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討論串[微積] 微積分
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cylinder z=y and be:low the paraboloid z=16-4x -3y. above means the lower bound of integral. below means the upper bound of integral. 2 2. ∫∫∫dv = ∫∫∫
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請問. Find the volume of the region the first octant (x,y,z> 0) above the parabolic. =. 2 2 2. cylinder z=y and bwlow the paraboloid z=16-4x -3y. 2.. Ca
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√(16+4x^2) = 4√(1+(x/2)^2). let x/2 = tany , 1 + (x/2)^2 = (secy)^2 , dx = 2(secy)^2 dy. ∫dx/√(16+4x^2). = (1/4)∫(1/secy)*2(secy)^2 dy. = (1/2)∫secy d
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