Answer:
97.35
Step-by-step explanation:
355.5 - 235.5 -22.65
I am subtracting 235.5 and 22.65 from 355.5 because I am spending that much money on the things.
=> 355.5 - 235.5 - 22.65
=> 120 - 22.65
=> 97.35 rupees
So, 97.35 rupees is left
An acute angle is infact 90 degrees, therefore your answer is correct.
Answer:
12
Step-by-step explanation:
.......................
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)
They show the decomposition of a multiplication expression into smaller parts
