For the following function: f(t) = 5+2 cos(2πt - 90) + 3cos4πt Let us sample the signal f (t) at 4 times per second (f = 4 Hz) for (t = 0 →³). The value of discrete samples are given by: f(k) = 5 + 2 cos(k − 90) + 3cosnk

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 if x < 0; x^2/25 if 0 <= x < 5; and 1 if x >= 5. Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (g) Calculate V(X) and σx. (Answer is not 1.391.)  (h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].

The linear approximation to the function f(x) L(x) = A + Bx where A is: = = cos(6x) at a = π/2 is and where B is:

What would the point of inflection at x be?