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110年 - 110 國立中央大學_碩士班招生考試_環境工程研究所/甲組(一般生):衛生工程#103830
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4.有一水樣分析結果如下:[Ca]=60mgL,[Mg]=12mgL,Alk=180mg asCaCO3。請問總 硬度、碳酸硬度,及非碳酸硬度。(注意:只有Alk濃度為 asCaC3其餘均為實際濃度。 M.W.: Ca=40, Mg =24, C=12,0=16) (12%)
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5.請說明污染濃度管制與總量管制。如果一流域人口增加導致污水量增加,依據前述兩種管制原則,如何作為以維持環境之永續發展(15%)
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Instruction: This is a closed book exam. There are 10 problems and each is worth 10 points. Write everything CLEARLY, any ill-explanation or bad handwriting on your answer sheet should cause no credits. It is YOUR responsibility to turn in a clean, well-organized answer sheet. Problem (1) Find exp(az) cos (bx)dn.
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Problem (2) Derive a formula for the volume of a right circular cone of radius r and height h.
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Problem (3) Find the relative extrema of the function f(x, y) = x3 - 12xy + 8y3, (x,y)
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Problem (4) Find the interval of convergence of the following series:
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Problem (5) Find the particular solution of
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Problem (6) Let If is clear that O is a root of f(x) = 0. Use Newton's method with initial xo = 1 to obtain a sequence of "approximations". Does the above "approximations" approach 0? If not, give the reason.
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Problem (7) Let f(x) = x3 -x and g(x) = x- x2. Find the area of the region enclosed by the graphs of y = f(x) and y = g(x).
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Problem (8) Show thatYou can prove this by first showing that
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Problem (9) Use the method of Lagrange multiplier to find the minimum of the function f(x,y,z) = ry+rz+yz, subject to the constraint xyz = 1000.
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110年 - 110 國立中央大學_碩士班招生考試_環境工程研究所/甲組(一般生):衛生工程#103830
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