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研究所、轉學考(插大)-微積分
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106年 - 106 台灣綜合大學系統學士班轉學生聯合招生試題:微積分A#98983
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3. (10 points) Write down the first three terms (three lowest order terms) of the
Taylor series of
at O. (Hint:
)
其他申論題
(2)本案中,P國警察能否進入停泊於其港口的T國船舶, 並對本案進行調查?有何法律基礎?(10分)
#413796
(3)T國可否主張擁有「專屬管轄權」?(20分)
#413797
1. (10 points) Given a curve C in defined by In(1-x3+y3)-4=0. Find the point on C at which the tangent line is vertical.
#413798
2. (10 points) If the function is continuous at x= 0, then (a,b) =?
#413799
4. (10 points) Evaluate the following integral:
#413801
5. (10 points) From the equation Solvein terms of x and y
#413802
6. (10 points) Find all values of a so that the series is divergent.
#413803
7. (10 points) Compute the following improper integral
#413804
8. (10 points) Compute the line integralwhereand C is the closed loop formed by traveling from (-2,0) to (4,0) to (3,3) to (-1,3) and back to (-2,0) by straight lines.
#413805
9. (10 points) Given the function F :At (0,0,0), find the direction along which the function decreases most rapidly and find the corresponding rate of change.
#413806