Question

Create one application question at a time related to the following and ask for the answer.

1. Taylor series

2. Complex Root of Equation-Newton-Rabson Method and/or Muller Method Mixed

3. Solution of a system of linear equations-Must include LU decomposition

4. Eigenvalues and Eigenvectors

5. Curved Connection-Least Squares Regression Method

Answer 1

Solution 1: Taylor series has applications in various fields including mathematics, computer science, biology, etc. Let us understand one of its applications in Electrical Engineering. It helps the scientists to calculate the power flow within the electrical systems that helps them to design the power systems in an efficient manner.

Solution 2: Complex roots are most helpful in the approximation of the voltages, magnetic fields in the field of Electrical Engineering. Newton-Raphson method is a method of approximating the roots of a real-valued function.

Solution 3: A system of linear equations help the scientists and mathematicians to solve the system of linear equations and finding their solutions. These equations may represent anything, for example, the problems involving interest and money, approximating the motion of the moving bodies, astronomical eqautions, etc.

Solution 4: Eigenvalues and eigenvectors are widely used in the field of image processing and data science. Eigenvectors and eigenvalues can be used for reducing the dimensionality of the vectors present within the data.

Solution 5: Ordinary-Least Squares regression method is widely used for the prediction of the continuous variables in the field of data science. It can be used for predicting the price of the homes and other stuff on the basis of a number of factors or features present within the data.

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