5 and2/3 divide by 4?
2 answers:
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Answer:
V = 2000r³/3
Step-by-step explanation:
We know that the base is a circular disk, so it creates a circle on the xy plane. It would be in the form x² + y² = r². In other words x² + y² = (5r)². Let's isolate y in this equation now:
x² + y² = (5r)²,
x² + y² = 25r²,
y² = 25r² - x²,
y = √25r² - x² ---- (1)
Now remember that parallel cross sections perpendicular to the base are squares. Therefore Area = length^2. The length will then be = 2√25r² - x² --- (2). Now we can evaluate the integral from -5r to 5r, of [ 2√25r² - x² ]² dx.
As you can see, your exact solution would be, V = 2000r³/3. Hope that helps!
Answer:
The only zero of is
.
Step-by-step explanation:
The function is the inverse of function
.
For a given and a given
,
if and only if
.
Let be a zero of
. That is,
.
By the reasoning above, since and this particular
satisfy
, it must be true that
for the same
and
.
Since and
,
. Therefore,
since
.
Thus, the zero of would be
.