Consider the surface 32- y + x2 + 2x2 = 9. (a) Parametrise the surface in terms of two scalar parameters u and u. (b) Ca

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Consider The Surface 32 Y X2 2x2 9 A Parametrise The Surface In Terms Of Two Scalar Parameters U And U B Ca 1 (27.92 KiB) Viewed 32 times

Consider the surface 32- y + x2 + 2x2 = 9. (a) Parametrise the surface in terms of two scalar parameters u and u. (b) Calculate the normal vector N(u, v) and state an integral to describe the surface area of that part of the surface for which your parameters lie in the region of the uv.plane. (c) Give a double integral which would yield the surface area of that part of the surface where y s 0 and 1<a<2 (d) Evaluate your integral from part (c). You may use the result 1 + /(1+2a”:2)/?ds (228 / (1+2a+s) + x2 sinh' (as (2)) 1 4a