Answer:
A
Step-by-step explanation:
i just had this problem
Answer:
Step-by-step explanation:
we are asked to find the volume of solid that lies within both the cylinder
and
the sphere
Conversion from rectangular to cylindrical is
|J| =r
In cylindrical coordinates the volume is bounded by the cylinder r=5 and
Hence we can write volume as
The answer for the first blank is 36 and the answer for the second blank is 97.
To complete the square, we first take half of the value of b. The value of b in this equation is -12; -12/2 = -6.
Next we square the value we just got: (-6)² = 36.
This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36
Combining like terms on the right, we have
x²-12x+36=97
<span>The
associative rule is a rule about when it's safe to move parentheses
around. You can remember that because the parentheses determine which
expressions you have to do first--which numbers can associate with each
other. It looks like this:
For addition: (a + b) + c = a + (b + c)
For multiplication: (ab)c = a(bc)
The commutative property is about which operations you can do backward
and forward. You can remember this by thinking of people commuting to
work: they go to work every morning, then they repeat the same operation
backward when they commute home. It looks like this:
For addition: a + b = b + a
For multiplication: ab = ba
Finally, the distributive property tells you what happens when you
distribute one operation against another kind in parentheses. It looks
like this:
a * (b + c) = ab + ac
In other words, the a is "distributed" over the b and c.
Of course, you can make these work together:
a * (b + (c + d))
= a * ((b + c) + d) (by the associative property)
= a * (d + (b + c)) (by the commutative property)
= ad + a (b + c) (by the distributive property)
= ad + ab + ac (by the distributive property again).
Hope this helps. </span>
