Assignment:
The plane 4x-3y+8z=5 intersects the cone Z^2=x^2 + y^2 in an ellipse
a. Graph the plane, cone and ellipse
b. Use Lagrange multipliers to find the highest and lowest points on the ellipse.
This problem must be solved using maple 10 (or 9) please show all work and data entries and outputs.
Provide complete and step by step solution for the question and show calculations and use formulas.