Four more than three times n equals -5

1 answer:

5 0

3n+4=-5

do the opposite of adding 4. this means you have to subtract 4 from 4. whatever you do to the problem, you must do to the answer. now subtract 4 from -5.

-5-4=-9

since 4-4=0, we can take 4 out of the equation. now you have:

3n=-9

now divide -9 by 3

-9/3=-3

n=-3

hope this helps :)

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At what points does the curve r(t) = ti (4t − t2)k intersect the paraboloid z = x2 y2? (if an answer does not exist, enter dne.)

Aleonysh [2.5K]

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So the paraboloid is given by

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which holds for $t^2-4t=t(t-4)=0$ , i.e. when $t=0$ and $t=4$ .

To make sure this is correct, plug in $t=0$ and $t=4$ to find out the value of $\mathbf r(t)$ , and see if these points are on the paraboloid.

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$\mathbf r(4)=4\,\mathbf i+0\,\mathbf j+(4\times4-4^2)\,\mathbf k\implies (4,0,0)$
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Both of these hold, so the answer is correct.

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