ENGR 251 Final: ENGR 251 Final Exam 2012 Winter
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J. brannlund, g. dafni, d. davis, y. guo, a. kokotov, s. li: stern. 2 (10 marks) (a) let w = x 3 + y + e xz , and let x = 2t , y = t 2 , and z = t "1. Use the multivariate chain rule to find dw dt when t = 1. (b) suppose that the temperature distribution of the plane is given by t(x,y) = 5x2 + exy . 2 y at which the tangent plane is parallel to the plane x. Find the moment of inertia about the y-axis of the lamina that has the given shape and density. bounded by x = 0, y = x, y = 1; y,x. For the scalar function f x, y, z. ) = e x 2 cos z + z 4 sin y compute the following quantities if they make sense.
