Question: Q3 (13 points) Consider the curve given by the parametric equations 1 =+ +4+4 3, tER a) Find dy and 2 . (4.5 points) b)

 Q3 (13 points) Consider the curve given by the parametric equations

1 =+ +4+4 3, tER a) Find dy and 2 . (4.5

Q3 (13 points) Consider the curve given by the parametric equations 1 =+ +4+4 3, tER a) Find dy and 2 . (4.5 points) b) Set up a definite integral that calculates the ares enclosed by the given curve and the I-axis. Do not evaluate and do not simplify the integral. (3 points) () Find the coordinates of point on ( where the tangent line is horizontal. (3.5 points] d) If the region enclosed by the given curve and the I-axis was rotated about the I-axis, set up a definite integral that computes the surface area of the volume obtained by this rotation. Do not evaluate and do not simplify the integral. (2 points)

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