The following problem problem I need help with:-
The parametric curve de ned by the equations
(t) = cos(t); y(t) = sin(3t); 0 <=t <= 2:
a) Find a formula which represents the slope of the tangent line to the curve at the point (
b) Find the points (values of
t and corresponding (x; y) coordinates) where the curve has a horizontal tangent line, and nd the points where the curve has a vertical tangent line.
c) Use the information you found in part b) to draw a sketch of the curve.
d) Set-up, but do not compute, an integral that represents the length of this parametric curve.