EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 39, Problem 8A
Express each of the following problems as an algebraic expression.
The sum of a and 12.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider the diffusion equation with convection on the real line.
მu.
at
= K
J²u
მ2
მu.
+ C-
მე
u(0,x) = f(x)
(∞0>x>∞0-)
a) Take the Fourier Transform of the PDE and initial data with respect
tox and solve for u(t, w).
b) Using the fact that the inverse Fourier Transform of a Gaussian is
F(w) = e-aw²
f(x) =
-x²/(4α)
(a > 0)
write the solution u(t, x) to the convection equation as a convolution
of the initial data f(x) with an appropriate function. (HINT: You
should get a term like eicut in u. This should simply shift x to x + ct
in the final answer!)
The share price of the Peston Company can be modelled by a stochastic process with the property that the risk-neutral distribution
for the share price 4 years from now has density function
f(x) =
{
180-x
4050
if 90 ≤ x ≤ 180
otherwise
Suppose that interest is compounded continuously at nominal rate 4%. Determine the current price of a share of the Peston
Company. Enter your answer correct to the nearest penny, but do not enter the pound sign.
Answer:
Suppose that a share currently trades at £150 and each month thereafter either increases by 2% or decreases by 1%. Interest is
compounded continuously at rate 3% per year. Calculate the no-arbitrage price of one thousand European put options with strike
price £135 and expiry date one year from now. Enter your answer correct to the nearest penny, but do not enter the pound sign.
Answer:
Chapter 39 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 39 - Use the Table of BlockThicknesses of a Customary...Ch. 39 - Use a digital micrometer to measure the length and...Ch. 39 - Read the setting of the metric micrometer scale in...Ch. 39 - Use an electronic vernier caliper to measure the...Ch. 39 - Prob. 5ACh. 39 - 43 is 62% of what number? Round the answer to 2...Ch. 39 - Express each of the following problems as an...Ch. 39 - Express each of the following problems as an...Ch. 39 - Express each of the following problems as an...Ch. 39 - Express each of the following problems as an...
Ch. 39 - Express each of the following problems as an...Ch. 39 - Express each of the following problems as an...Ch. 39 - Express each of the following problems as an...Ch. 39 - In the part shown in Figure 39-9, all dimensions...Ch. 39 - Find the distance between the indicated points of...Ch. 39 - What are the lengths of the following dimensions...Ch. 39 - Stock is removed from a block in two operations....Ch. 39 - Given: In Figure 39-12, s is the length of a side...Ch. 39 - Substitute the given numbers for letters and find...Ch. 39 - Prob. 20ACh. 39 - Prob. 21ACh. 39 - Prob. 22ACh. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...Ch. 39 - For Exercises 23 through 34, round the answers to...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
- Prove in detail the following properties of the Fourier Sine and Cosine Transforms. These transforms are given by C[f](w) = Fc(w): S[f](w) = Fs(W) = 2 πT √ f(x) cos(wx) dx, 2 = f(x) sin(wx) dx. a) For any a > 0, we have the following. C[f(ax)](w) = — Fc (~) α 1 S[f(ax)](w) = ±F, (~2) α b) ō d C[xf](w) == dw F,(w) d S[xf](w) = -Fc(w) dw C[e](w) S[e](w) 2 1. = π 1+w2 2 w π 1+w2arrow_forwardSolve Laplace's Equation on a disk of radius R with the boundary data given below. Give explicit formulae for all integrals (i.e. evaluate all integrals). Au = 0 u(R, 0) = 0(2π- 0) π2 on 0≤0<2π NOTE: You must use the range of 0 given above to get the correct answers!arrow_forwardGiven the problem below, find the solution and check all the cases for the separtion constan.arrow_forward
- Suppose that a share follows a discrete time log-normal process with initial price £150, and parameters = 0.01 and o² = 0.025 The time-step is one year. Find the probability that a European put on the share with strike price £170 and expiry date 3 years will be exercised. Enter your answer as a decimal correct to two significant figures. Answer:arrow_forwardSelect a vehicle you would like to drive and state whether the vehicle is new or used. The value of the vehicle should be at least $10,000. Describe the vehicle by stating make, model, special features, colour, et cetera. Find the price of the vehicle. You may look for the price at a dealer, in a newspaper, on TV, on online, or source of your choice. Be sure to indicate the price and where you found the information. Assume that you have $5000 for a down payment, and that you will arrange a loan for the balance of the cost. Don’t forget to include taxes for Manitoba province. Check at a lending institution to find the interest rate you would get for a three-year or four-year car loan (your choice). Indicate which lending institution provided you with the interest rate. Calculate and state the monthly loan payment and provide support for your calculations. Calculate the total cost of buying the vehicle, including the down payment and the total cost of the loan. Be sure to show…arrow_forwardA share of Mason and Partners is currently priced at £110. After one time period the share price will either increase to £152 or decrease to £43. Assume that the interest rate is 3% per time period. Determine the no-arbitrage price of a European derivative on the share which has payoff £69 if the share price goes up and £48 if the share price goes down. Enter your answer correct to the nearest penny, but do not enter the pound sign. Answer:arrow_forward
- Let W be the subspace spanned by the given vectors. Find a basis for W. 1 0 -1 1 W1 = W2 = 8 -7 ↓1arrow_forwardLet P = 0.5 0.1 0.5 0.9 0.5 be the transition matrix for a Markov chain with two states. Let x0 = be the initial state vector for the population. 0.5 Find the steady state vector x. (Give the steady state vector as a probability vector.) x =arrow_forwardFind the orthogonal decomposition of V with respect to W. 1 v = -1 W = span 2 2 1 (CH4) 1 1 proj w(v) = = perpw(v) =arrow_forward
- Suppose the following data shows a company's annual revenue from 2008 (period 1) to 2017 (period 10) in billions of dollars. Year Period Annual Revenue ($ billions) 2008 1 $20.80 2009 2 $24.65 2010 3 $30.32 2011 4 $37.91 2012 5 $50.18 2013 6 $56.50 2014 7 $66.00 2015 8 $73.99 2016 9 $90.27 2017 10 $110.86 What type of pattern exists? The time series plot indicates a linear pattern. The time series plot indicates curvature in the data. The time series plot shows a cyclical pattern. The time series plot shows a horizontal pattern. (b) Develop a quadratic trend equation. (Round your numerical values to four decimal places.)arrow_forwardFind a least squares solution of Ax = b by constructing and solving the normal equations. = 21 1 1 b = --B-A 1 3 x =arrow_forwardShares of the Mile End Eel Company currently trade at a price of £50. Assume that the share evolves according to a log-normal process with drift μ 0.15 and volatility σ = 0.1. Interest is compounded continuously at nominal rate 5% per year. What is the no-arbitrage price of a European put on Mile End Eel Company shares with strike £70 and expiry date two years from now? Enter your answer correct to the nearest pound, but do not enter the pound sign. Answer:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Intermediate Algebra
Algebra
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
ALGEBRAIC EXPRESSIONS & EQUATIONS | GRADE 6; Author: SheenaDoria;https://www.youtube.com/watch?v=fUOdon3y1hU;License: Standard YouTube License, CC-BY
Algebraic Expression And Manipulation For O Level; Author: Maths Solution;https://www.youtube.com/watch?v=MhTyodgnzNM;License: Standard YouTube License, CC-BY
Algebra for Beginners | Basics of Algebra; Author: Geek's Lesson;https://www.youtube.com/watch?v=PVoTRu3p6ug;License: Standard YouTube License, CC-BY
Introduction to Algebra | Algebra for Beginners | Math | LetsTute; Author: Let'stute;https://www.youtube.com/watch?v=VqfeXMinM0U;License: Standard YouTube License, CC-BY