Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. dx x = 8 sint, y = 8 cost, t= - . . . The equation represents the line tangent to the curve at t = - 4 .Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. dx x = 212 +9, y=14, t= - 1 . . . Write the equation of the tangent line. y =Find the length of the curve. 21 x = 70", y=- 2 1 2 , Ost5 1 3 21 The length of the curve x = 7t, y = on Osts 13 is 2Find the area under one arch of the cycloid. x = 3a(t - sint), y = 5a(1 - cost) The area is1 1 it Find the area of the surface generated by revolving the curve X = Ecos (2t), y = T + 55in (2t) on D Ste 5 about the xaxis. 1 1 Find the integral used to nd the area of the surface generated by revolving the curve x = cos (2t), y = T + sin {2t) on 0 ts 1'! 2 2 2 ' S