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Multivariable Calculus

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Differentiation

MVCALC-KPOREC

What is the derivative of the vector-valued function given by:

$${\bf r}(t)= \sin 2t {\bf i} + e^{-3t} {\bf j}$$

A

$2\cos 2t + 3e^{-3t} $

B

$2\cos 2t {\bf i} - 3e^{-3t} {\bf j}$

C

$2\cos 2t {\bf i} + 3e^{-3t} {\bf j}$

D

$\left (2\cos 2t + 3e^{-3t} \right) {\bf k} $

E

$\cos 2t {\bf i} - 3e^{-3t} {\bf j}$