Consider f(x,y) = ]x? + y? (a) Find the equation of a tangent plane at point...
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Consider f(x,y) = ]x? + y? (a) Find the equation of a tangent plane at point (3, 4, 5). (b) Find the normal vector at (3, 4,5). (c) Find the parametric equations of normal lines at (3, 4, 5). (d) (i) Find the angle between the tangent plane at (3, 4, 5) and the xz -plane. (ii) Find the angle between the tangent plane at (3,4, 5) and the plane z = -x + 2y. Consider f(x,y) = ]x? + y? (a) Find the equation of a tangent plane at point (3, 4, 5). (b) Find the normal vector at (3, 4,5). (c) Find the parametric equations of normal lines at (3, 4, 5). (d) (i) Find the angle between the tangent plane at (3, 4, 5) and the xz -plane. (ii) Find the angle between the tangent plane at (3,4, 5) and the plane z = -x + 2y.
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A Equation of tangent plane is Z f xyz f xyz z 0 F xyz f xyz z F xyz x 2 y 2 z Find gradiend derivat... View the full answer
Related Book For
Introduction to Mathematical Statistics and Its Applications
ISBN: 978-0321693945
5th edition
Authors: Richard J. Larsen, Morris L. Marx
Posted Date:
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