3 years ago

Put y+7=1/2(x+2) in standard form Standard form: Ax+By=C

1 answer:

4 0

$y+7=\frac{1}{2}(x+2)\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\2y+14=x+2\ \ \ \ |subtract\ x\ and\ 2\ from\ both\ sides\\\\-x+2y+14-2=0\\\\-x+2y+12=0\ \ \ \ \ |change\ signs\\\\\boxed{x-2y-12=0}$

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1 year ago

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

Akimi4 [234]

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

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where $-\infty$ .

Image attached.