Find the indicated maxima or minima.Maximum of f(x, y, z) = xy + z,subject to x2 + y2 + z2 = 1
A. 1 when x = 1, y = 1, z = 0
B. 1 when x = 0, y = 0, z = 1
C. 1 when x = 0, y = 1, z = 0
D. 1 when x = 1, y = 1, z = 1
Answer: B
Mathematics
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A. x2 + 4x - 12 B. x2 + 3x - 12 C. x2 - 12x + 4 D. x2 + 4x + 3
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Use a calculator to find an approximation to the nearest ten-thousandth.log 0.52
A. -0.6539 B. -0.1539 C. -0.784 D. -0.284
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Solve the quadratic equation by completing the square.x2 + 8x - 11 = 0
A. {-4 - 9
, -4 + 9
}
B. {-4 - 3
, -4 + 3
}
C. {-8 - 3
, -8 + 3
}
D. {4 - 3
, 4 + 3
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Find the exact perimeter. Then approximate your answer to the nearest tenth.
A. 13
, 31.8
B. 22
, 53.9
C. 9
, 22.0
D. 26
, 63.7
Mathematics