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首頁 > 研究所、轉學考(插大)-微積分 > 102年 - 102 國立成功大學轉學生招生考試試題_微積分_(商管系所聯招)#113206 >

7. (12%) Use polar coordinates to combine the sum into one double integral . Then evaluate the double integral.

其他申論題

3. (12%) Give In(x2+y2)+2·=0, find the values of and when x=0 and y=1.

4. (10%) Evaluate

5. (10%) Evaluate ∫x·In(1+x2)dx.

6. (12%) Evaluate

8. (12%) Show thatconverges and finds its sum .

9. (12%) Find the local maximun and minimum values and saddle point(s) of the function f(x,y)=x3+y3+3x2-3y2-8

1. Evaluate the indefnite integral dx.Answer : __________________

2. Find the points on the graph of z = 3x2 - 4y2 at which the vector n=(3, 2,2) is normal to the tangent plane. Answer :____________

3. What is the value of the double integral dxdy? Answer :__________

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 :___________

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