When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.
Based on the given, the useful transformation equation is shown in the attached picture.
When the term is s^2, that must mean that the equation is 1!/s^(1+1) to yield 1/s^2. This means that n=1. Taking the reciprocal s^2 must be equal to 1/t. Thus, for the first term, -11s^2 is equal to -11/t. For the second term, n must be equal to 6 so that 6!/s^(6+1) would yield 720/s^7. Thus, 720s^7 is equal to 1/t^6.
Hence, the transformed equation is
-11/t - 1/t^6
Step-by-step explanation:
When the numbers are converted in standard notation from scientific notation then the exponents of 10 are solved first and then multiplied with the number
Here,
The given number in scientific notation is:
Solving 10^8
10^8 = 100000000
So,
Keywords: Standard notation, scientific notation
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Answer: <em>time = 55.48 years</em>
Explanation:
Given:
Principal amount = $10000
Interest rate = 2% p.a
Amount = $30000
We can evaluate the time taken using the following formula:
Solving the above equation, we get
Now taking log on both sides, we get;
<em>time = 55.48 years</em>