A teacher gives the class a test consisting of 10 multiple-choice questions, each with
five alternatives. Use simulation to estimate the probability that a student who guesses
the answer to every question gets at least five correct.

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

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.