4. Consider the surface defined by the portion of the cone z = -Vx2 + y? that lies below the rectangle (x, y) E [–1, 1] x [2, 4]. (a) Find parametric equations for this surface. (b) Compute the area of this surface.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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4.
Consider the surface defined by the portion of the cone
z = -Vx2 + y?
that lies below the rectangle (x, y) E [–1, 1] x [2, 4].
(a) Find parametric equations for this surface.
(b) Compute the area of this surface.
Transcribed Image Text:4. Consider the surface defined by the portion of the cone z = -Vx2 + y? that lies below the rectangle (x, y) E [–1, 1] x [2, 4]. (a) Find parametric equations for this surface. (b) Compute the area of this surface.
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