If the one you choose is homogeneous, then find the degree. If it is not homogeneous, then prove it is homothetic. Assume x, y, and z are positive. Using the equations below, totally differentiate the system of equations and then write it in the form of matrix times vector equals a vector. Be careful to have the correct variables on the correct sides of the equation.
Capital letters are variables, small letters are functions.
2 - yz is concave, convex, strictly concave, strictly convex, or none of the above. Determine if they are local max, local min, saddle points, or indeterminate. Illustrate the domain to prove that we can use the extreme value theorem. Find the global maximum and the global minimum. Return to the tests page .