EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 39, Problem 8A

Express each of the following problems as an algebraic expression.

The sum of a and 12.

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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:
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Chapter 39 Solutions

EBK MATHEMATICS FOR MACHINE TECHNOLOGY

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