Answer:
45in.
Step-by-step explanation:
Answer:
So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.
<u>Given </u><u>:</u><u>-</u>
- Slope of the line is -3/2 .
- It passes through (-3,3) .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The equation of the line .
<u>Solution</u><u> </u><u>:</u><u>-</u>
Here it's given that ,
And a point that is (-3,3) . We can use the<u> point</u><u> slope</u><u> form</u><u> </u>of the line which is ,
Substituting the respective values,
Simplify,
Simplify by opening the brackets ,
Add 3 on both sides ,
Add ,
This is the required answer in slope intercept form .
A) State the chain rule for integration
Ans. The chain rule for integration is also known as " Integration by substitution "
Integration by substitution is taken in order to make integration solve easily in few steps.
For, 
Instead of expanding term 
With substitution of
and 
We simplified the integration as


By replacaing value of u=x+2

B) State the rule of differentiation for the sine function.
Ans. We know that 
C) Find the indefinite integral using substitution.
Ans.
Given, 
Take y = Sin14x
Differentiating both side


Substituting values in integration,




Replacing values in the integration

D)Check your work by taking a derivative of your answer from part C.
Ans.
Answer for Part C is 
Differentiating the answer
we get,
![=\frac{1}{14}\frac{d}{dx}[ ln(Sin14x) + C]\\=\frac{1}{14}\frac{1}{Sin14x} \frac{d}{dx}(Sin14x)+ \frac{d}{dx}C\\=\frac{1}{14}\frac{1}{Cos14x}(14Cos14x)\\=\frac{Cos14x}{Sin14x} \\ =I](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B14%7D%5Cfrac%7Bd%7D%7Bdx%7D%5B%20ln%28Sin14x%29%20%2B%20C%5D%5C%5C%3D%5Cfrac%7B1%7D%7B14%7D%5Cfrac%7B1%7D%7BSin14x%7D%20%5Cfrac%7Bd%7D%7Bdx%7D%28Sin14x%29%2B%20%5Cfrac%7Bd%7D%7Bdx%7DC%5C%5C%3D%5Cfrac%7B1%7D%7B14%7D%5Cfrac%7B1%7D%7BCos14x%7D%2814Cos14x%29%5C%5C%3D%5Cfrac%7BCos14x%7D%7BSin14x%7D%20%5C%5C%20%3DI)