Answer:
Step-by-step explanation:
First, note that
And using the chain rule in one variable
Now remember that the chain rule in several variables sates that
Therefore the chain rule in several variables would look like this.
Answer:
It will take weeks to complete the repair of the stretch of road.
Step-by-step explanation:
Given:
Length of the roads that need repairs =
Length of the road workers can repair in a week =
To find the number of weeks will it take to repair this stretch of road.
Solution:
Unit rate of workers to repair roads = per week.
Total length of the roads to repair =
The number of weeks it will take to repair of road by workers can be given as:
⇒
<em>In order to divide mixed numbers, we convert them first to fractions.</em>
⇒
<em>To divide fractions, we take reciprocal of the divisor and replace division with multiplication:</em>
⇒
⇒
We reconvert the fraction to mixed number.
⇒ weeks
Thus, it will take weeks to complete the repair of the stretch of road.
Answer:
The statement that correctly uses limits to determine the end behavior of f(x) is;
so the end behavior of the function is that as x → ±∞, f(x) → 0
Step-by-step explanation:
The given function is presented here as follows;
The limit of the function is presented as follows;
Dividing the terms by x², we have;
As 'x' tends to ±∞, we have;
However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;
Therefore, we have;
The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;
so the end behavior of the function is that as x → ±∞, f(x) → 0.
Thank you so much, you too.
I think you are missing some vital information.