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研究所、轉學考(插大)-微積分
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93年 - 93 國立暨南大學轉學生招生考試試題_微積分_(資工系)#125297
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題組內容
6.Show that
(b)
其他申論題
(a)Show that it is increasing.
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(b)Find the greatest lower bound.
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(c)Find the least upper bound.
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(a)√(xlnx) = 0
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7.Determine the path of steepest descent along the surface z = x²+3y² from the point (1,1,4) to the point (0,0,0).
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(a) What is the angular velocity of the object when it reaches the bottom of the incline?
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(b) How much tim does it take to reach the bottome
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(c) What is the instantaneous power the object received from the gravitation field? Suppose the gravitational acceleration is g.
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(a) What is the magnitude of l?
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(b) When the rod is lifted a distance d from equilibrium and then released, it undergoes simple harmonic motion. Determine the angular frequency of the oscillation.
#532894
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