First, solve the differential equation by integrating it:
y' + 3y = 0
dy/dx + 3y = 0
dy/dx = -3y
dy = -3ydx
-∫dy/3y = ∫dx
-(1/3)lny = x
e^(lny) = e^(-3x)
y = e^(-3x)
Therefore, that means that the m is equal to -3.
Answers:
- Lateral Area = 108 square km
- Surface Area = 120 square km
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Explanation:
Think of the triangles as the floor and ceiling of this 3D room. The walls are the three rectangular sides.
We have a 9 by 4 wall with area 9*4 = 36 square km
We have a 9 by 3 wall with area 9*3 = 27 square km
We have a 9 by 5 wall with area 9*5 = 45 square km
The lateral area is 36+27+45 = 108
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The two triangles form the base faces of this prism.
Let's find the area of one of the triangles
area = 0.5*base*height = 0.5*3*4 = 6
One triangle has area 6, so both triangles in total have area 2*6 = 12 square km.
The total surface area is therefore 108+12 = 120 square km
Answer:
200 for 2/3 of a year
Step-by-step explanation:
8 × 25 = 200