Barrons AP Calculus - David Bock

16. (a) See graph.

(b) You want to maximize

See signs analysis.

The maximum y occurs when t = 1, because y changes from increasing to decreasing there.

(c) Since x(1) = 4arctan 1 = π and the coordinates of the highest point are (π,6).

Since This vector is shown on the graph.

( d ) Thus the particle approaches the point

(2π,0).