Spring 2020 MTH201: Multivariable Calculus
Assignment No. 1 (Lectures # 12 to 17) Total Marks: 20
Due Date: Friday, June 19, 2020
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Question: Marks: 20
Let e1610d59-868d-4389-a208-d1b7bab3c9d8-image.png 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 .
Question 1: Let c be the boundary of the region enclosed between fbdf7954-d0d3-4e88-80f7-4fd1974ffa1f-image.png . Evaluate by green’s theorem. 9755721a-170d-4103-91e4-6526006bd953-image.png
Question 2: Evaluate the given integral using green’s theorem. 6c1a832c-023e-4356-a80e-138df284ac09-image.png
where c is the rectangle bounded by. ead29d18-d958-4385-b19d-acbc4f4a8357-image.png