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vladimir2022 [97]
4 years ago
11

21.48 divided by 24?

Mathematics
1 answer:
MissTica4 years ago
3 0
.895
21.48 divided by 24 is .895 or rounded it is .9
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Find a vector function that represents the curve of intersection of the paraboloid z=3x2+2y2 and the cylinder y=6x2. Use the var
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Answer:

\vec{r(t)}=t\hat{i}+6t^2\hat{j}+(3t^2+72t^4)\hat{k} \text{ For }t \in (-\infty, \infty)

Step-by-step explanation:

First plug the equation of y into the equation of z, so that we get their intersection:

We plug  

y=6x^2

Into: z=3x^2+2y^2

So, we get:

z=3x^2+2(6x^2)^2\\z=3x^2+2(36x^4)\\z=3x^2+72x^4

Then we set  

x=t  

And plug that in the equation y=6x^2 and the one we just got for z.

So that we get:

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Therefore, the vector function that represents the curve of intersection is:

\vec{r(t)}=t\hat{i}+6t^2\hat{j}+(3t^2+72t^4)\hat{k} \text{ For }t \in (-\infty, \infty)

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