Compute the following:(a) Sx ds where C is the portion of the circle x² +y² = 4 located in the first quadrant.(b) S[ 1– 2z dS where S is the portion of the paraboloid z =(²+y?) located belowthe plane z = 1.

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Compute the following: = 4 located in the first quadrant. (a) S x ds where C is the portion of the circle x²+ y?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

Compute the following:
(a) Sx ds where C is the portion of the circle x² +y² = 4 located in the first quadrant.
(b) S[ 1– 2z dS where S is the portion of the paraboloid z =
(²+y?) located below
the plane z = 1.

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