A rectangle with side lengths given in feet is located in the first quadrant of the xy-plane. It has its lower left corner located at the origin and upper right vertex at the point (x,y) belonging to the curve ?=1−19?2. We will to find the dimensions of the associated rectangle having the largest area possible. (a) Give the objective function (the function to me optimized) in terms of two variables. (b) Give the constraint/restriction, if there is one. (c) Give the objective function in terms of only one variable. (d) Use calculus to find the dimensions of the rectangle with the largest area possible.
restrictions are x>0&y>0
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