Use the Riemann sum corresponding to a subdivision of the rectangular region R defined by 0 s x s6, 0sys 4, into six squares of edge length 2 and sample points at the upper-right corner of each square to estimate ( ( xy dA. Lütfen birini seçin: O A. 168 О В. 144 O C.72 O D. 288 O E. 36

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Chapter2: Second-order Linear Odes
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Use the Riemann sum corresponding to a subdivision of the
rectangular region R defined by 0 sx s6,0 sys 4, into six squares
of edge length 2 and sample points at the upper-right corner of
each square to estimate ( [ xy dA.
Lütfen birini seçin:
O A. 168
О В. 144
О С. 72
D. 288
ОЕ. 36
Transcribed Image Text:Use the Riemann sum corresponding to a subdivision of the rectangular region R defined by 0 sx s6,0 sys 4, into six squares of edge length 2 and sample points at the upper-right corner of each square to estimate ( [ xy dA. Lütfen birini seçin: O A. 168 О В. 144 О С. 72 D. 288 ОЕ. 36
Find the extreme values of the function subject to the given
constraint.
f(x, y, z) = (x – 1)2 + (y - 2)2 + (z – 2)², x² + y²+z² = 36
Lütfen birini seçin:
O A. Maximum: 81 at (-2, -4, -4); minimum: 9 at (2, 4, 4)
O B. Maximum: 77 at (-4, -4, -2); minimum: 13 at (4, 4, 2)
O C. Maximum: 49 at (-2, 4, -4); minimum: 41 at (2, -4, 4)
O D. Maximum: 77 at (-4, -2, -4); minimum: 13 at (4, 2, 4)
Transcribed Image Text:Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x – 1)2 + (y - 2)2 + (z – 2)², x² + y²+z² = 36 Lütfen birini seçin: O A. Maximum: 81 at (-2, -4, -4); minimum: 9 at (2, 4, 4) O B. Maximum: 77 at (-4, -4, -2); minimum: 13 at (4, 4, 2) O C. Maximum: 49 at (-2, 4, -4); minimum: 41 at (2, -4, 4) O D. Maximum: 77 at (-4, -2, -4); minimum: 13 at (4, 2, 4)
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