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102年 - 102 國立臺南大學_轉學生招生考試試題_電機工程學系二年級:微積分#124209
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(14) Definite integral:
=?
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(10) Use the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=,y=0,x=1,x=5 about the y-axis.
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(11)
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(12)
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(13) Indefinite integral:=?
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(15)
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(16)
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(17) Consider the function ln(1-x). If the solution of the power series representation for ln(1-x) on (-1,1) is written as ,=?
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(18) Find the equation of the tangent plane to the surface of z=x2+4y2 at the point (-2, 1, 8).
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(19) Let =?
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(20) Assume that the function value of at A(x, y) has a relative maximum. A(x, y)=?
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