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Question: positive or nagetive?

Question:positive or nagetive?

kh2n 220 Maple
plot
May 20 2011
0

Hi,

F1(S):=1/(R*S-S+1);

G:=R3*k*(1-R1)/(C*Peci);

F(S):=F1(S)*(1-R*S*G);

I want to find, whether F(S) is postive or nagetive considering the following

1. if R3>0 and Peci>0 then F(S)>0 or <0 ?

2. if R3>0 and Peci<0 then F(S)>0 or <0 ?

3. if R3<0 and Peci>0 then F(S)>0 or <0 ?

4. if R3<0 and Peci<0 then F(S)>0 or <0 ?

The rest of the paramters have the following exact domain

R1=0.0006 or R1 belong (0, 1) 

C=2.03

R=22 or R belong (0, 25)

k= 24 or belong (0, 25)

and S belong (0, 1)

the intervals are stricly open intervals.

Please help to find out the nature of F(S). Grapical explaination is always good for me.

Thanks 
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