Functions and Relations ---
... A polynomial P(x) can always be written in the form a nxn + an-1xn-1 + … + a2x2 + a1x + a0 example: 3x4 + x2 – 2x + 7 __________________ 4x3 + 2x – 3 _________________ The degree of a polynomial provides information as to the number of roots (solutions) the polynomial equation will have. We can ...
... A polynomial P(x) can always be written in the form a nxn + an-1xn-1 + … + a2x2 + a1x + a0 example: 3x4 + x2 – 2x + 7 __________________ 4x3 + 2x – 3 _________________ The degree of a polynomial provides information as to the number of roots (solutions) the polynomial equation will have. We can ...
國立嘉義大學102學年度基礎學科學力競賽試題卷: 科目: 經濟數學 題
... 11. The cost of producing x units of a certain commodity is C ( x) 3x2 5 x 5 dollars. If the price is p(x) = (41 – x) dollars per unit, determine the level of production that ...
... 11. The cost of producing x units of a certain commodity is C ( x) 3x2 5 x 5 dollars. If the price is p(x) = (41 – x) dollars per unit, determine the level of production that ...
Perfect infinities and finite approximation
... homogeneity: a manifold M looks the same in a small neighbourhood of any of its points. This can be expressed in more rigorous terms by saying that there is a local isomorphism between neighbourhoods of any two points of M. 1.3 In fact, an alternative to continuity does exist and is well-known in ma ...
... homogeneity: a manifold M looks the same in a small neighbourhood of any of its points. This can be expressed in more rigorous terms by saying that there is a local isomorphism between neighbourhoods of any two points of M. 1.3 In fact, an alternative to continuity does exist and is well-known in ma ...
Group action
... Division with remainder => Euclidean algorithm => unique factorization. Notice, that there are 6 units. Next we come to a question, which circles of radius N have points on integer lattice and how many. It is the same as representing N in the form a2 – ab + b2 (or, which is an equivalent problem, in ...
... Division with remainder => Euclidean algorithm => unique factorization. Notice, that there are 6 units. Next we come to a question, which circles of radius N have points on integer lattice and how many. It is the same as representing N in the form a2 – ab + b2 (or, which is an equivalent problem, in ...
Maths Leaving Cert Higher Level –Algebra Paper 1
... Factor: If we divide a factor of an equation into that equation there will be no remainder. Roots: The roots of a cubic/quadratic equation will be a factor of the final term, the number without an x. Leaving Certificate 2005, Q2 (b) The cubic equation root and two irrational roots. Express the irrat ...
... Factor: If we divide a factor of an equation into that equation there will be no remainder. Roots: The roots of a cubic/quadratic equation will be a factor of the final term, the number without an x. Leaving Certificate 2005, Q2 (b) The cubic equation root and two irrational roots. Express the irrat ...
