Answer:

Step-by-step explanation:
Given


Required
Find the Taylor series
The Taylor series of a function is defines as:

We have:




This gives:

We have:

Differentiate

This gives:

We have:

Differentiate

This gives:

We have:

Differentiate

This gives:


So, we have:





becomes

Rewrite as:

Generally, the expression becomes

Hence:

Answer:
the first blank is 10
and the second blank is 5
Step-by-step explanation:
Answer:
The point at (-7, -5) = a
The point at (9, 3) = b
The point at (-3, 7) = c
The "a" point of the triangle is 12 units away from the center point.
So, 12 x 1/4
=> 12/4
=> 3
So, the "a" point of the dilated figure is 3 units left from the center.
=> So, the dilated "a" point is at (2, -5)
The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.
=> 8/4 = 2
So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.
=> So, the dilated "b" point is at (6, -3)
The "c" point is 12/8 units away from the center point.
=> 12/8 x 1/4
=> 3/2
So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.
=> So, the dilated "c" point is at (3, -2)
$11 per hour. Divide 82.5 by 7.5 and you get how much money she earns in an hour (11 dollars)