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研究所、轉學考(插大)-微積分
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109年 - 109 東吳大學_轉學生招生考試_數學系二年級︰微積分#110884
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題組內容
4. (6 points for each) Compute the following limits:
(a)
其他申論題
(b)
#475175
(c)
#475176
(d)
#475177
3. (8 points) Write down the Taylor series of cos(x) about x = 0.
#475178
(b)
#475180
(a) f(x,y) = x sin(xy).
#475181
(b) f(x,y)=e(x+y+1),
#475182
6. (6 points) Suppose f(x,y, z) = x3y4z5 and x = sin(t), y = et, z = t2. Please compute
#475183
7. (6 points) Find the directional derivative of f(a, u) = 2my-3y2at the point (x, y) = (5,5) and in the direction u = (4, -3).
#475184
8. (8 points) Find all the local maximal, local minimal, and saddle points of the function f(x,y) =3y2 - 2y3 -3x2 + 6xy.
#475185
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