.3 - 66. In this group exercise, you will create and...Ch. 14.4 - CHECK POINT I Which graph in Figure 14.51 is a...Ch. 14.4 - Prob. 2CPCh. 14.4 - Prob. 3CPCh. 14.4 - Prob. 1CVCCh. 14.4 - Prob. 2CVCCh. 14.4 - Prob. 3CVCCh. 14.4 - Prob. 4CVCCh. 14.4 - Prob. 5CVCCh. 14.4 - Prob. 6CVCCh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - A college campus plans to provide awnings above...Ch. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Make Sense? In Exercises52-55, determine whether...Ch. 14.4 - Prob. 53ECh. 14.4 - Make Sense? In Exercises52-55, determine whether...Ch. 14.4 - Prob. 55ECh. 14.4 - Prob. 56ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14 - Prob. 1TCh. 14 - Prob. 2TCh. 14 - In Exercises 1-4, use the following graph. Use...Ch. 14 - Prob. 4TCh. 14 - Prob. 5TCh. 14 - Prob. 6TCh. 14 - Prob. 7TCh. 14 - Prob. 8TCh. 14 - Prob. 9TCh. 14 - 10. a. Draw a graph that models the layout of the...Ch. 14 - Prob. 11TCh. 14 - Prob. 12TCh. 14 - 13 Find two Hamilton circuits in the graph shown....Ch. 14 - Prob. 14TCh. 14 - Prob. 15TCh. 14 - Prob. 16TCh. 14 - Prob. 17TCh. 14 - Prob. 18TCh. 14 - Prob. 19TCh. 14 - Prob. 20TCh. 14 - Explain why the two figures show equivalent...Ch. 14 - In Exercises 2-8, use the following graph.
2....Ch. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - In Exercises 13-15, a graph is given.
a. Determine...Ch. 14 - In Exercises 13-15, a graph is given.
a. Determine...Ch. 14 - Use Fleury’s Algorithm to find an Euler path.Ch. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - Refer to Exercise 11. Use your graph to determine...Ch. 14 - Refer to Exercise 12. a. Use your graph to...Ch. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - For each graph in Exercises 24-27
a. Determine if...Ch. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Use the Nearest Neighbor Method to find a Hamilton...Ch. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - 41. A fiber-optic cable system is to be installed...
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