The graph shows a vector-valued function r(t) for 0 t 2 and its derivative r'(t)

The graph shows a vector-valued function r(t) for 0 ≤ t ≤ 2π and its derivative r'(t) for several values of t.

(a) For each derivative shown in the graph, determine whether each component is positive or negative.

(b) Is the curve smooth on the interval [0, π]? Explain.

Transcribed Image Text:

t= 5개 6 -2 -1 5π 4 4 3- 2- 1 -1 y -2. -4 1 2 ㅠ + 3 x