1. The problem statement, all variables and given/known data ind the absolute minimum value of the function f(x,y) = 6 + 3xy -2x- 4y on the set D. D is bounded by the parabola y=x^2 and y=4 2. Relevant equations Partial derivatives and a theorem where if F is continuous on a closed bounded set in R(2) then F has an abs. max and abs. minimum 3. The attempt at a solution 3 I found the partial derivative in accordance to x and y: Fx=3y-2 Fy=3x-4 I found the critical points ( when Fx and Fy = 0) being (4/3 3/2). However, I get stuck when sketching the graph. I am used to sketching a square/ rectangle ( with the boundaries) and dividing it into 4 lines and solving for each with my function. In this I get: F(x,x^2)= 6+x^3-2x-4x^2 but then I don't know how to find the smallest value for that, as my x is good for all real numbers no?