Find r'(t), r(t₀), and r'(t₀) for the given value of t₀. Then
sketch the plane curve represented by the vector-valued
function, and sketch the vectors r(t₀) and r'(t₀). Position the
vectors such that the initial point of r(t₀) is at the origin and the
initial point of r'(t₀) is at the terminal point of r(t₀). What is the
relationship between r'(t₀) and the curve?

Transcribed Image Text:

r(t) = t²i+tj, to = 2