Answer:
A
Step-by-step explanation:
To know the distance between the two on a number line, we subtract both numbers from each other
Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results
This means that option A is our answer
Answer:
To Prove:
is equal to the sum of its Maclaurin series.
Step-by-step explanation:
If
, then
for all n. If d is any positive number and |x| ≤ d, then
So Taylor's Inequality, with a = 0 and M =
, says that
Notice that the same constant
works for every value of n.
But, since
,
We have 
It follows from the Squeeze Theorem that
and therefore
for all values of x.

By this theorem above,
is equal to the sum of its Maclaurin series, that is,
for all x.
Answer:
I and IV
Step-by-step explanation:
cosine is positive/greater than 0 in quadrants I and IV. Its just a rule of the unit circle.
Can remember by All Star Trig Class
meaning all the trig funtions are positive in quadrant I
sin is positive in II
tan is positive in III
and cos is positive in IV
Answer:
x=-20
Step-by-step explanation:
3x-11=4x+9
3x=4x+20
x+20=0
x=-20