Make this nonlinear problem to a BINARY INTEGER PROBLEM.   Max z = x2y + 3x3yw     subject to   9xy+13xw3 ≤ 33   x,y,w are elements of {0,1}

Q: 3. Given the polynomials p1 = t3 – 2t2 + 1, p2 = t2 – 4, p3 = t3 + 2t, p4 = 5t. Does this set of…

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Q: If y = C1 + C2x +e2*(C3cosx + C4sinx), then the roots are

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Q: Q1-Using the nodes (x, =2, x-=2.5 and x; =4), to find the second interpolation polynomial for flx) =

A: Given nodes are x0=2, x1=2.5, x2=4 and function is f(x)=1x Now table is x 2 2.5 4 f(x) 0.5 0.4…

Q: Determine integers x and y such that (а) gcd(51, 288) — 51х + 288у (b) gcd(357, 629) = 357x + 629y

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Q: Find an integer coefficient cubic that has x = 1 and x = 2+ /3 as zeros.

A: Given: The two zeros of a cubic polynomial are x=1 and x=2+3.

Q: Which of the positive integers coming from the set{1, 2, 3, 4} are upper bounds for the zeros of the…

A: The given polynomial is Px=x4-4x2-3

Q: . Factor x12 -1 as a product of irreducible polynomials over Z.

A: Given: x12-1. We have to factor x12-1 as a product of irreducible polynomials over Z.

Q: Show that the multiplicity of (x-1) is 1.

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Q: QUESTION 1 Rewrite 32⁹x/7 and 1 8x/11 128 in the form 4x 10/01 or ALT+FN+F10 (Mac)

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Q: Formulate that the Lagrange interpolation polynomial that passes through points (0, 3), (1,4) and…

A: To show that the Lagrange interpolation polynomial that passes through points (0,-3),(1,4),(2,15) is…

Q: If mZJKL=(8x-6) and mJML = (25x – 13), find mJML. K 360-25x 313458 M 3k: C-b 날 81-6-25X-13 -3- 200

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Q: Find a counterexample to show that each of the statements is false.

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Q: actor each polynomial. 1. x2 2-14x + 49 2. x2 +2x + 1 3. x2 +7x + 14 (x-1) x2+ 18x + 81 5. y2-20y+…

A: Consider the polynomial x2 + 7x + 14 The above polynomial could not factor further since it has no…

Q: Simplity. Assume all exponents are positive integers. 35n 45x² 2. 35n² 25x 1. 4. p²-3p-54 p-9 5.…

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Q: 4. Factor a? + 12ab + 32b2. OA. (a+4b)(a + 8b) О в. (а - 4b)(а - 8b) С. (а - 4b)(а + 85) D. (a +…

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Q: Identify the corresponding terms in each expression 1. 7a 2. 3x² +1 3. 10a+b 4. 25m²+10m 5. 40xy+11…

A: Note- According to Bartleby guidelines we are supposed to do only one question with subparts . If…

Q: 4. which polynomial is accurate x = [2; 2.75; 4]; y = [0.5; 1/2.75; 0.25]] 0.0455 x² 0.1039x² -…

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Q: 1. Which of the following is a polynomial? A. 5x 4x 1+7 B. xV5 + x? D. 3x5 – 5

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Q: Give all of the zeros of P(x)=x^2+4 as a comma separated list.

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Q: Indicate the least integer n for which (3x6 + 2x2)(x3 + 3x) is O(xn).

A: Solution:-

Q: ndicate the least integer n for which (3x5 + x2)4 is O(xn).

A: Solved using the binomial theorem

Q: 2. Write a computer code that interpolates the function f(x) = 1+2 at the points -5, -4, -3, -2, -1,…

A: Here is the code:import numpy as np import matplotlib.pyplot as plt # Define the function def f(x):…

Q: 1. Determine whether the set S = {2x² – 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or…

A: Here first we check the set s is linearly dependent or not.

Q: 24. Which quadratic equation has -2 and 1 as its roots? O O O O CLEAR ALL x²+x+2=0 x²-x-2=0 x²+x-2=0…

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Q: Find the multiplicative inverse of ( v2, -V5 ).

A: Solution

Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: 4. Find ALL additional real zeros of the given polynomial equation given that x = 6 is a zero of the…

A: Factors  Reals roots are x=1,-1,6,2.5,-2.5

Q: z+1

A: Given: z+1z2+12 Let, fz=z+1z2+12 Or, fz=z+12z2+12 The zeroes of f(z) are given by:…

Q: It is possible to write xk as a linear combination of Chebyshev's polynomials, for example %3D…

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Q: If x² +2y+3z? = x² + 2y² + 3z² = x² + 2y3 +3z3 =2, and x₂x3 +2y₂y3 +3z₂z3 = x3X₁ + 2y3V₁ +3Z3Z1 =…

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Q: 6. Which polynomials have 4 roots? Select all that apply. 3x* – 81 = 0 4x + 4x + 4 = 0 2x4 + 3x? +…

A: The root of the polynomial is measured by its degree. Degree of a polynomial is the highest power of…

Q: Q// Fit a second-order polynomial to the following data: Y 9 8 3 7 9 11 9 6 1 7 1 3 10 9. 1 a. y =…

A: Given x y 9 8 0 3 7 9 11 9 6 1 0 0 0 7 1 3 8 10 9 1

Q: Which of the expressions below is not written as the difference of two squares? O A (4x² – 36)…

A: Four expression are : (1) 4x2-3636-4y2 (2) 81-x281-x2 (3) a6b4c2+1a6b4c2-1 (4) 4x6-16y84x6+16y8 We…

Q: Solve the system of linear equations by graphing -10 -5 x - 3y = -3 x + y = 5 10 of 5 5 -10 5 10 -10…

A: We have to solve the given system of linear equations by graphing.

Q: 13. Which polynomial has a degree of 2?

A: To find the polynomial of degree 2.

Q: Max Z = 120X1 + 125X2 + 145X3 12X1 + 24X2 + 5X3 = 45 8X1 + 5X2 + 2X2 >= 36 5X1 + 6X2 + 12X3 = 0…

A: Max Note: The second constrain given is , writing it as

Q: find x X-4X-5x + 6 11 3 7x²+9x-4

A: Note:- This problem can not be solved in 5 minute analytically but it can be solved graphically. So,…