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89年 - 089 學士後西醫：微積分#84972
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題組內容
1. Label each statement as true or false. (20%)
其他申論題
4. 有學者指出乘法是「單位量的轉換活動」，請以乘法文字題「一隻青蛙 四條腿，六隻青蛙幾條腿？」為例，說明其中的單位量是如何轉換的？ (8%)
#342465
#342466
#342467
(c) If f(1)＞0 and f(3)＜0，there exists a number c between 1 and 3 such that f(c)=0.
#342468
(e) The average value of the function f(x)=1+x2 on the interval [-1, 2] is 2.
#342470
#342471
#342472
#342473
(i) If f has continuous first partial derivatives in a neighborhood of the point (a, b), then f can have all of its directional derivatives at (a, b).
#342474
(j) If fx and fy both exist and equal at (a, b), then f is continuous at (a, b).
#342475
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