Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 5T
Find angle C in Illustration1.
ILLUSTRATION 1
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1
x2 x3
81 82
83
84
81
-2 0
1 1 0
0
0
3
82
3 0
-2 0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0 -1
1
4
-2 -2 0
11
0
0-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau, and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize ₁ - 2x2+x34x4
subject to 2x1+x22x3x41,
5x1 + x2-x3-×4 ≤ −1,
2x1+x2-x3-34
2,
1, 2, 3, 40.
9. An elementary single period market model contains a risk-free asset with interest rate
r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price
10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff
h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0).
Total [8 Marks]
Chapter 14 Solutions
Elementary Technical Mathematics
Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9ECh. 14.1 - Find each value rounded to four significant...
Ch. 14.1 - Prob. 11ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 13ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 15ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Graph each equation for values of x between 0 and...Ch. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - A radar unit operates at a wavelength of 3.4 cm....Ch. 14.1 - A local AM radio station broadcasts at 1400 kHz....Ch. 14.1 - Prob. 35ECh. 14.1 - Find the wavelength of water waves with frequency...Ch. 14.1 - Radio antennas are made so that the...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 5ECh. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Find the period amplitude, and phase shift, and...Ch. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Find the distance AC across the river shown in...Ch. 14.3 - Find the lengths of rafters AC and BC of the roof...Ch. 14.3 - Find the distance AB between the ships shown in...Ch. 14.3 - Find the height of the cliff shown in Illustration...Ch. 14.3 - A contractor needs to grade the slope of a...Ch. 14.3 - A weather balloon is sighted from points A and B,...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 11ECh. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 16ECh. 14.4 - The owner of a triangular lot wishes to fence it...Ch. 14.4 - The average distance from the sun to the earth is...Ch. 14.4 - A manufacturer has moved into a new building and...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 3ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 5ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - Prob. 13ECh. 14.5 - a. Find angles A and ABC in the roof in...Ch. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - A plane flies 70.0 mi due north from its base...Ch. 14.5 - Prob. 18ECh. 14.5 - Prob. 19ECh. 14.5 - Prob. 20ECh. 14.5 - A room is shaped like a kite. The lengths of two...Ch. 14.5 - Prob. 22ECh. 14.5 - Prob. 23ECh. 14.5 - In the framework shown in Illustration 8, we know...Ch. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - An 8.00-ft antenna must be mounted on the roof of...Ch. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - A game preserve manager is fencing the triangular...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Prob. 3RCh. 14 - Prob. 4RCh. 14 - Prob. 5RCh. 14 - Find the period and amplitude, and graph at least...Ch. 14 - Prob. 7RCh. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Prob. 9RCh. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Find a. angle B and b. length x in Illustration 2....Ch. 14 - The centers of five holes are equally spaced...Ch. 14 - In the roof truss in Illustration 3, AB=DE,BC=CD,...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Find angle B in Illustration 1 ILLUSTRATION 1Ch. 14 - Find angle C in Illustration1. ILLUSTRATION 1Ch. 14 - Find side c in Illustration 1. ILLUSTRATION 1Ch. 14 - Find angle C in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle B in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle A in Illustration 2. ILLUSTRATION 2Ch. 14 - Find the length of the rafter shown in...Ch. 14 - Prob. 11TCh. 14 - Prob. 1CRCh. 14 - Prob. 2CRCh. 14 - Prob. 3CRCh. 14 - Prob. 4CRCh. 14 - Prob. 5CRCh. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Solve: 7xy=414x2y=8Ch. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 15CRCh. 14 - Prob. 16CRCh. 14 - Prob. 17CRCh. 14 - Prob. 18CRCh. 14 - Prob. 19CRCh. 14 - Find tan67.2 rounded to four significant digits.Ch. 14 - Prob. 21CRCh. 14 - Prob. 22CRCh. 14 - Prob. 23CRCh. 14 - Prob. 24CRCh. 14 - Prob. 25CRCh. 14 - Prob. 26CRCh. 14 - Prob. 27CRCh. 14 - Prob. 28CRCh. 14 - Prob. 29CRCh. 14 - Prob. 30CR
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 8. An elementary single period market model has a risky asset with price So = 20 at the beginning and a money market account with interest rate r = 0.04 compounded only once at the end of the investment period. = = In market model A, S₁ 10 with 15% probability and S₁ 21 with 85% probability. In market model B, S₁ = 25 with 10% probability and S₁ = 30 with 90% probability. For each market model A, B, determine if the model is arbitrage-free. If not, construct an arbitrage. Total [9 Marks]arrow_forwardb) Solve the following linear program using the 2-phase simplex algorithm. You should give the initial tableau, and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize ₁ - 2x2+x34x4 subject to 2x1+x22x3x41, 5x1 + x2-x3-×4 ≤ −1, 2x1+x2-x3-34 2, 1, 2, 3, 40.arrow_forwardSuppose we have a linear program in standard equation form maximize cTx subject to Ax = b. x ≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.arrow_forward
- a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? x1 x2 x3 81 82 83 84 81 -2 0 1 1 0 0 0 3 82 3 0 -2 0 1 2 0 6 12 1 1 -3 0 0 1 0 2 84 -3 0 2 0 0 -1 1 4 -2 -2 0 11 0 0-4 0 -8arrow_forwardMicrosoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADOarrow_forwardThe spread of an infectious disease is often modeled using the following autonomous differential equation: dI - - BI(N − I) − MI, dt where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of transmission, and μ is the rate at which people recover from infection. Close a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria. b) (5 points) For the equilbria in part a), determine whether each is stable or unstable. c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the dt function by hand.) Identify the equilibria as stable or unstable in the graph. d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.arrow_forward
- Question 1: Evaluate the following indefinite integrals. a) (5 points) sin(2x) 1 + cos² (x) dx b) (5 points) t(2t+5)³ dt c) (5 points) √ (In(v²)+1) 4 -dv ขarrow_forwardSuppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?arrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
01 - Angles and Angle Measure in Degrees - Part 1 - Types of Angles & What is an Angle?; Author: Math and Science;https://www.youtube.com/watch?v=hy95VyPet-M;License: Standard YouTube License, CC-BY