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33. Find the slope of the tangent line to the curve of intersection of the surface ? = x' + y with the planey =
33. Find the slope of the tangent line to the curve of intersection of the surface ? = x' + y" with the planey = 1 at the point (2, 1, 5). Draw a sketch. Interpret this slope as a partial derivative. 34. Find equations of the tangent line to the curve of intersection of the surface :" + y + 2" =9 with the plane y = 2 at the point (1, 2, 2). 35. The temperature at any point (x. y) of a flat plate is T degrees and T= 54 - jr - 4y'. If distance is measured in feet, find the rate of change of the temperature with respect to the distance moved along the plate in the directions of the positive x and y axes, respectively, at the point (3, 1)
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