assignment-10 - MATH 138 Spring 2010 Assignment 10(10.1...

MATH 138, Spring 2010
Assignment # 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 the
direction in which the curve is traced as t increases.
(b) Eliminate the parameter to find a Cartesian equation of the curve.
Problem 1 . x = t 2 , y = t 3
(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 the
parameter increases.
Problem 2 . x = ln t, y =
√
t, t ≥ 1
Problem 3 . Find an equation of the tangent to the curve at the point corresponding to the given value