Suppose you are asked to find the area of a figure in a specific unit of measure, but its side lengths are measured in a differe
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Answer:
The inner function is and the outer function is
.
The derivative of the function is .
Step-by-step explanation:
A composite function can be written as , where
and
are basic functions.
For the function .
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
It tells us how to differentiate composite functions.
The function is the composition,
, of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .
Answer:
The width is:
The length is
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of ,
and
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>From the problem, we know the following data of the problem:
- Laval parked at the beach.
- Laval paid a fixed price of $4 for a pass.
- Laval paid $1.50 for each hour.
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:
Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:
Finally, we can write total cost (C) as the sum of these two expressions:
Finally, our correct option is A:
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:
Finally, he spent 5 hours at the beach