Answer:
Hence both F(19) and F(14) has value for their indices.
Step-by-step explanation:
Given:
A cube with volume =10cm^3
And a function=F(x)=(x-10)^3.
To find ;
Relationship between values at x=19 and x=14.
Solution:
Given that volume of cube =10 c.c.
So (l)^3=10 c.c
l=(10)^(1/3)
l=2.15544 cm
Now
F(x)=(x-10)^3
here x=19
F(19)=(19-10)^3
=(9)^3
=729 cc
Now for x=14
F(14)
=(14-10)^3
=(4)^3
=64 cc
Now concluding from above equation we get ,
The values are 729 and 64
These two can be written in same value of index as follows:
(729)=(9)^3
={(3)^2}^3}.
=(3)^6
And
(64)=(4)^3
={(2)^2}^3
=(2)^6.
Hence both F(19) and F(14) has value for their indices.
