a) Find the equation of tangent line of curve that is given by parametric equations x = 3cost + sint y = e2t at the point (3, 1).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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a) Find the equation of tangent line of curve that is given by parametric equations
x = 3cost + sint
y = e2t
at the point (3, 1).
b) Find the extrema points of f(x, y) = x³ + 6x² + 3y? – 12xy + 9x
Transcribed Image Text:a) Find the equation of tangent line of curve that is given by parametric equations x = 3cost + sint y = e2t at the point (3, 1). b) Find the extrema points of f(x, y) = x³ + 6x² + 3y? – 12xy + 9x
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