Answer: 9
Step-by-step explanation:

Based on the given data set:
x 1 2 3 4 5
y 1 8 27 64 125
the relationship between the two variables is notably:
y = x^3
this formula represents the volume of a cube:
V = s^3
Therefore, the answer is C) Side length and volume of a cube.
Answer:
the answer is 8/5
Step-by-step explanation:
Let's check if the ODE is exact. To do that, we want to show that if

then

. We have


so the equation is indeed exact. We're looking for a solution of the form

. Computing the total differential yields the original ODE,


Integrate both sides of the first PDE with respect to

; then

where

is a function of

alone. Differentiate this with respect to

so that



So the solution to this ODE is

i.e.