The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
So for f(x) = x² on [1, 5], the AROC of f is
Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere =
Where r = radius of the sphere = units
36π =
36π =
36×24 = 4x³
x =
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
Answer:
D.
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms.
<h3>Factor by Grouping</h3>Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.
In the second step, we can see that we can rewrite as
, as both the two terms share a common factor of
. We can pull out
from that expression. Similarly,
and
share a common factor of
, so we can pull that out.