Hello,
Very nice like question!
a)
F(2)=3 ; G(2)=2
F'(2)=0; G'(2)=1/2
P'(x)=F'(x)*G(x)+F(x)*G'(x)
P'(2)=0*2+3*1/2=3/2
b)
F(7)=5; G(7)=1
F'(7)=1/4; G'(7)=-2/3
Q'(x)=(F'(x)*G(x)-F(x)*G'(x)) / G²(x)
Q'(7)=(1/4*1-5*(-2/3))/1²=1/4+5/3=23/12
the volume of the sphere is =4/3.pi.r^3
Which ever graph looks like this
Ratio of red roses to yellow roses as given in the question = 4:6
Total number of roses in the question = 50
Let us assume that the common ratio is = x
Then
4x + 5x = 50
10x = 50
x = 50/10
= 5
Then
The number of yellow roses = 6 * 5
= 30
So there are 30 yellow roses among the total of 50 roses. I hope the procedure is simple enough for you to understand. You can use this procedure for solving similar type of problems in future. I hope this has helped you.