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96年 - 96 淡江大學 轉學考 統計學#55963
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(b)y= —
其他申論題
(c) -dx. o(x +1)
#212148
(d) [ [(3jc2 +6^2)dydx.
#212149
(e) lim ^ + x___I.
#212150
2. Find 字 or (每小題 6 points) if ax ay In r (a)y= e3T
#212151
(c)y= fl/(l +x ＞ 0
#212153
(d) g(x，y)
#212154
3. Find the maximum and minimum values for the function f(x) = jc3 - 3 x2 -24x+5 for x on the interval [-3, 8]. (lOpoints)
#212155
4. Find the relative extreme values of f(x, y) -y" + x3 -4xy. (10 points)
#212156
5. Find the Taylor series for ^dt at x=0. (lOpoints).
#212157
6. A manufacturer of digital clocks determines that he can sell x clocks per week at price p where x and p are related by the equation jc2 +3xp+/?2 = 4400. This equation determines demand as a function of price, x=Q(p), near the point (p0,x0)=(40, 20). (a) If price is increasing at the rate of 50% per week how fast is demand changing when p=$40? (8points)
#212158
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