The data are bunched towards the higher values above the mean, but spread out to values below the mean. Therefore the median provides a better description of the center.

7 0

3 years ago

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Find all values of m so that the function y = xm is a solution of the given differential equation. (Enter your answers as a comm

blagie [28]

Answer:

m = 6,9

Step-by-step explanation:

We are given that $y = x^m$ is a solution to given differential equation.

$x^2y'' - 14xy' + 54y = 0$

First we 3evaluate the value of:

$y'' = m(m-1)x^{(m-2)}$

$y' = mx^{(m-1)}$

Putting these value in the above differential equation, we get,

$x^2m(m-1)x^{(m-2)} + 14xmx^{(m-1)} + 54x^m = 0$

$x^m[m(m-1) -14m + 54] = 0$

$x^m(m^2 - 15m + 54) = 0$

$(m^2 - 15m + 54) = 0$

$(m-9)(m-6) = 0$

$m = 9,6$

Thus, for m = 9,6 , the function $y = x^m$ is a solution of given differential equation.

8 0

3 years ago

Evaluate S5 for 600 + 300 + 150 + … and select the correct answer below

uysha [10]

The anwser is A 1162.5.

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3 years ago

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