Math Methods for Economists
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Math Methods for Economists
Fall 2016 Final
1. Evaluate the indefinite integral. Please show all intermediate steps.
2. Evaluate the definite integral. Please show all intermediate steps. Hint: set u = and then apply the integration by parts rule.
3. Find solutions to the values of x, y, and z using the matrix inversion technique shown in this course. Please show all intermediate steps.
4. Partially differentiate the following equation with respect to x and y:
5. Without substituting u or v into Z, please find the total derivative of Z with respect to x.
6. Determine the critical points of functions. Determine whether each critical point corresponds to local maxima, minima, or a saddle-point. Clearly distinguish the first-order conditions and the second-order conditions.
7. Given the constraint, find the stationary points for the following function and evaluate the second order conditions. Use the Lagrange technique.
subject to
2022-08-12