This usually applies to word problems with several variables which are 'connected' in the story. There are also some additional statements about cost or profit.
The constraints are used to write equations. These are graphed and there is usually an enclosed space, Because all the equations form straight lines, hence the name linear programming. Intersections of these lines gives pionts where the max profit or min cost will occur.
Take these points and put them into the cost/profit equation to find the max/min.
The fundamental theorem is that the max/min will occur at these intersection points that is the whole point of graphing and finding the intersections.
look in google if not there, look in wikipedia. fundamental theorem of algebra and their proofs
The Fundamental theorem of arithmetic states that every naturalnumber is either prime or can be uniquely written as a productof primes.
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The fundamental theorem of arithmetic or the unique factorisation theorem would fail.
Fundamental theorem of arithmetic :- Every composite number can be expressed (factorized) as a product of primes, and this factorization is unique . apart from the other in which factors occur.
Carl Friedrich Gauss...
He is responsible for the FTC, or fundamental theorem of calculus.
The prime factorisation theorem is also known as the fundamental theorem of arithmetic. So in that context, it does.
Algebra is used for mathematics
Because otherwise the fundamental theorem of arithmetic, the unique factorisation theorem, would fail.
The fundamental theorem of arithmetic states that every integer greater than 1 is either a prime number or can be written as a product of prime numbers. In the latter case, the prime numbers are uniquely determined apart from the order in which they appear. The theorem is also known as the unique prime factorisation theorem - for obvious reasons.
We need more information. Is there a limit or integral? The theorem states that the deivitive of an integral of a function is the function