MATH235 Lecture 16: MATH235 Lecture Notes 16

Comparing Functions Winch of the following vector- valued functions represent the same graph?

(a) r(t)=(–3 cos t + l)i + (5 sin t + 2)j 4 + 4k

(b) r(t)=4i + (–3 cos t + l)j + (5 sin t + 2)k

(c) r(t)=(3 cos t– l)i + (–5 sin t –2)j + 4k

(d) r(t)=(–3 cos 2t + l)i + (5 sin 2t + 2)j + 4k

State the derivative of each function.

(a)   

(b)   

(c)   

(d)   

(e)   

(f)   

(g)   

(h)   

(i)   

(j)   

(k)   

(l)   

(m)