(a) (b)
(c) (d)

with the following plots. Give reasons for your choices.

I

II

III

IV

Solution: Perhaps (d) , , is the easiest starting point. The horizontal component is aways positive so the vector is always pointing to the right. Thus (d) corresponds to I.

Going on to (c) , , only II has the periodicity reflecting the two sine functions here.

The vector given in (a) , , has a positive horizontal component in the first and second quadrants , so must correspond to III.

By elimination, (b) correspnds to IV.

No Maple Code for this problem