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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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9. The interval of convergence of the power series
is _________
其他申論題
5. Let y=mx+b be the equation for the line tangent to the graph of the equation x2y2=16 at the point (2, 2). Then m+b=_________
#530011
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
10.=_________
#530016
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
is _________
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is _________