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104年 - 104 國立臺南大學_轉學生招生考試試題_(理工聯招)二年級：微積分#124202
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題組內容
2. Evaluate the following terms.
(e)
=?
其他申論題
(a) Approximate the function f(x)= by a Taylor polynomial of degree 2 centered at 8.
#527938
(b) Find the gradient of f(x,y)=xy2+y ln x at the point (1, 2).
#527939
(c) Find the shortest distance from the point (1, 0,-2) to the plane x+2y+z=4.
#527940
(d) If z=f(x-y),=?
#527941
二、計算題 1.If the following integral represents the volume of a solid, describe the solid.
#527943
2.Find the arc length function for the curve y= taking P0(1,1) P0(1,1) as the starting point.
#527944
1. Evaluate
#527945
2. Evaluate
#527946
3. Let f (t) be a function defined for all positive values of t. The Laplace Transform of f(t) is defined by Find .
#527947
4. Determine the convergence or divergence .
#527948
=?
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=?