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研究所、轉學考(插大)-微積分
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108年 - 108 台灣聯合大學系統(清華、交通、陽明、中央四校聯招)學士班轉學生考試_A2：微積分#112195
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1. Find the average value of g(x) = |x| - 1 on [-1,3]. Answer:__________
其他申論題
(j) If f : [a,b] → is not continuous, then f(x)dx does not exist.
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(1) Evaluate .
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(2) Find at the point (-1,0) if 6x4+ 3x2y - 20xy2 - 3y3 = 6.
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(3) Find the gradient vector of the function f(x,y) := . Then find the equation of the tangent plane at (2,0).
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2. Find(x) dx. Answer :_______
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3. Evaluatedxdy. Answer :___________
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4. Find the values of a and b that makes the function differentiable at x = 0. Answer : _____________
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5. Find the tangent line to the curve x2 cos2y - sin y = 0 at (0,π). Answer :__________
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6. Find the volume of the solid obtained by revolving the region bounded by the curves y = -x2 + 4x and y = x2 about the x-axis. Answer :____________
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7. Evaluate . Answer :__________
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