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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? (i) V = 5 S 2 4-x² 7+3y2 0 dz dy dx (ii) V = 5* sª sª (7 + 3y2) dx dy 0 00 2 7+3y2 (iii) V = √² √²-*² √² (7+3y²) dz dy dx (iv) V= dx dy 00 2 (v) V= ·²² (7+3y²) dy dx (vi) ² s² s² -2 0 000 Only (ii) Only (vi) (ii) & (vi) (i) & (v) (iii) & (iv) (v) & (vi) (i) & (ii) S² S´ 00 dz dy dx

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? (i) V = 5 S 2 4-x² 7+3y2 0 dz dy dx (ii) V = 5* sª sª (7 + 3y2) dx dy 0 00 2 7+3y2 (iii) V = √² √²-*² √² (7+3y²) dz dy dx (iv) V= dx dy 00 2 (v) V= ·²² (7+3y²) dy dx (vi) ² s² s² -2 0 000 Only (ii) Only (vi) (ii) & (vi) (i) & (v) (iii) & (iv) (v) & (vi) (i) & (ii) S² S´ 00 dz dy dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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-x² 7+3y2 (i) V = 5 S prep dz dy dx (ii) V = S sª sª (7 + 3y2) dx dy 0 0 00 2 7+3y2 (iii) V = √² √²-*² √² (7+3y²) dz dy dx (iv) V= dx dy 00 2 (v) V= ·²² (7+3y²) dy dx (vi) ² s² s² -2 0 000 Only (ii) Only (vi) (ii) & (vi) (i) & (v) (iii) & (iv) (v) & (vi) (i) & (ii) s² s²² 00 dz dy dx
Transcribed Image Text: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-x² 7+3y2 (i) V = 5 S prep dz dy dx (ii) V = S sª sª (7 + 3y2) dx dy 0 0 00 2 7+3y2 (iii) V = √² √²-*² √² (7+3y²) dz dy dx (iv) V= dx dy 00 2 (v) V= ·²² (7+3y²) dy dx (vi) ² s² s² -2 0 000 Only (ii) Only (vi) (ii) & (vi) (i) & (v) (iii) & (iv) (v) & (vi) (i) & (ii) s² s²² 00 dz dy dx
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