M 408C Lecture Notes - Multiple Integral, Lagrange Multiplier, Iterated Integral

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31 Jan 2014
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Taboada (lat2278) hw12 berg (56260) Multiple-choice questions may continue on the next column or page nd all choices before answering: maximum = 7, maximum = 10. Use lagrange multipliers to determine the maximum value of f (x, y) = 2xy z subject to the constraint g(x, y) = x2. Use lagrange multipliers to determine this maximum value: max value = 3, max value = 0, max value = 1, max value = 2, max value = 4. Determine the maximum value of f (x, y) = 4x1/4y3/4 subject to the constraint g(x, y) = x + 3y 8 = 0 : maximum = 2, maximum = 4, maximum = 3. The temperature t at a point (x, y, z) on the surface is given by x2 + y2 + z2 = 75. T (x, y, z) = x + y + z in degrees centigrade. A rectangular box with edges parallel to the axes is inscribed in the ellipsoid.

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