Answer:
162
Step-by-step explanation:
6+3 = 9
k = 18*9
k = 162
To find the derivative of this function, there is a property that we should know called the Constant Multiple Rule, which says:
![\dfrac{d}{dx}[cf(x)] = cf'(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Bcf%28x%29%5D%20%3D%20cf%27%28x%29)
(where 
is a constant)
Remember that the derivative of 
is 
. However, you may notice that we are finding the derivative of 
, not 
. So, we are going to have to use the chain rule. To complete the chain rule for the derivative of a trigonometric function (in layman's terms) is basically the following: First, complete the derivative of the trig function as you would if what was inside the trig function is 
. Then, take the derivative of what's inside of the trig function and multiply it by what you found in the first step.
Let's apply that to our problem. Right now, I am not going to worry about the 
at the front of the equation, since we can just multiply it back in at the end of our problem. So, let's examine 
. We see that what's inside the trig function is 
, which has a derivative of 2. Thus, let's first find the derivative of as if was just and then multiply it by 2.
The derivative of would first be 
. Multiplying it by 2, we get our derivative of 
. However, don't forget to multiply it by the that we removed near the beginning. This gives us our final derivative of .
Remember that we now have to find the derivative at the given point. To do this, simply "plug in" the point into the derivative using the x-coordinate. This is shown below:
![-\cot[2(\dfrac{\pi}{4})]\csc[2(\dfrac{\pi}{4})]](https://tex.z-dn.net/?f=-%5Ccot%5B2%28%5Cdfrac%7B%5Cpi%7D%7B4%7D%29%5D%5Ccsc%5B2%28%5Cdfrac%7B%5Cpi%7D%7B4%7D%29%5D)
Our final answer is 0.
Answer:
4
-20
-12
Step-by-step explanation:
g(4)
= 4(4)-12
= 16-12
= 4
g(-2)
=4(-2)-12
=-8-12
=-20
g(0)
=4(0)-12
=0-12
=-12
I believe the answer is $17.50, she earned $30 off of $600 meaning she had a 5% interest rate and 5% of 350 is $17.50
The fraction that represents the addition model shown above will be 53/100.
<h3>How to solve the fraction?</h3>
From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.
Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.
Therefore, the problem that represents the addition model shown above will be:
= 5/10 + 3/100
= 50/100 + 3/100
= 53/100
In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.
Learn more about fractions on:
brainly.com/question/78672
