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研究所、轉學考(插大)-微積分
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97年 - 97 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#113210
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1. If f'(0) =-1, find
.Answer : ________
其他申論題
7. Evaluate where R is the trapezoidal region with vertices (1,0), (2,0), (0,2) and (0,1).
#483654
8. Let f(x,y) = x4+y4-4xy + 1. Find local maxima, local minima, and saddle points of f(x, y).
#483655
9. Find the absolute maximum value and absolute minimum value of f(x,y) =x4+y4 -4xy + 1 on the disk x2+y2≤1.
#483656
10. Solve the differential equation xy' = y + x2 sin x with y(π) = 2π.
#483657
2. Find dt. Answer:_________
#483659
3. Convert the integral dzdydx to an equivalent integral in cylindrical coordinates. Answer :__________(Do not evaluate the integral).
#483660
4. Evaluate the integral Answer : ____________
#483661
5. Find the point on the graph of z = x2 + y2 + 10 nearest the plane x + 2y- z = 0. Answer :__________
#483662
6. The derivative of f(x, y) at P0(1, 2) in the direction of i + j is and in the direction -2j is -3. What is the derivative of f in the direction of -i -2j?Answer :__________
#483663
7.the area of cap cut from the sphere x2 + y2 + z2 == 2 by the cone z =.Answer :__________
#483664
.Answer :
________
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.Answer :
________