functions. The Scilab syntax is simple‚ and the use of matrices‚ which are the fundamental object of scientific calculus‚ is facilitated through specific functions and operators. These matrices can be of different types including real‚ complex‚ string‚ polynomial‚ and rational. Scilab programs are thus quite compact and most of the time are smaller than their equivalents in C‚ C++‚ or Java. Scilab is mainly dedicated to scientific computing‚ and it provides easy access to large numerical libraries from
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a n times differentiable function around a given point by a n-th order Taylor-polynomial. For analytic functions the Taylor polynomials at a given point are fixed order truncations of its Taylor’s series‚ which completely determines the function in some locality of the point. There are numerous forms of it applicable in different situations‚ and some of them contain explicit estimates on the approximation error of the function by its Taylor-polynomial. Some examples of Taylor’s theorem are: Ex. 2) Expand log
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natural number factors other than itself and 1. The number “2” is the only prime number that is even. “0” and “1” are not prime numbers. A natural number greater than 1 that is not a prime number is a composite number. Factoring Polynomials Polynomials: Basic Operations An algebraic expression involving only nonnegative-integer powers of one or more variable and containing no variable in a
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bingo. Every student gets a bingo card to play. The way Ms. Nomial plays it is that she writes polynomials on the board‚ the students have to fully factor each polynomial. After they have factored the polynomial they cover any of those factored that they have on their card. To win the games the first student must cover five in a row‚ column‚ or diagonal wins factor bingo. Ms. Nomial wrote $ polynomials on the board which are 20x^2-13x +2‚ 12x^3y-75xy^3‚ 6x^2+3y^2-8x-4y‚ and 2x^2+23x-24. In order
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plt.plot(X‚ Y‚’o’) plt.plot(x_index‚ y_index‚label = ’fitted polynomial by QR factorization (n=0)’) plt.xlabel(’Wins’) plt.ylabel(’Payroll’) plt.legend() plt.show() # n = 1 A=np.ones((m‚2)) A[:‚1] = X Q‚ R = la.qr(A) y=Q.transpose().dot(Y) x2=la.solve(R[0:2‚0:2]‚y[0:2]) x_index= np.linspace(650‚ 1000‚ 256‚ endpoint=True) y_index=x2[0]+x2[1]*x_index plt.plot(X‚ Y‚’o’) plt.plot(x_index‚ y_index‚label = ’fitted polynomial by QR factorization (n=1)’) plt.xlabel(’Wins’) plt.ylabel(’Payroll’)
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of the following is irrational: [Marks:1] A. B. C. D. 2] Find the value of p such that (x -1) is the factor of the polynomial x3+10x2+ px . [Marks:1] A. p = 7 B. p = -7 C. p = 11 D. p = -11 3] Find remainder when is divided by [Marks:1] A. -1 B. 1 C. 2 D. Zero 4] What are the two factors of quadratic polynomial ? [Marks:1] A. (x+8) and (x-8) B. (x+16) and (x-4) C. (x-16) and (x-64) D. (x-8) and (x-8) 5] Given lines l1 l2 and l3 in
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This week’s assignment focused on polynomials‚ binomials‚ and monomials. We were provided with the polynomial expression to solve. Our textbook‚ Elementary‚ and Intermediate Algebra (2012)‚ I need to solve for problem 70 on page 304. The textbook explained that P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually‚ then the polynomialP(1+r/2)^2 represents the value of the investment after 1 year. Our assignment is to solve this expression without parentheses
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Sustainability and Calculus Introduction and Preview Calculus is all about change. Calculus provides the mathematical tools to examine important questions about dynamic behavior; e.g. how fast is the world population increasing? If we continuously release a pollutant into a lake at a known rate‚ what’s the total amount of pollutant that will be dumped into the water in the next five years? How long will the nonrenewable supplies of coal and oil last if we maintain the current per capita
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the entire town did. Everyone in the town was so scared that they didn’t know what to do. Vertex then finally decided to go find a definite and accurate solution. He asked their town’s chief‚ Polynomial Function‚ for the best advice he can give to Vertex so that the time will rotate normal again. Polynomial Function advised him‚ “Our town had been cursed by unknown witch ever since. It occurs every ten years. In order to break that curse‚ you must find all the six presents that are scattered around
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information as a vector in a Galois Field permits scienti c operations to scramble information e ectively. [2]. There are many cryptographic algorithms using GF among them‚ the AES algorithm uses the GF(2 8 ). The data byte can be characterized using a polynomial representation of GF(2 8 ) . Arithmetic operation are implemented di erently in eld‚ an addition can be im- plementedas bit-wise XOR operation. In Galois eld‚ the multiplication product of
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