<h2>
Answer:</h2>
The derivative of the function f(x) is:

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Step-by-step explanation:</h2>
We are given a function f(x) as:

We have:

( Since,
)
Hence, we get:

Also, by using the definition of f'(x) i.e.

Hence, on putting the value in the formula:

Hence, the derivative of the function f(x) is:

Answer:
d. -38
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is as follows:

In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:

In this question:

17th term:

So the correct answer is:
d. -38
Answer:
The amount of money Angelica will have at the end of five weeks if d = $25 is $175.
Step-by-step explanation:
The given information are;
The allowance Angelica earns for baby sitting = d dollars per week
The amount she receives as allowance = $10 per week
The amount she will have at the end of 5 weeks = (10 + d)·5
The amount, A, of money Angelica will have at the end of five weeks if d = $25 is given as follows;
A = (10 + 25) × 5 = $175
The amount of money Angelica will have at the end of five weeks if d = $25 is $175.
Answer:
Temperature is the measure of hotness or coldness expressed in terms of any of several scales. An example would be "The cup of beans are boiling hot and has a temperature of 100 °C, whereas the water in the tub is just comfortably warm, with a temperature of about 38 °C. Although the water in the tub has a much lower temperature, it has greater thermal energy".
Step-by-step explanation: