
In order to be differentiable everywhere,
must first be continuous everywhere, which means the limits from either side as
must be the same and equal to
. By definition,
, and


so we need to have
.
For
to be differentiable at
, the derivative needs to be continuous at
, i.e.

We then need to have

Then

Answer:
3052.08
Step-by-step explanation:
We use the volume formula for spheres
πr³
Plug in 9cm for radius and evaluate
π(9)³
π*729
3052.08
Hi <span>Tysona90!
Let's write it with the X as a 3
8*3-4*3_7(10-3) Now let's solve it 8*3 is 24 and 4*3 is 12 so then we do 24-12 which is 12. So now we have 12_7(10-3) so let's solve the other half which is 10-3 is 7 times 7 (since parenthesis can also mean multiplication) which is 49 so we now have 12_49 which means the answer is A.
Hope this helps!</span>
Answer:

Step-by-step explanation:
step 1
<em>Calculate the volume of the cylinder (flower vase)</em>
The volume is equal to

we have
-----> the radius is half the diameter

substitute the values
------> exact value
step 2
Calculate 2/3 of the volume
