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:

1. $120.66+15.55=$136.21
2. $700.00-$136.21=?
3. The answer is in the 1st and 2nd question
Answer: To check a solution, you can substitute the solutions into the equations and verify that both equations are true.
Step-by-step explanation:
32 is your initial value, because that is what he starts with
Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
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15. m = (250 N)/(5 m/s²) = 50 kg
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16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
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<em>Comment on units</em>
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).