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研究所、轉學考(插大)-微積分
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96年 - 96 國立屏東教育大學_學士班轉學招生考試試題：微積分#124181
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4. Find the area of the region between the graph of f(x)=3x
3
-x
2
-10x and g(x)=-x
2
+2x.
其他申論題
2. (1)Find the derivative .
#527791
(2)Find given x2+y2=25.
#527792
3.(1)Find the derivative of .
#527793
(2)Find .
#527794
5. Find the radius of convergence of .
#527796
6. A manufacturer of computer components determines that the total cost C of producing x components per week is
#527797
7. An object is moving in the clockwise direction around the unit circle x2+y2=1. As it passes through the point , its y-coordinate is decreasing at the rate of 3 units per second. At what rate is the x-coordinate changing at this point?
#527798
8. A soft-drink manufacturer wants to fabricate cylindrical cans for its product. The can is to have a volume of 12 grams, which is approximately 22 cubic centimeters. Find the dimensions of the can that will require the least amount of material.
#527799
9. Determine if convergence or not.
#527800
10. Find f(t) given that f'(t)=2f(t) for all t and f (0) = 5.
#527801
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