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maw [93]
3 years ago
8

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 7x2 + y2 and the

parabolic cylinder y = 3x2

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0
Letting x=t, we get y=3x^2=3t^2 and z=7x^2+y^2=7t^2+(3t^2)^2=7t^2+9t^4, so we can parameterize the intersection by

\mathbf r(t)=\langle t,3t^2,7t^2+9t^4\rangle

where -\infty.

Image attached.

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