(b) Let the domain V be the volume defined by the inequalities x2 + y² +z?> 1, Viz? + y +z 0.70, z0 (1) Determ

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B Let The Domain V Be The Volume Defined By The Inequalities X2 Y Z 1 Viz Y Z H And X 0 70 Z0 1 Determ 1 (23.75 KiB) Viewed 75 times

(b) Let the domain V be the volume defined by the inequalities x2 + y² +z?> 1, Viz? + y +z<H and x > 0.70, z0 (1) Determine the value H, such that for all H > Hthe sphere x + y + x2 = 1 does not intersect the cone x2 + y² +z=H (1) Setting H = 2. sketch the intersection of the domain V with each of the following planes: z=0.z=1. y=0. (iii) Compute the volume of V in the case H = 2 (c) tf H = 2 in the definition of the domain V in part (b), and 22 f(x, y, z) 2² + y² evaluate SSD, 1(; 9,2) av. + Drag and drop an image or PDF ne or click to browse...