For a function to begin to qualify as differentiable, it would need to be continuous, and to that end you would require that 
is such that
Obviously, both limits are 0, so 
is indeed continuous at 
.
Now, for to be differentiable everywhere, its derivative 
must be continuous over its domain. So take the derivative, noting that we can't really say anything about the endpoints of the given intervals:
and at this time, we don't know what's going on at , so we omit that case. We want to be continuous, so we require that
from which it follows that 
.
96 inches is shorter than 12 feet. This is because 12 feet in inches is 144 inches, which is greater than 96.
Hope this helps! :D
~PutarPotato
ANSWER: <u><em>you take any number in Ounces and just divide by 16 to get the number converted to pint.</em></u>
<u><em>has to be in ounce though</em></u>
1 ounce = 0.0625 pint
<u>Hope this helped!!!!!!! :D</u>
<u />
Answer:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + b
-3 = -3/2(4) + b
-3 = -6 + b
3 = b
Answer:
Step-by-step explanation:
Instead, since the divisor is in the form of 
, use what is called Synthetic Division. Remember, in this formula, 
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 →
You start by placing the 
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an 
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of .
I am joyous to assist you anytime.
