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研究所、轉學考(插大)-微積分
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109年 - 109 國立臺灣大學轉學生招生考試試題_理工科聯招：微積分(B)#110852
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1. Find the equation of the curve on thexy-plane that passes through (3,1) such that for any point P on the curve, the midpoint of the tangent line at P that lies in the first quadrant is P itself.
其他申論題
(a) C is a smooth curve in the upper half plane going from (1,1) to . =__(17)__.
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(b) S is the part of the spherex2 + y2 + z2 = 9 that lies above the cone z = with upward orientation. F = __(18)__.
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(a)=__ (19)__.
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(b) The Maclaurin series (the 'Taylor series at a = 0) for x is__(20)__.
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(e) Find.
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(b) Assume that on another curve , f obtains local naximumn at (Jc0,yo) which is near . Use linear epproimation to estimate
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1. Find an equation of the tangent to the curve y3 = xy + x + 1 at the point (0, 1).
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2. Evaluate
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3. A function f is defined by Find the maximum value of f.
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4. Find the solution of the differential equation that satisfes the initial condition y (1) = 0.
#474800
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