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研究所、轉學考(插大)-微積分
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99年 - 99 台灣聯合大學系統(清、交、陽、中四校聯招)學士班轉學生聯合招生試題：微積分#113207
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2. Find the points on the graph of z = 3x
2
- 4y
2
at which the vector n=(3, 2,2) is normal to the tangent plane.
Answer :____________
其他申論題
7. (12%) Use polar coordinates to combine the sum into one double integral . Then evaluate the double integral.
#483625
8. (12%) Show thatconverges and finds its sum .
#483626
9. (12%) Find the local maximun and minimum values and saddle point(s) of the function f(x,y)=x3+y3+3x2-3y2-8
#483627
1. Evaluate the indefnite integral dx.Answer : __________________
#483628
3. What is the value of the double integral dxdy? Answer :__________
#483630
4.What is the largest value that the directional derivative of f(x,y, z) = xyz can have at the point (1,1,1)? Answer :___________
#483631
(a) Determine if the series converges or diverges? (5分)
#483632
(b) Determine if the improper integral converges or diverges?(5分)
#483633
2. Find the maximum area of a rectangle inscribed in the ellipse =1.(10分)
#483634
(a) (6 points)
#483635
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