Explanation Given: The set of the equations is given as: x + 3 y − 6 z = 7 2 x − y + 2 z = 0 x + y + 2 z = − 1 Explanation: Set up the augmented matrix as: [ 1 3 − 6 7 2 − 1 2 0 1 1 2 − 1 ] Perform the operation R 1 ↔ R 2 . [ 2 − 1 2 0 1 3 − 6 7 1 1 2 − 1 ] The operation to be performed is R 2 → R 2 − 1 2 R 1 . [ 2 − 1 2 0 0 7 2 − 7 7 1 1 2 − 1 ] Perform the step R 3 → R 3 − 1 2 R 1 . [ 2 − 1 2 0 0 7 2 − 7 7 0 3 2 1 − 1 ] Perform the operation R 3 → R 3 − 3 7 R 2 . The matrix is obtained as: [ 2 − 1 2 0 0 7 2 − 7 7 0 0 4 − 4 ] Perform the step R 3 → 1 4 R 3 . The matrix is as follows: [ 2 − 1 2 0 0 7 2 − 7 7 0 0 1 − 1 ] Perform R 2 → R 2 + 7 R 3

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

12th Edition

ISBN: 9780134862668

Author: Lial, Margaret L.

Publisher: Pearson Education Canada

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Chapter 6.2, Problem 45E

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To calculate: The solution of the given system of the equation x+3y−6z=72x−y+2z=0x+y+2z=−1 with the use of Gauss-Jordan method.

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Chapter 6.2, Problem 44E

Chapter 6.2, Problem 46E

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For each month of the year, Taylor collected the average high temperatures in Jackson, Mississippi. He used the data to create the histogram shown. Which set of data did he use to create the histogram? A 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92\ 55,\ 60,\ 64,\ 72,\ 73,\ 75,\ 77,\ 81,\ 83,\ 91,\ 91,\ 92 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92 B 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91\ 55,\ 57,\ 60,\ 65,\ 70,\ 71,\ 78,\ 79,\ 85,\ 86,\ 88,\ 91 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91 C 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93\ 55,\ 60,\ 63,\ 64,\ 65,\ 71,\ 83,\ 87,\ 88,\ 88,\ 89,\ 93 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93 D 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91\ 55,\ 58,\ 60,\ 66,\ 68,\ 75,\ 77,\ 82,\ 86,\ 89,\ 91,\ 91 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91

In 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.)

Chapter 6 Solutions

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2 Use the elimination method to solve...Ch. 6.1 - Checkpoint 3 Solve the system of equations . Draw...Ch. 6.1 - Checkpoint 4 Solve the following system: Ch. 6.1 - Checkpoint 5 Solve the system Draw the graph of...Ch. 6.1 - Prob. 6CP Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...

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The solution of the given system of the equation x + 3 y − 6 z = 7 2 x − y + 2 z = 0 x + y + 2 z = − 1 with the use of Gauss-Jordan method.

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To calculate: The solution of the given system of the equation x+3y−6z=72x−y+2z=0x+y+2z=−1 with the use of Gauss-Jordan method.

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