Which of the following represents the volume of the solid in the first octant bounded by the surfaces x + z² = 1, x = y and x = y² ? So S/² √I - x dy dx 1 Ső 53³² +y² √I x dx dy So S VI √1 − x dx dy So S² √1 − x dy dx None of the given choices

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following represents
the volume of the solid in the first
octant bounded by the surfaces
x + z² = 1, x = y and x = y² ?
1
Y
ⒸSS √1 - x dy dx
S² S³ √1 − x dx dy
So S √I x dx dy
S²√1 - x dy dx
O None of the given choices
Transcribed Image Text:Which of the following represents the volume of the solid in the first octant bounded by the surfaces x + z² = 1, x = y and x = y² ? 1 Y ⒸSS √1 - x dy dx S² S³ √1 − x dx dy So S √I x dx dy S²√1 - x dy dx O None of the given choices
Which of the following
statements is true about a
smooth function fat (a, b) if
ƒ (a, b) = c, fxx (a, b) = 6,
fyy (a, b) = 12 and
fxy (a, b) = 0?
O No conclusion can be made
about the point (a, b, c).
Oc is relative minimum value
of f.
Oc is relative maximum value
of f.
(a, b, c) is a saddle point.
None of the given choices
Transcribed Image Text:Which of the following statements is true about a smooth function fat (a, b) if ƒ (a, b) = c, fxx (a, b) = 6, fyy (a, b) = 12 and fxy (a, b) = 0? O No conclusion can be made about the point (a, b, c). Oc is relative minimum value of f. Oc is relative maximum value of f. (a, b, c) is a saddle point. None of the given choices
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