Plot the 12 values on a graph. The points should create a periodic pattern. Assume that the data is, in fact, periodic and use the graph to determine Vertical Shift, Horizontal Shift, Amplitude, Period, Domain, Range.

Then using the data create an equation for sine function and for a cosine function

Points

39,42,50,62,72,80,86,84,77,66,55,44

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