Ntate runs 12 km in 3 hours. how many hours will it take him to run in 1 km
1 answer:
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Answer:
Step-by-step explanation:
The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:
A differential equation of the form:
Will have a characteristic equation of the form:
Where solutions are the roots from which the general solution can be found.
For real roots the solution is given by:
For real repeated roots the solution is given by:
For complex roots the solution is given by:
Where:
Let's find the solution for using the previous information:
The characteristic equation is:
So, the roots are given by:
Therefore, the solution is:
As you can see, is the same solution provided by the problem.
Moving on, let's find the derivative of in order to find the constants
and
:
Evaluating the initial conditions:
And
Now we have found the value of the constants, the solution of the second-order IVP is:
Answer:
Area = 1.54
Step-by-step explanation:
Area = π
π = 3.14
diameter = 1.4
radius (half of diameter) = 0.7
Area = 3.14 x
Area = 3.14 x 0.49
Area = 1.5386
round to the nearest hundredth:
1.5386 = 1.54