Answer:
Step-by-step explanation:
To solve for the given variable
, we need to get
on one side of the equation by itself. To do so, we need to remove the -16 that is on the same side of the variable.
To get rid of the -16, we can add a 16 to that side of the equation since
, which will get
by itself; however, if we add -16 to one side of the equation, we must add it to both sides of the equation:


Answer:
It can be either one, if you prefer reading you can ask questions through text, if you prefer talking verbally then I'd say over video is best.
Let's call the 'secret number' <em>x</em>.
A quotient is basically a Dividend/Divisor. If the Divisor is 4, we need to find the dividend, which is <em>x</em>.
<em />Therefore:
<em>x/4=9
</em><em />We need to isolate the variable by the multiplication property of equality.
<em>x=36</em>.
As a result, the "secret number" is 36
Step 1:
Start by putting

in front of each term
![\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5By%20cos%20x%5D%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B5x%5E2%5D%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%203y%5E2%5D)
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Step 2:
Deal with the terms in 'x' and the constant terms
![\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bycosx%5D%3D%2010x%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B3y%5E2%5D%20%20)
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Step 3:
Use the chain rule for the terms in 'y'
![\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bycosx%5D%3D10x%2B6y%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20)
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Step 4:
Use the product rule on the term in 'x' and 'y'


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Step 5:
Rearrange to make

the subject


![[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)](https://tex.z-dn.net/?f=%5Bcos%28x%29%20-%206y%5D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%3D10x%20%2B%20y%20sin%28y%29%20)

⇒ Final Answer