3 years ago

6. Factor Completely (1 Point) 2x2+x-45

Mathematics

1 answer:

morpeh [17]3 years ago

8 0

Answer:

( 2X - 9 ) ( X + 5 )

........

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Consider the helix below:

$r(t)= (\cos(7t), \sin(7t), -t)$

We have to determine the value of helix at t = $\frac{\pi}{6}$

So, $r(\frac{\pi}{6})$

= $(\cos(\frac{7 \pi}{6}), \sin(\frac{7 \pi}{6}), -\frac{\pi}{6})$

Consider $\cos(\frac{7 \pi}{6}) = \cos(\pi + \frac{\pi}{6}) = - \cos (\frac{\pi}{6}) = \frac{-\sqrt3}{2}$

Consider $\sin(\frac{7 \pi}{6}) = \sin(\pi + \frac{\pi}{6}) = - \sin (\frac{\pi}{6}) = \frac{-1}{2}$

So, the value of helix $r(\frac{\pi}{6}) = (\frac{-\sqrt3}{2}, \frac{-1}{2}, \frac{- \pi}{6})$ .

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