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.
1)
8.75 * 20 = 175
8 * 20 = 160
175 - 160 = 15
He'd make $15 more working at the amusement park.
2)
Semi-monthly means twice a month. So, her company is going from 2 to 4 pay periods.
3280 * 2 = 6560 (is what she makes per month)
6560/4 (because 4 weeks in a month) = 1640
OR (An alternative method.)
3280/2 = 1640
She'll be paid $1640 per week.
4)
105,000/12 (12 months in 1 year) = 8750 (He makes this per month)
8750 * 2 = 17500
He makes 17500 semi monthly
8750 /4 = 2187.5
2187.5 * 2 (because bi-weekly) = 4375
He makes 4375 bi-weekly
8750/4 = 2187.5
He makes 2187.5 every week
Dont forget to add the dollar signs. I didnt add them, but you need to. If you need me to add them I can.
Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2 -x -20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
When the shape reflects about the x-axis, the x-coordinate is unchanged but the y-coordinate becomes negative. When the shape reflects about the y-axis, the y-coordinate is unchanged but the x-coordinate becomes negative.
Step-by-step explanation:
Directly from edmentum
Answer:
Y = -3x + 4
Step-by-step explanation:
