The volume of a cube is given by V(s)=s3 s
3
where s is the cube's side-length.

a) What's the domain of V? Explain

b) If a cube has a side-length of 3 ft, what's its volume?

c) If a cube has a volume of 512 ft3
3
, what is its side-length?

108 cm ³

Explanation:

We are given the volume function:

V = s3

The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.

( s3) = 3²

We now plug in s = 6

3s2 = 3 (6) ² = 108 ²

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval