Writing Let r(t) = t 2, t 3 + 1 and define (t)to be the anglebetween r(t) and r(t). The

Chapter 12, Problem 60

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Let r\((t)=\left\langle t^{2}, t^{3}+1\right\rangle\) and define \(\theta(t)\) to be the angle between r\((t)\) and r’\((t)\). The graph of \(\theta=\theta(t)\) is shown in the accompanying figure. Interpret important features of this graph in terms of information about r\((t)\) and r’\((t)\). Accompany your discussion with a graph of r\((t)\), highlighting particular instances of the vectors r\((t)\) and r’\((t)\).

Equation Transcription:

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Text Transcription:

(t) = left angle t^2, t^3 + 1 right angle

theta(t)

(t)

(t)

theta = theta(t)

(t)

(t)

(t)

(t)

(t)