(a) Use Stokes' Theorem to evaluateF. dr where F(x, y, z) = x²yi + +x3j + xyk and C is the curve of intersection of thehyperbolic paraboloid z = y2 – x2 and the cylinder x2 + y² = 1 oriented counterclockwise as viewed from above.F. dr = T(b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface.1.01.00.50,5yy0.00.0-0.5-0.5-1.0-1.01.01.0 A0.50.5Z 0.0tZ 0.0-0.5-0.5-1.0-1.0-1.0-1.0-0,5-0,50.0000.50.51.01.01.01.00,50.50.00.0-0.5-0.5-1.0-1.01.0 A1.00.50.520.0Z 0.0-0.5-0.5-1.0-1.0-1.0-1.0-0.5-0,500000.50.51.01.0(c) Find parametric equations for C and use them to graph C. (Enter your answer as a comma-separated list of equations. Let xand y be in terms of t where 0

Given, Fx,y,z=x2yi+13x3j+xyk Now, using Stokes's theorem t evaluate ∫CF·dr The curve C is…

a) Use Stokes' Theorem to evaluate hyperbolic paraboloid z = y2 - x2 and the cylinder x2 + y2 = 1 oriented counterclockwise as viewed from above. F. dr where F(x, y, z) = x2yi + x³j + xyk and C is the curve of intersection of the F. dr = (b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface. 1.0 0.5 0.0 1.0 -0.5 0.5 0.0 -1.0 1.0 -0,5 -1.0 1.0 0.5 0.5

a) Use Stokes' Theorem to evaluate hyperbolic paraboloid z = y2 - x2 and the cylinder x2 + y2 = 1 oriented counterclockwise as viewed from above. F. dr where F(x, y, z) = x2yi + x³j + xyk and C is the curve of intersection of the F. dr = (b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface. 1.0 0.5 0.0 1.0 -0.5 0.5 0.0 -1.0 1.0 -0,5 -1.0 1.0 0.5 0.5

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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