1/3( 4 - 5x - 1)
= (1/3)(4 + - 5x + - 1)
= (1/3)( 4) + (1/3)(- 5x) + (1/3)( - 1)
= 4/3 + - 5x/3 + - 1/3
= - 5x/3 + 1 (Decimal: - 1.666667x + 1)
Hope that helps!!!!
Answer:
152 
Step-by-step explanation:
We know that the total surface area of a cuboid is the sum of the surface area of all six of its faces.
We also know that each opposing side has the same surface area. Thus the total surface area is equal to:
()
Answer:
31.43 oz
Step-by-step explanation:
12.40 + 8.03 + 11 = 31.43
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)
