Mathematic Modeling, Mathematics

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Example of factoring quadratic polynomials, Factor following polynomials. ...

Factor following polynomials.                               x 2 + 2x -15 Solution x 2 +2x -15 Okay since the first term is x 2 we know that the factoring has to ta

Prove gcd value, Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc f...

Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.

Prime number, Prime number A prime number is a number whose only +ve fa...

Prime number A prime number is a number whose only +ve factors are 1 and itself. For instance 2, 3, 5, and 7 are all of the examples of prime numbers.  Examples of numbers whic

Write first-order formulas over the relational symbols, Consider the unary ...

Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, r

Algebria, solve and graph the solution set 7x-4 > 5x + 0

solve and graph the solution set 7x-4 > 5x + 0

Determine the minimum cost , A company is taking bids on four construction ...

A company is taking bids on four construction jobs. Three Contractors have placed bids on the jobs. Their bids (in thousands of dollars) are given in the file. (A blank indicates n

Forced - damped vibrations, It is the full blown case where we consider eve...

It is the full blown case where we consider every final possible force which can act on the system. The differential equation in this case, Mu'' + γu'  + ku = F( t) The displ

Algebra, 1 ream uses 6% of a tree, Estimate the reams of paper used in one ...

1 ream uses 6% of a tree, Estimate the reams of paper used in one month in an office(may be your father, mother or neighbour), hence find the number of trees that need to be cut fo

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