Question: 12. In this question you will use the formula (see 10.4 on p.55 of the Course Notes): 2 S = V1 + ( dA (*)


12. In this question you will use the formula (see 10.4 on p.55 of the Course Notes): 2 S = V1 + ( dA (*) to calculate the surface area of that part of the "inverted" (or "upside down") paraboloid, given by the equation z = 16 -x2 -y', which lies above the xy-plane. (a) Explain why the region R of the ry-plane that is relevant in this case is the disc with radius 4 centred on the origin. (b) Use polar co-ordinates, (r, 0), to describe the disc in part (a) above (i.e. find numbers a, b, c, d such that a
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