Question: Present your solutions on your paper. (1) (20 POINTS) A parametric equation of the folium of Descartes is 3at 3at2 1+ +3 9= 1+ +3

Present your solutions on your paper. (1) (20 POINTS) A parametric

Present your solutions on your paper. (1) (20 POINTS) A parametric equation of the folium of Descartes is 3at 3at2 1+ +3 9= 1+ +3 . Determine # and 2 4. Determine the equation of the tangent line to the curve at the point on the curve that corresponds to t = 1. (2) (15 POINTS) Set-up the integral to determine the area of the surface obtained by revolving a = t cos(t), y = tsin(t), 0

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