Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft
Therefore it's Area is equal to : -
Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~
that is ~
It's time to find the volume of cube that is ~
So, let's plug the value of side length (1/2 ft)
Volume is equal to ~
Hence, the required 1/8 or 0.125 ft³
I hope it helped ~
Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.