Answer:
Answer: 155.12km
Step-by-step explanation:
sin(64˚) x 78 = 70.11 (2DP)
70.12 (2DP) + 85 = 155.1059356 (155.12 - 2DP)
Answer:
Option A, 
Step-by-step explanation:
Given: Deborah bought a computer for 
off the list price.
The list price is 
.
To find: The amount Deborah spent on the computer.
Solution: We have,
List price of the computer 
.
Deborah bought the computer for off the list price.
The amount Deborah spent on the computer 
.
So, Deborah spent on the computer.
Hence, option A is correct.
Answer:
5
Step-by-step explanation:
<u>Steps of calculation:</u>
- 7 + 1 - 18 : 6 =
- 7 + 1 - 3 =
- 8 - 3 =
- 5
Answer is 5
Answer: 7
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)
