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Get Full Access to Matlab: An Introduction With Applications - 5 Edition - Chapter 11 - Problem 25
Get Full Access to Matlab: An Introduction With Applications - 5 Edition - Chapter 11 - Problem 25

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# The Maxwell-Boltzmann probability density function f(v) is given byf(v) =

ISBN: 9781118629864 448

## Solution for problem 25 Chapter 11

MATLAB: An Introduction with Applications | 5th Edition

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Problem 25

The Maxwell-Boltzmann probability density function f(v) is given byf(v) = v2exp(-2fJwhere m (kg) is the mass of each molecule, v (m/s) is the speed, T (K) is thetemperature, and k = 1.38 x 10-23 J/K is Boltzmann's constant. The mostprobable speed v P corresponds to the maximum value of f( v) and can bedetermined from d) = 0. Create a symbolic expression for f(v), differentiateit with respect to v and show that vP = . Calculate vP for oxygenmolecules (m = 5.3 x 10-26 kg) at T = 300 K (k = 1.38 x 10-23 J/K). Make aplot of f( v) versus v for 0 v 2500 m/s for oxygen molecules

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Lecture 2- Johnson  Factor: o x + 6x + 8  (x+4)(x+2) 2 o x – 64  (x+8)(x-8) o x – 5x -14  (x-7)(x-2) o 4x – 100  4(x – 25)  4(x-5)(x+5)  Difference and Sum of Perfect Cubes (S.O.A.P) 3 3 2 2 o A – B = (A – B) (A + AB + B )  x -64  (x-4)(x + 4x +16) o A + B = (A + B)(A - AB + B ) 2  x – 1 (x+1)(x -x+1) 3  What can you exclude from the domain of x x ≠ 0 3x o x−2 ,x ≠ 2 9x ,x≠3,−6 o x +3x−18  Simplify 2 (x+1 )x−1 ) x −1 → →x≠−1→ x−1 o x +2x+1 (x+1 )x+1 ) x+1 x+3 x

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