1) (,,)

2) (,,)

3) (,,)

4) (,,)

Find the exact extreme values of the function 3f[x,y}3x2 2..'":3,I'-l-1:L,l2 5.7: 20yl13 subject to the Following constraints: 0 E x i 5 Oiy Start by listing all nine candidates, Including their 2 values, In the form (x,y,z}: First, list the four comer points and order your answers from smallest to largest x, then from smallest to largest y. 1H. . . ) 2H ) 31E . . ) 41E . . ) Next find the critical point. 5)E..) Lastly, nd the four boundary points and order your answers from smallest to largest x, then from smallest to largest y. 6H. . . ) 7H J 3H. . . ) 91E . . ) Finally, nd the extreme values: fmm = at (x,y) ={ , ) fmaJ = at (X') 2 ( r ) Note that since this is a closed and bounded feasibllltv reolon. we are uuaranteed both an absolute maximum and absolute minimum value ofthe function on the reolon. Find the exact extreme values of the function ::= (Ly) =[x5)2+{y2)2+39 sublect to the following constraints: 0 g 1' g 19 0 S y S 10 Start by listing all nine candidates, Including their: values, In the form (x.y.z): First, list the four corner points and order your answers from smallest to largest x, then from smallest to largest y. 1H . . ) 2H ) 3H . . ) 4H . . ) Next find the critical point. 5\" ) Lastly, nd the four boundary points and order your answers from smallest to largest x, then from smallest to largest y. 6H . . ) 7H . . ) 3H . . ) 9H . . ) Finally, nd the extreme values: fma'n = at {x,y) = ( , ) fm= at