?

Multivariable Calculus

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Difficult

Where is the Curve Smooth?

MVCALC-J1EE1R

On what set is the curve defined by:

$${\bf f}(t)=e^t \sin^4 t {\bf i} + t^2 e^{ \cos ^4 t} {\bf j} + e^{t} {\bf k}$$

...smooth?

A

$(0, \infty)$

B

$(-\infty, 0)$

C

$(-\infty, 0)$ and $(0, \infty)$

D

$(-\infty, \infty)$

E

$(0,1)$