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Verify that the point of coordinates 37 47 237 is on

The plane of equation x + y = 1 intersects the cone of equation z = 4 - sqrt(x^2 + y^2) in a parabola. Verify that the point of coordinates ( 3/7 , 4/7 , 23/7 ) is on that parabola and find the equation of the line tangent to the parabola at the given point.

Hint: Parameterize the parabola by x = t, y =?, z =?

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Mathematics: Verify that the point of coordinates 37 47 237 is on

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