A guinea pig owner has 21 m of chicken wire. She wishes to construct an outdoor rectangular enclosure next to her garage with a total area of 11 square metres, subdivided into four equal regions. She will use
the chicken wire to separate and enclose each of the regions. Sketch and label the scenario. Find the
overall length and width of the enclosure so that the length is less than 5.3 metres.

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