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101年 - 101 國立中山大學轉學生招生考試試題_資工系學士班二年級:微積分#116768
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題組內容
3. (10%, 5% for each) Evaluate the definite integrals:
(a)
其他申論題
(d)y=xx,x>0
#498894
(a)
#498895
(b)
#498896
(c)
#498897
(b)
#498899
(a)
#498900
(b)
#498901
5. (20%) The region bounded by the curve y= , the x-axis, and the line x = 4 is revolved about the y-axis to generate a solid. Find the volume of the solid.
#498902
6.(15%) Show that the point (-1, 3) lies on the curve x2y2 = 9 . Then find the functions of the tangent and normal lines to the curve at this given point (-1, 3).
#498903
二、填充題:1. 設a,b為正實數,且ab = 32,則a+2b的最小值為________。
#498904