The volume V of the solid having the shape of the region in the first octant (x ≥ 0, y ≥0, z≥ 0) enclosed by the surfaces y = 4 - x² and z = 7+ 3y² is given by which of the following? 2 4-x²2² (6²6 00 0 (i) V= (iii) V = - (v) V= Lo C 2 2 S 00 4-x2 (v) & (vi) ○ (i) & (ii) ○ (i) & (v) O (ii) & (vi) Only (vi) Only (ii) -20 (iii) & (iv) +3y2² dz dy dx (ii) V = 0 (7+3y²) dy dx (vi) ² sª 00 0 [VA-Y 0 ¶¯ (7 + 3y²) dz dy dx__(iv) V = S s 0 0 dz dy dx (7 + 3y²) dx dy 7+3y² dx dy

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A:

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