Question

Y =5cosx+8 E(y)= ????

Answer 1

Косинус икс меняется от минус до плюс единицы, включительно, 5 косинусов от минус до плюс пяти, а

-5+8≤5cosx+8≤5+8

3≤5cosx+8≤13

E(y)=[3;13]

Answer 2

To find the expected value E(y) of the given function Y = 5cos(x) + 8, we need to calculate the average value of the function over its entire domain. Since the function is continuous and periodic (cosine function), we can calculate the expected value using integration.

The expected value E(y) is given by the following integral:

E(y) = (1 / (b - a)) * ∫[a to b] y dx

Where:

• a and b are the limits of the domain of the function.
• y is the function itself, in this case, Y = 5cos(x) + 8.

However, you haven't specified the limits of the domain (the range of x-values over which you want to find the expected value). Without this information, I cannot provide a specific numerical answer.

If you provide the limits of the domain (the values of 'x' over which you want to find the expected value), I can help you with the calculation. Otherwise, I can provide a general expression for E(y) over a specific interval if you specify it.