12. + -/ scalcet8 4.7 .tec.001 my notes ask your t instructions for simulation open the simulation tab below and click the link to launch the simulation. the menu lists six problems. clicking on one of the problems displays the problem statement along with a diagram. you then have the opportunity to explore different scenarios for the problem numerically and graphically, after which you can make an initial estimate of the solution. when you are ready to compute the solution analytically, hints are provided to guide you. area of a rectangle in an ellipse after reading the problem statement, click the numerical exploration button to display an interactive diagram of the upper haf of an ellipse with an inscribed rectangle. drag the a and b slider handles, click on a slider bar, or click on a number next to a slider to change the values in the equation of the ellipse. similarly, use the x slider to control the width of the inscribed rectangle. the area of the rectangle is displayed and updated as you change the values of a, b, orx click the graph area button to display a graph of the rectangle's area a(x) as a function of x as well as the area for the current value of x (represented by a green dot on the graph) when you are ready to solve the problem analytically, click on the hints for analytical solution button to display a sequence of hints to guide you.