An object dropped from rest from the top of a tall building on Planet X falls a distance d (t )equals 8 t squared feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t 1equals2 to t 2equals5. This rate is known as the average velocity, or speed. The average velocity as t changes from 2 to 5 seconds is nothing StartFraction feet Over sec EndFraction .

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