Curve of intersection of the surfaces z = x 3 and y =sin x + z 2 The - - PDF document

Curve of intersection of the surfaces z = x3 and y =sin x + z2 The curve can be parametrized as r(t) = < t, sin t + t6 , t3>

Curve of intersection of the surfaces z = 3 x2 + y2 (elliptic paraboloid) and y = x2 (parabolic cylinder) The curve can be parametrized as r(t) = < t, t2 , 3t2 + t4>

Curve of intersection of the surfaces x2 + y2 = 9 (cylinder) and z = xy (hyperbolic paraboloid) The curve can be parametrized as r(t) = < 3 cost , 3 sint , 9 cost sint >

Curve of intersection of the surfaces x2 + z2 = 9 (cylinder) and y = x2 + z The curve can be parametrized as r(t) = < 3 cost , 9 cos2t + 3 sint , 3 sint >

Curve of intersection of the surfaces z= x

2y 2 (cone) and

z = 1 + y (plane) The curve can be parametrized as r(t) = < t , (t2-1)/2 , 1 + (t2-1)/2 >

Curve of intersection of the surfaces z = x2 + y2 (paraboloid) and 5x – 6y + z – 8 = 0 (plane) The projection of the curve on the xy plane is the circle x5 2 

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 y−32=93 4 The curve can be parametrized as r(t) = < −5 2 93 2 cost ,393 2 sin t ,−5 293 2 cost

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393 2 sin t

2

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