List all the info:
3/8 gallon of white paint
2 7/8 gallon of blue paint
11/4 gallon of red paint
First, let’s answer the first question.
Francis has made _____ gal of paint when he first mixes the three colors.
Add all the gallons of paints together and you get 6. So, Francis has made 6 gal of paint when he first mixes the three colors.
Now for the second blank. All you have to do is do 6 divided by 3/8 which is 16. So, The constant of proportionality of white paint to gallons of mixed paint is 16.
Lastly, you will have to do is 3/8 x 7 = 2 5/8. (Im not too sure about this part though, but the rest I‘m pretty confident about)
Answer:
a) 
b) 
Step-by-step explanation:
Given integrals are:
---(1)
---- (2)
Standard form
<h3>Part A</h3>
compare (1) with standard form
![[f'(x)]^{2} = 64x^{8}\\f'(x)=\pm 8x^{4}\\f(x)= \pm8\frac{x^{5}}{5}+C](https://tex.z-dn.net/?f=%5Bf%27%28x%29%5D%5E%7B2%7D%20%3D%2064x%5E%7B8%7D%5C%5Cf%27%28x%29%3D%5Cpm%208x%5E%7B4%7D%5C%5Cf%28x%29%3D%20%5Cpm8%5Cfrac%7Bx%5E%7B5%7D%7D%7B5%7D%2BC)
<h3>Part B</h3>
Compare (2) with standard form
![[f'(x)]^{2}=64cos^{2}(2x)\\f'(x)= \pm 8cos(2x)\\f(x)=\pm 8\frac{sin(2x)}{2}+C\\f(x)= \pm 4sin(2x)+C](https://tex.z-dn.net/?f=%5Bf%27%28x%29%5D%5E%7B2%7D%3D64cos%5E%7B2%7D%282x%29%5C%5Cf%27%28x%29%3D%20%5Cpm%208cos%282x%29%5C%5Cf%28x%29%3D%5Cpm%208%5Cfrac%7Bsin%282x%29%7D%7B2%7D%2BC%5C%5Cf%28x%29%3D%20%5Cpm%204sin%282x%29%2BC)
Answer:H)
Step-by-step explanation:
have a nice day
