How would I find the expected difference of this function? ### Piecewise Function DescriptionIn mathematics, a piecewise function is defined by different expressions for different intervals of the domain. Here, we have a two-variable function \( f(x,y) \) defined as follows:\[ f(x,y) = \begin{cases} \frac{3} {380000} (x^2 + y^2) & \text{if } 20 \leq x \leq 30 \text{ and } 20 \leq y \leq 30 \\0 & \text{otherwise}\end{cases} \]Let's break this down:- For \( x \) and \( y \) values within the inclusive range of 20 to 30, the function \( f(x,y) \) is given by: \[ f(x,y) = \frac{3} {380000} (x^2 + y^2) \] - For \( x \) and \( y \) values outside the aforementioned range, the function \( f(x,y) \) takes on a value of 0.**Explanation:**1. **Case 1: \( 20 \leq x \leq 30 \) and \( 20 \leq y \leq 30 \)** - Within this range, the function combines the squares of the variables \( x \) and \( y \) and multiplies the result by \(\frac{3}{380000}\).2. **Case 2: Otherwise** - If \( x \) and \( y \) values do not fall within the defined range (either \( x \) or \( y \) or both fall outside 20 to 30), the function equals zero.This type of function is useful in modeling real-world phenomena where different rules apply to different ranges of data.

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Description: How would I find the expected difference of this function? ### Piecewise Function DescriptionIn mathematics, a piecewise function is defined by different expressions for different intervals of the domain. Here, we have a two-variable function \( f(x,

From the given information, the joint density function for X and Y is, Consider,

Answered: 3 (x² + y²) 20 < x < 30, 20

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3 (x² + y²) 20 < x < 30, 20

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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