MATLAB: An Introduction with Applications
5th Edition
ISBN: 9781118629864
Author: Amos Gilat
Publisher: WILEY
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Chapter 5, Problem 24P
The position x as a function of time of a particle that moves along a straight line is given by:
The velocity v(t) of the particle is determined by the derivative of x(t) with respect to t, and the acceleration a(t) is determined by the derivative of v(t) with respect to t.
Derive the expressions for the velocity and acceleration of the particle, and make plots of the position, velocity, and acceleration as
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Students have asked these similar questions
One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.
Preference
Male
Female
TOTAL
Prefers dogs
\[36\]
\[20\]
\[56\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
problem 1
Find the probability that a randomly selected student prefers dogs.Enter your answer as a fraction or decimal.
\[P\left(\text{prefers dogs}\right)=\]
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Preference
Male
Female
TOTAL
Prefers dogs
\[\blueD{36}\]
\[\blueD{20}\]
\[\blueE{56}\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
There were \[\blueE{56}\] students in the sample who preferred dogs out of \[100\] total students.
Business discuss
You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below.
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship.
Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size).
Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear regression model.
Interpret the…
Chapter 5 Solutions
MATLAB: An Introduction with Applications
Ch. 5 - Prob. 1PCh. 5 - Plot the function fx=3cosxsinxe0.2x for 4x9 .Ch. 5 - Plot the function fx=x22+sinx+x4 for 4x4 .Ch. 5 - Plot the function fx=x32x210sin2xe0.9x and its...Ch. 5 - Make two separate plots of the function...Ch. 5 - Use the fplot command to plot the function...Ch. 5 - Plot the function fx=sin2xcos2x ad its derivative,...Ch. 5 - Make a plot of a circle with its center at (4.2,...Ch. 5 - A parametric equation is given by...Ch. 5 - Two parametric equation are given by:...
Ch. 5 - Plot the function fx=x25x12x2x6 in the domain 1x7...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - An epicycloid is a curve (shown partly in the...Ch. 5 - The shape of the pretzel shown is given by...Ch. 5 - Prob. 16PCh. 5 - Plot an ellipse with major axes of a = 10 and b =...Ch. 5 - The following data gives the approximate...Ch. 5 - The force F (in N) acting between a particle with...Ch. 5 - Prob. 20PCh. 5 - Consider the motion of the squirrel in the...Ch. 5 - The curvilinear motion of a particle is defined by...Ch. 5 - The demand for water during a fire is often the...Ch. 5 - The position x as a function of time of a particle...Ch. 5 - The area of the aortic valve, AVin cm2, can be...Ch. 5 - A bandpass filter passes signals with frequencies...Ch. 5 - A resistor, R = 4O, and an inductor, L = 1.3 H,...Ch. 5 - In a typical tension test a dog bone shaped...Ch. 5 - According to special relativity, a rod of length L...Ch. 5 - The shape of a symmetrical four-digit NACA airfoil...Ch. 5 - The ideal gas law relates the pressure P, volume...Ch. 5 - The be vibrations of the body of a helicopter due...Ch. 5 - A railroad bumper is designed to slow down a...Ch. 5 - Consider the diode circuit shown in the figure....Ch. 5 - Prob. 35PCh. 5 - A simply supported beam is subjected to...Ch. 5 - Biological oxygen demand (BOD) is a measure of the...Ch. 5 - The temperature dependence of the diffusion...Ch. 5 - The resonant frequency f (in Hz) for the circuit...Ch. 5 - The Taylor series for cos(x) is:...
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- Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. How to take snapshots: if you use a MacBook, press Command+ Shift+4 to take snapshots. If you are using Windows, use the Snipping Tool to take snapshots. Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Value of correlation coefficient: Direction of the relationship (positive, negative, or zero relationship): Strength of the relationship (strong/moderate/weak): Question 2: Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size. (The answer for the…arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forward
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