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研究所、轉學考(插大)-微積分
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103年 - 103 國立中山大學轉學生招生考試試題_應數系二年級：微積分#116874
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題組內容
2.
(b) Evaluate
dx. [10%]
其他申論題
5. The function f(x,y)=2x3+6xy2-3y3-150x has four stationary points. Among the four, the two saddle points are__(5)__.
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#499447
(b) Find the maximum and minimumn values of f(x, y, z) = 2x +y+z+4 subject to the constraint x2 + y2 + z2=6.[10%]
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(a) Evaluate the triple integral ∫∫∫Ω(x + 2z)dV, where Ω=(x,y,z)|0≤x,0≤y，1≤x2+y2+z2≤4}[10%]
#499449
(b) Evaluate the line integral ∫c(y dx -xdy), where C is the curve x= t2, y=et2, 0≤t≤ 1,from (0,1) to (1,e). [10%]
#499450
dx. [10%]
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dx. [10%]