you order two servings of Pancakes in a fruit cup. The cost of the fruit cup is $1.50. You leave a 15% tip. Your total bill is $
1 answer:
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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
Start by putting
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Step 2:
Deal with the terms in 'x' and the constant terms
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Step 3:
Use the chain rule for the terms in 'y'
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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
Answer:
D
Step-by-step explanation:
We will use the 2 coordinates marked on the graph as the reference.
The coordinates are:
A(4,-2)
B(0,3)
We know that the standard form for equation of line is:
y = mx+c
where m is the slope of the equation
and c is the y-intercept.
Very clearly, the y-intercept is where the line intercepts the y line.
and in this case, y-intercept = c = 3.
Now we know that the equation of line is now
y = mx + 3
To find m, the slope, we can use the 2 above coordinates.
slope of line =
(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)
Equation of line:
Therefore the answer is D.