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研究所、轉學考(插大)-微積分
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93年 - 93 中原大學_進修學士班招生考試_理工、化學、工學(進修部)群組二年級_應用數學系：微積分#124603
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6. Let F be a function such that F(1)=10,F(3)=40 and F'(x)=ax4+bx2+c, where a, b, and c are constants. Then =_________
#530012
7. If y=, then =_________
#530013
8. =_________
#530014
9. The interval of convergence of the power series is _________
#530015
11.If f(x,y)=x³-3xy+4y² and , then the directional derivative =_________
#530017
12.The global minimum value of f(x,y)=2x²+3y²-4x+6 on the region R= is _________
#530018
1. If is a vector-valued function and let c be a constant. Show that if is differentiableon come interai I and if =0 for all t ∈ I be I then are orthognal for all t ∈ I .
#530019
2. Let f be differentiable on an open interval I. Use the mean value theorem to show that iff'(x)>0 for all real x in I, then f increases on I.
#530020
IV. Writing (30%)The COVID pandemic impacts our society in various ways. How does it affect your mentality, and how do you cope with the issues caused by the pandemic situation? Please use examples to illustrate your point and support your argument (300 words).
#530021
IV. Essay Writing (30%). You must answer on the answer sheet.Directions: Human euthanasia (mercy killing) has recently drawn much attention in Taiwan. Do you think that euthanasia should be made legal in Taiwan? Write an English essay (at least 300 words) to express your opinion.
#530022
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