Find x = that minimizes q(x) = x² – xy + y² subject to %3D the condition ||x|| = 1 , %3D
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- What value of x minimizes C = 0.005x2 provided that C must be positive and x is within (0,1)Find two positive numbers x and y with xy=81 such that x+4y is minimized.Suppose that X and Y are independent measurement of a quantity μ. E(X) = E(Y) = μ, σX ≠ σY, Z = αX + (1 - α)Y, α ∈ [0, 1] (a) Show that E(X) = μ. (b) Find α in terms of σX and σY to minimize V(Z). (c) Under what circumstance is it better to use the average (X+Y)/2 than either X or Y alone?
- a) Find the marginal pmfs of X and Y b) Find the conditional pmf of X given Y = 1Determine the value of x within the interval (0, 1)that minimizes the function f = (x – 1)(x – 2.5)to within ± 0.025 by the Fibonacci search method.Determine the value of x within the interval (0, 1) that minimizes the function f = (x –1)(x –2.5) to within ± 0.025 by .(a) the Fibonacci method and (b) the golden section method.
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