A polynomial is an important concept of mathematics, every student of maths has to learn in detail about polynomials. The concepts of polynomials can be applied in several fields like physics, chemistry, economics, etc. The polynomial function is used in calculus, numerical analysis, algebraic varieties, polynomial rings, algebra, and algebraic geometry. With all its importance, it sometimes poses problems for the students both at the basic and the advanced level. The assignments that are assigned to the student is this particular subject can be tough on the students because given the nature of the subject. To ace any mathematical concept or topic the student has to be impeccable at calculations. Students still being in the learning phase and have not yet mastered the subject and sometimes due to sheer carelessness make mistakes that cost them precious grades in the final assessment. Therefore, we at EssayCorp provide polynomial assignment help to the students in the UK, US, and Australia. Our services are not just limited to assignment help. We provide a wide range of services on hundreds of topics. Our services include polynomial homework help, essay help, dissertation help, thesis help, and much more.
A mathematical expression which comprises of coefficients and variables is referred to as polynomial. The only operations associated with polynomials include addition, multiplication, non-negative integer exponents and subtraction. The application of polynomials includes:
The students during the basic level face a lot of difficulty with the concept of polynomials. They fail to grasp the basic function of the concept and this tends to lead to further problems when they reach the higher courses. The calculations and omission of mathematical signs and mistakes of that short create problems for the students. Lack of knowledge of the polynomial concepts also leads to difficulty in several other subjects and especially in calculus; where the application of this concept is significant.
Other than the basic form, some other types of polynomials which are studied in mathematics are discussed below.
Our experts have knowledge of basic and all complex forms of polynomials which are studied in mathematics.
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Three particles A, B and C lie in that order in a straight smooth groove so that they can only move along the x-axis. Both A and C are of unit mass whilst B is of mass M. Particle B is joined to the other two by identical linear springs of unit stiffness.
(a) If the three particles are displaced from equilibrium by distances x1, x2 and x3 show that the equations of motion are d2x1/dt2 = x2 - x1, M d2x2/dt2 = x3 - 2x2 + x1, d2x3/dt2 = x2 - x3.
(b) Prove that the frequencies of the three normal modes are given by ? = 0, 1 and ?2 = 1 + (2/M). [5 marks]
(c) Describe the motions of the particles corresponding to the normal modes.[4 marks]