MATH 126 Midterm: MATH 126 UW Midterm 2 Winter 09perkinsExII
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You may use one 8 1: graphing calculators are not allowed, in order to receive credit, you must show your work. Explain why your answers are correct: if you use a trial and error (or guess and check) method when a calculus method is available, Let r(t) = (2t 1) i+t2 j+2 t k. find all times t when the tangential component. Find the equation of the tangent plane of the function f (x, y) = Evaluate the following double integrals. (a) (7 points) Zzr xy sin(x2y) da, r = [0, 1] [0, /2] (b) (7 points) Zzd y2exy da, d = { (x, y) | 0 y 3, 0 x y } You wish to build a rectangular box with no top with volume 6 ft3. The (12 points) material for the bottom is metal and costs . 00 a square foot. The sides are wooden and cost . 00 a square foot.
