Answer:
volume of a cylinder = π r^2 *h
108π=π*r^2*h
108=r^2*h
12=r^2
3.464=r
radius =3.464
Step-by-step explanation:
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F(x) = ln(x² - 12x)
The derivative is

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)
Answer:
The derivative is

The domain is
(-∞, 0)∪(0, 12)∪(12,∞)
Answer:
Step-by-step explanation:
R(0,0)
A=((0+2a)/2,(0+2b)/2)=(a,b)
S(2a,2b)
B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)
T(2c,2d)
C=((2c+2c)/2,(2d+0)/2)=(2c,d)
V(2c,0)
D=((2c+0)/2,(0+0)/2)=(c,0)
R(0,0)
slope of AB=(b+d-b)/(a+c-a)=d/c
slope of DC=(d-0)/(2c-c)=d/c
slope of AD=(0-b)/(c-a)=-b/(c-a)
slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)
Answer:

Step-by-step explanation:
We were given the slope formula;

This line is vertical if the denominator is zero.
That is when 
This implies that;

Justification;
When
, then, the line passes through;
and 
The slope now become

The equation of the line is

This implies that;




... This is the equation of a vertical line.
Answer:
-0.5, negative 1 over 5, 1 over 9, 1
Step-by-step explanation:
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