[考古] 交大89、90
89電物、應數、應化
2.Find the Taylor series of the function f(x)=1/(2x-1) in powers
of x-2.
5.Let f:[0,1]-> R be a differentiable function defined on the closed
interval[0,1]. Show that if f'(0)>0 and f'(1)<0 then there exists a
c 0<c<1 such that f'(c)=0.
7.Find the absolute maximum and minimum values of f(x,y)=2+2x+2y-x^2-y^2
on the triangular plate in the first quadrant bounede by x=0,y=0
and y=10-x.
89管理、運管、工管
2.Find f'(x) for
|x+1|, x<0
f(x)= 1+arcsinx, 0<=x<1
π/2 + ln(x^lnx), 1<=x
5. r=1-2cosθ 介於內圈和外圈中間的面積該怎麼列式?
8.The intersection of surface z=x^2+4y^2 and place 2x-4y+z=14
is a curve C. Find the equaton for the tangent line to C
at the point(3,1/2,10).
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 203.70.89.80