Three people, X, Y, Z, in order roll an ordinary die. The first one to roll...

Three people, X, Y, Z, in order roll an ordinary die. The first one to roll an even number wins. The game continues until someone rolls an even number. Determine the probability that either Y or Z will win.

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orchestra answered 3 years ago

If X, Y and Z are three arbitrary vectors, prove these identities: a. (X×Y).Z = X.(Y×Z)...

If X, Y and Z are three arbitrary vectors, prove these identities: a. (X×Y).Z = X.(Y×Z) b. X×(Y×Z) = (X.Z)Y – (X.Y)Z c. X.(Y×Z) = -Y.(X×Z)

Write down expressions for the first-order partial derivatives, ?z and ?z for ?x ?y (a)z=x2 +4y5...

Write down expressions for the first-order partial derivatives, ?z and ?z for ?x ?y (a)z=x2 +4y5 (b)z=3x3 ?2ey (c)z=xy+6y (d)z=x6y2 +5y3

1) If x, y, z are consecutive integers in order then 9 | (x+y+z) ⟺ 3...

1) If x, y, z are consecutive integers in order then 9 | (x+y+z) ⟺ 3 | y. (Do proof) 2) Let x, y be consecutive even integers then (x+y) is not divisible by 4. (Show proof and state why it was used)

You roll a balanced die two times. Is the second roll independent of the first roll?

Let z=e^(x) tan y. a. Compute the first-order partial derivatives of z. b. Compute the second-order...

Let z=e^(x) tan y. a. Compute the first-order partial derivatives of z. b. Compute the second-order partial derivatives of z. c.∗ Convert z = f(x,y) into polar coordinates and then compute the first- order partial derivatives fr and fθ by directly differentiating the com- posite function, and then using the Chain Rule.

The newest invention is a three-sided die. On any roll of this die, the result is...

The newest invention is a three-sided die. On any roll of this die, the result is 1 with probability 1/2, 2 with probability 1/4, and 3 with probability 1/4. Consider a sequence of six independent rolls of this die. A. Find the probability that exactly two of the rolls result in a 3. B. Given that exactly two of the six rolls resulted in a 1, find the probability that the first roll resulted in a 1. C. We are...

The full three-dimensional Schrödinger equation is −ℏ22m(∂2∂x2ψ(x,y,z)+∂2∂y2ψ(x,y,z)+∂2∂z2ψ(x,y,z))+U(x,y,z)ψ(x,y,z)=Eψ(x,y,z). By using the substitutions from the introduction, this becomes...

The full three-dimensional Schrödinger equation is −ℏ22m(∂2∂x2ψ(x,y,z)+∂2∂y2ψ(x,y,z)+∂2∂z2ψ(x,y,z))+U(x,y,z)ψ(x,y,z)=Eψ(x,y,z). By using the substitutions from the introduction, this becomes −ℏ22m(∂2∂x2ψxψyψz+∂2∂y2ψxψyψz+∂2∂z2ψxψyψz)+(Ux+Uy+Uz)ψxψyψz=Eψxψyψz What is ∂2∂x2ψxψyψz? To make entering the expression easier, use D2x in place of d2ψxdx2, D2y in place of d2ψydy2, and D2z in place of d2ψzdz2. Answer in terms of ψx,ψy,ψz,D2x,D2y,andD2z

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Three people, X, Y, Z, in order roll an ordinary die. The first one to roll...

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