Let Y have the density f(y) T(a+B) ya-1 T(a)r(8) (1+y)ª+ß" y > 0, determine E(Y) and E(Y²).
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- A pulse (gas) travelling along a fine straight uniform tube filled with gas causes the density at any time t and distance x from the origin where the velocity is u₁ to become poo(vt - x). Prove that the velocity u (at time t and distance x from the origin) is given by V + (u。 − v) þ (vt) o(vt - x)Find the linearization of f (x, y)=e"*. at (0, 7 / 2).Given a function f(x, Y, z) = ry²z³ +z²yln (zz) – z'y? +4, find: of (1,2, 1) = (1,2, 1) (1,2, 1) = (1, 2, 1) =