Problems Involving Optimization of Polynomial Integrals
Not what you're looking for?
Compute
min (a,b,c) the definite integral from -1 to 1 of |x^8 - a - bx - cx^2|^2 dx
and find
max the definite integral from -1 to 1 of (x^3)(g)(x) dx
where g is subject to the restrictions
the definite integral from -1 to 1 of g(x) dx =
the definite integral from -1 to 1 of xg(x) dx =
the definite integral from -1 to 1 of (x62)(g)(x) dx = 0;
the definite integral from -1 to 1 of |g(x)|^2 dx = 1
Purchase this Solution
Solution Summary
In this solution we find the maxima and minima of various polynomial integrals using properties of Legendre polynomials in an attached Word document.
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability