C <span>represents the unit rate
hope that helps</span>
Answer:
25
Step-by-step explanation:
Formula
2xy + 1
Givens
x = 3
y = 4
Solve
2*(3)*(4) + 1
24 + 1
25
The answer is 3 ft
The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)
We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r
126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3
One thing you could do is to expand either a factor of
or
, then expand the integrand. I'll do the first.
You have
which means the integral is equivalent to
Substitute
, so that
. This makes it so that the integral above can be rewritten in terms of
as
Now just use the power rule:
Back-substitute to get the antiderivative back in terms of
:
