A large city in the ancient world was square-shaped. measured in miles, its area numerically exceeded its perimeter by about 132
1 answer:
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Answer with Step-by-step explanation:
We are given that Laplace's equation
We have to determine given function is solution of given laplace's equation.
If a function is solution of given Laplace's equation then it satisfy the solution.
1.
Differentiate w.r.t x
Then, we get
Again differentiate w.r.t x
Now differentiate u w.r.t y
Again differentiate w.r.t y
Substitute the values in given Laplace's equation
Hence, given function is a solution of given Laplace's equation.
2.
Differentiate w.r.t x
Again differentiate w.r.t x
Now, differentiate u w.r.t y
Again differentiate w.r.t y
Substitute the values then we get
Hence, given function is a solution of given Laplace's equation.
<u>Answer-</u>
<em>End behavior for increasing x represents that </em><em>the height of each bounce will approach 0.</em>
<u>Solution-</u>
From the graph the exponential equation is,
From the properties of negative exponential function properties, as x increases, the value of y decreases.
So, in this case, as x or number of bounce increases, y or the height of bounce decreases. And eventually the value becomes zero.
Therefore, end behavior for increasing x represents that the height of each bounce will approach 0.
