MTH 254 Midterm: MATH 254 Oregon State Midterm2005
31 Jan 2019
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October, 2005: find the angle between the normal vectors to the planes x + y + 2z = 8 and x + y + z = 6. Round your answer (in radians) to 2 decimal places. ll: the planes from problem (1) intersect in a line. This line contains the point (0, 4, 2). Use the second partials test to determine whether this point is a local maximum, local minimum or saddle point: compute du f (1, 1) for u =! 3" and for f (x, y) = 4 + x2 + y2 + x2y2. What is this maximum value of du f (1, 1): f is a function of x and y. Each of x and y are in turn functions of u and v. if you are given the following information, compute.
