a.) Find the area of the surface defined by 4x + 2y + z = 1, x² + y? < 1. b.) Evaluate the integral

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a.) Find the area of the surface defined by 4x + 2y + z = 1, x² + y² < 1.
b.) Evaluate the integral
(3r + 2y + z)dS,
where S is the part of the plane 2x + 3y + z = 6 that lies in the first octant.
Transcribed Image Text:a.) Find the area of the surface defined by 4x + 2y + z = 1, x² + y² < 1. b.) Evaluate the integral (3r + 2y + z)dS, where S is the part of the plane 2x + 3y + z = 6 that lies in the first octant.
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