(a) Make a large sketch of the curve described by the vector function r(t) = (t², t), 0 ≤ t ≤ 2, and draw the vectors r(1), r(1.1), and r(1.1) − r(1).

(b) Draw the vector r'(1) starting at (1, 1), and compare it with the vector

Explain why these vectors are so close to each other in length and direction.

Transcribed Image Text:

r(1.1) – r(1) 0.1