Answer:
Option A
Step-by-step explanation:
The answer is Option A because 
can be writen as 
.
B. triangle and triangular prism
Distribute -3 to the rest of the numbers by multiplying them together. That’s all you need to do you don’t have to solve
Answer:
assuming each person gets one cookie
a 1 1/4 C
b 3/8 tsp
Step-by-step explanation:
divide recipe in half
a 2.5/2=1.25
b 3/4 ÷ 2 ; rewrite to 6/8 ÷2 = .375
Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
