Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

Q: One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following...

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Q: Use deductive reasoning to show that the following procedure always produces a number 5. Procedure:...

A: let the number be x step-1 add 4 to the number ⇒x+4 step-2 multiply the sum by 3 ⇒3x+4

Q: A. Graph the curve B. Find the x-axis intersection points (Limits of integration) C. Find the area o...

A: A. Make a table to list the points on the graph.

Q: Use the graph of f(x) = 2x² – 5v2x + 3 to sketch the graph of f (x) – 3.

A: It is given that the function fx=2x2-52x+3. We have to use the graph of the function fx to sketch th...

Q: 3. a) Find the percentage error in computing u = vx at x = 2.45, when x is 4 b) If Ax = 0.005, Ay = ...

A: We will use basic concept of errors here. 

Q: The handle of a newly manufactured skillet pan, which is of length 6 inches, has a perfectly insulat...

A: In part (a), we form the initial and boundary conditions from the given data in the question. In par...

Q: (b) +V- 2y - 3t (0) -0 v(0) = 1

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Q: (1)" n2 (5x+20)" 4nti

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Q: Find a polynomial p(x) with degree 6 and integer coefficients, such that for all integers x, we have...

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Q: Use Venn Diagrams to find A \ B and B \ A where A = {1,2,3} and B = {2,3,4}

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Q: A consumer has preferences described by utility function u(x1,x2)=In(1+x1)+x2. Suppose p1=1, p2=3, a...

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Q: A right-angled triangle has a base of 10 cm and a hypotenuse of 12 cm. Put the steps for constructin...

A: Given: We have to put the steps in correct order.

Q: QUESTION Given p(x)=x-3 and &, = 0.01. a) Obtain the root of p(x) using False Position and Bisection...

A: Given : p(x)=x2-3

Q: 4. Assume that consumers value a high quality piece of furniture at 5000 and a bad quality one at 30...

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Q: The alternating series converges to given multiples of r. (The value of x to 15 decimal places is r ...

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Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = f,(x) +...

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Q: Let F = Use Stokes' Theorem to evaluate F · dr, where C is the triangle with vertices (6,0,0), (0,6...

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Q: Decimals and percent are also fraction in other forms. FALSE TRUE O O

A: To check if decimals  and percent are  also fraction in other forms.

Q: raiza, florence and jeene are teenagers. the product of their ages, in years, is 4590. none of them ...

A: Let x be the age of Raiza, y be the age of Florence and z be the age of Jeene. It is given that the ...

Q: 1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cos...

A: Solution:-As per guidelines I submit first question only

Q: How much final amount would Abraham receive if he invest P100,000 for 1 year and 3 months at 11% sim...

A: Use the formula to calculate the simple interest as follows:  

Q: Vn+1 b) En=1 n2+n+1

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Q: 1. The four sides of a square plate of side 12 cm, made of homogeneous material, are kept at constan...

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Q: 2. Because of the effect of the COVID- 19 Pandemic, Anna, Jennifer, and Khaeh each decided to take t...

A: According to given information, three persons Anna, Jennifer, and Khach decided to take two jobs but...

Q: Solve for x using secant method using four iterations. Assume xo=1 and x1=1.5 f(x) — 3х* — х + 1 Sho...

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Q: SET B: Solve by using Gauss Scidel iteration method the given equations a. Write down the given equa...

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Q: tet{ TilieIs be a Tafotagies on family seI LAre UiTi enrili fot Fo fotogies an X2

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Q: 3. A bag contains 8 red, 6 blue and 4 green marbles. In how many ways can these drawn be made: a. 6 ...

A: The word combination is required when there are no order fro selection. The total number of marbles ...

Q: 1. Solve example 2 of the rational equation by following the given steps. Example 1 1. +. 25 Example...

A: Find the LCD of the given rational functions.  

Q: Prove that the function f : R → R given by f(x) = 3x° – 2x is continuous at 1 using the a. sequentia...

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Q: Find the Z-transform of the causal sequence k 20 What is the region of convergence?

A: Solution:-

Q: 4. e2t+a(2 cos at – 3 cosh 2at) -

A: It is given that the function ft=e2t+a2cosat-3cosh2at. We have to find the Laplace transform of ft w...

Q: For numbers 6 – 10: Using least squares approximation, let us find the linear and quadratic interpol...

A: The normal equation for y=ax+b can be written as ∑y=a∑x+bn and ∑xy=a∑x2+b∑x, where n is the number o...

Q: +y-y K0)-1

A: This is a problem of IVP.

Q: Find the Z-transform of the causal sequence k 20 What is the region of convergence?

A: Z transform of the function

Q: f (x) = 5e0.5x 1. Given at X 2 find the relative approximate error using value from h = 0.25 and h =...

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Q: H=pz Csup ap te'sin dg tpan 2 At point (1, ,6)

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Q: Problem 30. Let H be a Hilbert space and M be a closed subspace of H. Denoting by P: H – M the ortho...

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Q: Prove that every set with positive Lebesgue measure contain a non-measurable set

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Q: Let U = {1,2,3, 4, 5, - - , 10} A = {2,4,6,8, 10} B = {3,6,9} C = {1,2, 3, 8, 9, 10} perform the ind...

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Q: 1. Consider the relation R1: R - R such that (r1, y1)R1 (X2, y2) if and only if both points are on t...

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Q: Suppose that for every r E R, pqr 0. Show that R is isomorphic to R/I, × R/Iq.

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Q: 1. Identify which of the following functions are even, odd or neither. (a) f(x) = x cos(x) 355 (b) f...

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Q: Find the Z-transform of the causal sequence k20 What is the region of convergence?

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Q: The Sq4are ot Certain nums er exceeds 24 by 5 times The number what is the nunober

A: Say x is the number 

Q: Find the general solution of z= px+qy+p² + pq+q²

A: Given partial differential equation is z=px+qy+p2+pq+q2. We have to find the general solution of the...

Q: da) The eigenvalues of a Sturm-Louville problem are always positive. Ab) The eigenfunctions of a Stu...

A: (a) The eigenvalues of a Sturm-Louville problem are always positive - True.    

Q: ne general form of the first and the : = 0 of the following differential

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Q: Find the general solution of the system of ODES: dyi 2у1 - Зу2 + 1, dt %3D dy2 = -3y1 + 2y2. dt

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Q: of separating variables, solve

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