Multiplying both sides by 
gives
so that substituting 
and hence 
gives the linear ODE,
Now multiply both sides by 
to get
so that the left side condenses into the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E3v%5D%3D3x%5E2)
Integrate both sides, then solve for 
, then for 
:
![\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Csqrt%5B3%5D%7B1%2B%5Cdfrac%20C%7Bx%5E3%7D%7D%7D)
The keyword is "sum" which tells you x, y, and z are being added. One half of the sum means that the sum of the three numbers is going to be divided by 2.
x + y + z
------------
2
Hello! To solve this problem, all you have to do is add and subtract numbers as needed.
A. An expression for this would be 0.85 + 0.50 + 0.15 - 0.30. This is because there is already juice in the mixture. Celina adds more juice in it and she drinks some of it.
B. Now, let’s solve the expression. 0.85 + 0.50 is 1.35. 1.35 + 0.15 is 1.5. 1.5 - 0.3 = 1.2. The amount of juice left in the jar is 1.2 liters.
Answer:
QS =25
Step-by-step explanation:
QR + RS = QS
18 + (x-11) =2x-11
7 +x =2x -11
18=x
Plug in x
2(18) -11
36-11
QS=25
18 + (18-11) = 2(18)- 11
18+ 7 = 36 -11
25= 25
True
Answer:
C. 139°
Step-by-step explanation:
Given:
m<A = 62°
m<B = 77°
Required:
Find m<1
Solution:
Since ∆ABC is similar to ∆DEF, therefore:
<A ≅ <D, which means m<D = 62°
<B ≅ <E, which means m<E = 77°
<C ≅ <F
Therefore, based on exterior angle theorem:
m<1 = m<D + m<E
m<1 = 62° + 77° (substitution)
m<1 = 139°
