For the 1st one, its 1, and 2
For the 2nd question its -3
Ounce of blue dye mixed with one gallon of white paint base = 3/4
Ounce of blue dye mixed with eight gallons of white paint base =
= 3 × 2
=6
Ounce of pink dye mixed with one gallon of white paint base = 2/3
Ounce of pink dye mixed with eight gallons of white paint base =
= 16/3
= 5.3
Hence, 6 ounce of blue dye and 5.3 ounce of pink dye are needed to mix with 8 gallons of paint.
=6
I hope y’all have a good day!!
If that is a multiplication sign then the answer is 12. But if that is 5x^4 then the answer is -(5x^4-32)
Answer:
y=x/2-1/4
Step-by-step explanation:
From exercise we have
C=0.
dy/dx+2y=x
Use the formula:
∫xe^(2x)dx=e^(2x)(x/2−1/4).
We know that a linear differential equation is written in the standard form:
y' + a(x)y = f(x)
we get that: a(x)=2 and f(x)=x.
We know that the integrating factor is defined by the formula:
u(x)=e^{∫ a(x) dx}
⇒ u(x)=e^{∫ 2 dx} = e^{2x}
The general solution of the differential equation is in the form:
y=\frac{ ∫ u(x) f(x) dx +C}{u(x)}
⇒ y=\frac{ ∫ e^{2x}· x dx + 0}{e^{2x}}
y=\frac{e^{2x} (x/2-1/4)}{e^{2x}
y=x/2-1/4