A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Chapter 10, Problem 10.13P
To determine
To Prove: The
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A curve C is the boundary of a shaded region D which defined by y = 2x-4 and y = 2x
in counter-clockwise orientation. Sketch the curve C, hence by using Green's theorem,
evaluate the integral fle - y')dx+(2x +3) dy. (ans:3.6)
3)
c) i) Use Green's theorem to show that the area bounded by a simple closed curve c is given by
Area = [(-y,0). dr
ii) Find the area bounded by r(t) = (cost, sint cost), -1/2 < t < π/2.
Let z = g(x, y) = f(3 cos(xy), y + e") provided that f(3, 4) = 4, f1(3, 4) = 2, f2(3, 4) = 4.
%3D
i) Find g1 (0, 3).
i) Find g2 (0, 3).
i) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e#') at the point (0, 3).
Türkçe: f(3, 4) = 4, f1(3, 4) = 2, f2(3, 4) = 4 olmak üzere z = g(x, y) = f(3 cos(xy), y + e™") olsun.
%3D
%3D
i) 91 (0, 3) değerini bulunuz.
ii) 92 (0, 3) değerini bulunuz.
iII) z =
f(3 cos(ry), y + e#") yüzeyine (0, 3) noktasında teğet düzlemin denklemini bulunuz.
O i) 12, ii) 4, iii) 12x + 4y - z = 8
i) 12, ii) 4, ii) 12x - 4y - z = 0
O i) 12, ii) 12, iii) 12x + 12y + z = 32
O i) 36, ii) 4, iii) 36x - 4y - z = -28
O i) -24, ii) 12, iii) -24x + 12y + z = -16
) 36, i) -8, ii) 3бх -8y - z3D -16
O i) -12, ii) -8, iii) -12x -8y - z = 8
О) -24, i) 16, i) -24x + 16у -z%3D 8
Chapter 10 Solutions
A First Course in Probability (10th Edition)
Ch. 10 - The following algorithm will generate a random...Ch. 10 - Prob. 10.2PCh. 10 - Give a technique for simulating a random variable...Ch. 10 - Present a method for simulating a random variable...Ch. 10 - Use the inverse transformation method to present...Ch. 10 - Give a method for simulating a random variable...Ch. 10 - Let F be the distribution functionF(x)=xn0x1 a....Ch. 10 - Prob. 10.8PCh. 10 - Suppose we have a method for simulating random...Ch. 10 - Prob. 10.10P
Ch. 10 - Use the rejection method with g(x)=1,0x1, to...Ch. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14PCh. 10 - Prob. 10.15PCh. 10 - Let X be a random variable on (0, 1) whose density...Ch. 10 - Prob. 10.1STPECh. 10 - Prob. 10.2STPECh. 10 - Prob. 10.3STPECh. 10 - If X is a normal random variable with mean and...Ch. 10 - Prob. 10.5STPE
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