Only a, and b Problem 15Consider the surfaces z =x² + y² and y = x.(a) Describe two surfaces.(b) Describe the curve generated by the intersection of the two surfaces.(c) Using x = t, find the parametric representation of the intersection curve found in (b).(d) Find the unit tangent vector T at t = 0.(e) Find the tangential component of acceleration at at t = 0.(f) Find the normal component of acceleration an at t = 0.(g) Find the curvature at t = 0.(1,1,0).Ans: (c) (t, t, 2t²); (d) (2); (e) 0; (f) 4; (g) 2

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Answered: Problem 15 Consider the surfaces z = x²…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 53E

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Problem 15 Consider the surfaces z = x² + y² and y = x. (a) Describe two surfaces. (b) Describe the curve generated by the intersection of the two surfaces.