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:
Suppose you are in a building at 28 feet above ground level and you take an
escalator down to ground level. On the escalator, your distance above ground level
changes by - 2 feet per second. Write a linear function to describe the distance d
that
you are from ground level over time t in seconds.
Step-by-step explanation:
For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as: 
Then, the complete expression is represented as:

Adding 10 to both sides of the equation:

Thus, the value of the variable is 
Answer:

Answer:
h - 18 = 67
Step-by-step explanation:
If h is her height, then her height minus 18 is 67, or h - 18 = 67