MATH 138, Spring 2010Assignment # 10 (10.1, 10.2 and a Maple Lab)Due at 9:30am on Thursday, July 22(a) Sketch the curve by using the parametric equations to plot points.Indicate with an arrow thedirection in which the curve is traced astincreases.(b) Eliminate the parameter to find a Cartesian equation of the curve.Problem 1.x=t2,y=t3(a) Eliminate the parameter to find a Cartesian equation of the curve.(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as theparameter increases.Problem 2.x= lnt, y=√t, t≥1Problem 3.Find an equation of the tangent to the curve at the point corresponding to the given value