Spring 2020 MTH201: Multivariable Calculus

Assignment No. 1 (Lectures # 12 to 17) Total Marks: 20

Due Date: Friday, June 19, 2020

Please read the following instructions before attempting the solution of this assignment:

To solve this assignment, you should have good command over 12 to 17 lectures.

Try to consolidate your concepts that you learn in the lectures with these questions.

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Note:

Up to 50% marks might be deducted for those assignments which are received after the due date.

Question: Marks: 20

Let be a function of two variables defined on with continuous second order partial derivatives. Determine whether or not f has a relative minimum, a relative maximum and a saddle point in .

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