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puteri [66]
4 years ago
7

Which is the best approximation of 51? A. 5.9 B. 5.3 C. 9.2 D. 7.1

Mathematics
2 answers:
Ivenika [448]4 years ago
8 0
The correct answer is 7.1
Makovka662 [10]4 years ago
5 0
The correct answer is 7.1
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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
Cerrena [4.2K]

Answer:

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

We plug  

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So, we get:

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

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So that we get:

y=6t^2, z=3t^2+72t^4

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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