Answer:
As consequence of the Taylor theorem with integral remainder we have that

If we ask that
has continuous
th derivative we can apply the mean value theorem for integrals. Then, there exists
between
and
such that

Hence,

Thus,

and the Taylor theorem with Lagrange remainder is
.
Step-by-step explanation:
True.
The square root of 12: √12 = 3.464101......
This continues indefinitely and can not be represented as a ratio of two integers.
So it is not rational, that is irrational.
Answer:
0, 3
Step-by-step explanation:
Answer:
and
.
Step-by-step explanation:
So I believe the problem is this:

where we are asked to find values for
and
such that the equation holds for any
in the equation's domain.
So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).
In other words this will clear the fractions.


As you can see there was some cancellation.
I'm going to plug in -7 for x because x+7 becomes 0 then.




Divide both sides by -10:


Now we have:
with 
I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.




Divide both sides by 10:


So
and
.
Answer:
Absolute error = 39
Percent Error = 6.10%
Step-by-step explanation:
Actual value = 639 pounds
Observed Value = 600 pounds
The formula to find absolute error is:
Absolute Error = Actual value - Observed Value
= 639 - 600
= 39
The formula to find Percent error is:
Percent Error = (Actual value - Observed Value / Actual value)*100
= (639 - 600/639)*100
= 6.10%