1.Find the area of the surface. a. The part of the plane 2x + 5y + z = 10 that lies inside the cylinder x² + y? = 9 b. The part of the surface z = 1+3x + 2y? that lies above the triangle with %3D vertices (0,0), (0, 1), (2, 1) c. The part of the paraboloid z = 4 – x2 – y² that lies above the xy- plane |

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1.Find the area of the surface.
a. The part of the plane 2x + 5y + z = 10 that lies inside the cylinder
x² + y? = 9
b. The part of the surface z = 1+ 3x + 2y² that lies above the triangle with
%3D
vertices (0,0), (0, 1), (2, 1)
c. The part of the paraboloid z = 4 – x2 – y² that lies above the xy- plane
d. The part of the sphere ² + y? + z²
= 4 that lies within the cylinder
x2 + y? = ax and above the xy, plane.
Transcribed Image Text:1.Find the area of the surface. a. The part of the plane 2x + 5y + z = 10 that lies inside the cylinder x² + y? = 9 b. The part of the surface z = 1+ 3x + 2y² that lies above the triangle with %3D vertices (0,0), (0, 1), (2, 1) c. The part of the paraboloid z = 4 – x2 – y² that lies above the xy- plane d. The part of the sphere ² + y? + z² = 4 that lies within the cylinder x2 + y? = ax and above the xy, plane.
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