Suppose u1, u2, un are independent random variables and for every i = 1, n, ui has a uniform distribution over [0, 1]. define z = min(u1, un). find the c. d.f. and the p. d.f of z.

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To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

Three times the sum of a number and seven is negative thirty-six. what is the number?