Consider the field F(xy.z) = 0.2 (x + y4) i +1 (x5+ y)j+1 (x2+y?) k. (a) Integrate F.ds around the rectangle defined by the points (0.01,0). (4.6,1,0), (4.6,5,0), and (0.0,5,0). (b) Integrate F.ds around a circle on the x-y plane of radius 8.4, with the center at the origin. (c) Integrate F.dS over the surface of a rectangular prism defined by the points given in Part (a) and extruded in the positive k direction by a distance 1. (d) Integrate F.dS over the surface of a cylinder defined by the circle given in Part (b) and extruded in the positive k direction by a distance 1. (e) Integrate F.ds around the triangle defined by the points (0.0,1,0). 4.6.1,0), and (2,5,0). (1) Integrate F.ds over the surface of a triangular prism defined by the points given in Part (e) and extruded in the positive k direction by a distance 1.
Consider the field F(xy.z) = 0.2 (x + y4) i +1 (x5+ y)j+1 (x2+y?) k. (a) Integrate F.ds around the rectangle defined by the points (0.01,0). (4.6,1,0), (4.6,5,0), and (0.0,5,0). (b) Integrate F.ds around a circle on the x-y plane of radius 8.4, with the center at the origin. (c) Integrate F.dS over the surface of a rectangular prism defined by the points given in Part (a) and extruded in the positive k direction by a distance 1. (d) Integrate F.dS over the surface of a cylinder defined by the circle given in Part (b) and extruded in the positive k direction by a distance 1. (e) Integrate F.ds around the triangle defined by the points (0.0,1,0). 4.6.1,0), and (2,5,0). (1) Integrate F.ds over the surface of a triangular prism defined by the points given in Part (e) and extruded in the positive k direction by a distance 1.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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