need correct and urgent u' cos u?, a?EXAMPLE 6.6.3 For a surface of revolution defined by xu' sin u?, x³ = f (u'), where f is of class C2, find the Gaussian curvature K.

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Answered: u' cos u?, x? EXAMPLE 6.6.3 For a…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Analytic Trigonometry

Section2.3: Solving Trigonometric Equations

Problem 11ECP

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Solve: b,c and d part (b) Give parametric equations for the tangent line to the curve C at the point with t = 1 (c) Set up, but do not evaluate, an integral giving the arc length of the curve C between the points (1, 1, 1) and (2, 4, 16). (d) Find the curvature of C at the point (1, 1, 1) using your preferred method. No need to simplify your answer.
(1 point) Find the curvature (t) of the curve r(t) = (4 sin t)i + (4 sin t)j + (5 cost) k
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Match each parametrization with the corresponding surface. (i) (ii) (iii) (iv) (v) Answer Bank (u, cos (v) , sin (v)) (u, u (2 + cos (v), u (2 + sin (v))) (u, u + v, v) (cos (u) sin (v), 3 cos (u) sin (v), cos (v)) , COS (u, v³, v)

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u' cos u?, x? EXAMPLE 6.6.3 For a surface of revolution defined by x u' sin u?, x³ = f (u'), where f is of class C2, find the Gaussian curvature K. %3D