Subject :calculasFind the area of the indicated part of the surface (above the region D). z = 15 + x + y2The x y z-coordinate system is given. A surface, a shaded triangle, and a shaded region on the surface are given.The surface labeled z = 15 + x + y2 is above the x y-plane and crosses the positive z-axis.The shaded triangle is on the x y-plane with coordinates at the origin, (0, −2, 0), and (2, −2, 0).The area on the surface above the triangle is shaded.

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Answered: Subject :calculas Find the area of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Subject :calculas

Find the area of the indicated part of the surface (above the region D).

z = 15 + x + y²

The x y z-coordinate system is given. A surface, a shaded triangle, and a shaded region on the surface are given.

The surface labeled z = 15 + x + y² is above the x y-plane and crosses the positive z-axis.
The shaded triangle is on the x y-plane with coordinates at the origin, (0, −2, 0), and (2, −2, 0).
The area on the surface above the triangle is shaded.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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