8. Use the Fundamental Theorem of Line Integrals to evaluate √ (2xy + 1)dx + (x² − y)dy on the line segment from (0,2) to (4,-2). 9. Find an equation of the tangent plane to the surface (u,v) = u cos vi+usin vĵ+ uk at the point u = 3, v = 10. Find the unit tangent vector for ŕ(t) = (√t³ − 4)î + (t² + 1)ĵ.

8. Use the Fundamental Theorem of Line Integrals to evaluate √ (2xy + 1)dx + (x² − y)dy on the line segment from (0,2) to (4,-2). 9. Find an equation of the tangent plane to the surface (u,v) = u cos vi+usin vĵ+ uk at the point u = 3, v = 10. Find the unit tangent vector for ŕ(t) = (√t³ − 4)î + (t² + 1)ĵ.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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