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81年 - 81 中原大學轉學生招生考試_應用數學系：微積分#124621
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7. Find the extrema, if any, of the function f defined by f(x,y) = x
6
+ y
2
- 6x + 2y -1.
其他申論題
(b)
#530161
4. Find the volume of the solid generated by revolving about the x-axis the region bounded by the curves y = x and y = x².
#530162
5. Assume that is convergent. Is convergent? Prove your answer.
#530163
6. Evaluate , where S is the first quadrant sector of the circle x² + y² = 4 between y = 0 and y = x.
#530164
8. Evaluate .
#530166
9. Find the equation of the plane through the three points A(-1,2,0), B(5,-1,3), and C(4,0,-2).
#530167
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#530168
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#530170
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#530172
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