A1) We will approximate the extrema of f(x, y) - x2 +y2 + xy +x +1 subject to the constraint ar2 +4y2-4 graphically (a) Open this Desmos demonstration. Notice that the blue oval shape is the graph of f(x,y)-C. Drag the slider for c back and forth and observe the changes. What do each of the blue oval shapes represent? (b) Turn on the graph of the constraint24y24 by clicking the gray circle to the left of the equation. Using the slider for c, find four approximate values of c where the blue ovals seem to be tangent to the constraint graph (c) Which of the four values of c represents the max of f(x, y)? Which represents the min? (d) Using Mathematica, Geogebra.org's 3D grapher, or some other tool, produce a 3D graph of f(x, y) and the constraint. Print or draw the graph, and then label the max and min on the graph. Submit the marked graph with your homework. A1) We will approximate the extrema of f(x, y) - x2 +y2 + xy +x +1 subject to the constraint ar2 +4y2-4 graphically (a) Open this Desmos demonstration. Notice that the blue oval shape is the graph of f(x,y)-C. Drag the slider for c back and forth and observe the changes. What do each of the blue oval shapes represent? (b) Turn on the graph of the constraint24y24 by clicking the gray circle to the left of the equation. Using the slider for c, find four approximate values of c where the blue ovals seem to be tangent to the constraint graph (c) Which of the four values of c represents the max of f(x, y)? Which represents the min? (d) Using Mathematica, Geogebra.org's 3D grapher, or some other tool, produce a 3D graph of f(x, y) and the constraint. Print or draw the graph, and then label the max and min on the graph. Submit the marked graph with your