Find equations of the tangents to the curve x = 6t2 + 6, y = 4!.\"3 + 2 that pass through the point (12, 6). (Enter your answers as a commaseparated list.) y= 2x+30 X Need Help? and" Use a graph to estimate the coordinates of the rightmost point on the curve x = Br 2t6, y = er. Then use calculus to find the exact coordinates. m4 6.(e)(e) (am ) ,e X Need Help? Find dy and- dx dx 2 x = e, y = te-t dy dx dry dx 2 For which values of t is the curve concave upward? (Enter your answer using interval notation.)The curve shown in the figure is the astroid X = a cos3(9), y = a sin3(9). _\\' A u , u u _\\' u (2) Find the area of the region enclosed by the astroid. _ 31m2 8 Consider the following parametric curve. x = e' - t, y = 4et/2, osts 5 Set up an integral that can be used to exact length of the given curve. L = dt Find the exact length of the curve. Need Help? Read It