1.Find the critical points and extrema of Z=f(x,y)=xe^xsiny
算的結果
f(x)=sinye^x+sinyxe^x=0
f(y)=xe^xcosy=0
算出(-1,π/2)(-1,-π/2)
這是它的critical point嗎 ?
然後再把兩點帶入f(x,y)求極值
ep
2.Sketch the graph about the polar coordinates r=----------- 0<=θ<=2π
1+ecosθ
and e,p>0 (Hint:discuss the case(i)e=1 (ii)0<e<1 (iii)e>1)
請問這題要從何處開始算
∞
3.Sequence{an} whose the first three term are:
n=1
a1=1+1/2 , a2=1+1/(2+1/2) , a3=1+1/[2+1/(2+1/2)]
(1)what is the fifth term?
(2)Give the general form of an
(3)Is the sequence {an} convergence or divergence ? If convergence then
find it's limit else state the reason for divergence
這題也是不知該用什麼公式算
感謝版友指導解題
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