2. Write and verify (i.e compute both sides of the equality) Green's Theorem for the field [P(x, y), Q(x, y)] = [ry, -ry] and the circle of the radius 2 and center at (3,-4). 3. Find the volume of the solid figure inside the cylinder (x - 1)² + y2 = 1 between the plane z = 0 the surface z = 2x + y + 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q2 and 3
2. Write and verify (i.e compute both sides of the equality) Green's Theorem for the field
[P(x, y), Q(x, y)] = [ry, -xy] and the circle of the radius 2 and center at (3,-4).
3. Find the volume of the solid figure inside the cylinder (x - 1)² + y² = 1 between the plane z = 0 the
surface z = 2x + y + 3.
Transcribed Image Text:2. Write and verify (i.e compute both sides of the equality) Green's Theorem for the field [P(x, y), Q(x, y)] = [ry, -xy] and the circle of the radius 2 and center at (3,-4). 3. Find the volume of the solid figure inside the cylinder (x - 1)² + y² = 1 between the plane z = 0 the surface z = 2x + y + 3.
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