Prove that x4 + 15x3 + 7 is irreducible over Q

Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values…

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Q: 2) y' Consider the differential equation 2t 1- y² a) Without solving the ODE, show that there must…

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Q: llowing question requires 4) The numerical method cannot be used to convince someone about the…

A: Given function is fx=x4-x2 and its vertical asymptote is x=2. To Provide: A table that contains…

Q: Using the given data set, determine the interpolated value for x = 20 Use Newton's Method X y 59 12…

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Q: A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children…

A: In this problem we want find out babysitter earning if he work x hours.

Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3252…

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Q: r = 5 - 3 cos 0 (limaçon)

A: To Sketch : The graph of r=5-3cosθ, also verify its symetry.

Q: Draw a transformation diagram for v = (3/5)c, with the numbers 1, 2, and 3 (in meters) on the…

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Q: Define the set G= ={[ 0]|PER} cos sin 0 - sin cos (a) It is a fact that G is a group. You do not…

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Q: Determine if the given function is one-to-one, onto, both one-to-one and onto, or neither one-to-one…

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Q: Consider the differential equation (DE) 5 j=4 xj+¹y(²j) + πx² (y(7))¹² + xy" + y' = cos(2x). a) Its…

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Q: Determine the solution of the system of equations 2x1 1 -5x1 + x2 3x2 I? + + 13 x3 = 213 345 -5

A: Given system of linear equations are: 2x1-x2+x3=3x1-3x2+x3=4-5x1+x2-2x3=-5 We have to find the…

Q: Kelly has 1,400 ft. of irrigation piping he wants to use to irrigate his back lawn. He wants to lay…

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Q: The integrating factor for the DE dy dx is: - sin x ecosxy = tan x + 2* O A. A. e ecosx B. e sinx…

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Q: Define the sets A, B, C, and D as shown. Find A ∪ (B ∩ D

A: We have to define A, B, C and D first and then find the A∪B∩D. Assume  A=1,2,3,4,5,6,7 B=1,2,6,7,8,9…

Q: 2x² + 3x = 3x = 14(mod19) X = X (mod19)

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Q: Find the discontinuities of the function f(x) = discontinuity and redefine if removable. x-1 ex x >…

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Q: 3. Suppose that P is invertible and that A = PBP-¹. Solve for B in terms of A and P.

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Q: 1. Determine the convergence/divergence properties (absolute? conditional? uniform? range/radius of…

A: As all three questions are different, we shall answer first questions only per the company…

Q: The integrating factor for the DE dy dx is: - sin x ecosxy = tan x + 2x OA.eecost B. e sinx O c.…

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Q: Find the domain and sketch the graph of the function x² - 4 x-2 f(x) =

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Q: 4 20 785 123 Get det [AB] and det [(1²¹) TB] T A 4 12 13 B = 358 217 =

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Q: (d) A is a subset of P(Z). (e) The numbers a, b and c are not the lengths of the sides of any…

A: The details are given in step 2.

Q: 6. Let f(x) = 4. Write an expression for f'(1) and use the table method to estimate its value,…

A: Q 6) The given function is f(x)=4x  To Find: f'(1) and use the table method to estimate its value…

Q: Solve the following linear programming problem. Complete parts (a) through Minimize (d). subject to…

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Q: Convert the following binary numbers to decimal (2 marks each): a. 10 b. 101 c. 1011 d. 10101 e.…

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Q: Solve the following Differential Equation

A: Given the differential equation              (3x+4y-7)dx+(9x+12y+1)dy=0.

Q: Let x = x₂ A 1 1 1-5 -4 001 5 0 000 0 1 000 0 0 Describe all solutions of A +4 = 0. = -5 -1 5 0 +26

A: We re given the matrix A=111-5-4-500150-1000015000000we have to find the solution for  Ax→=0

Q: A simply supported beam carries a point load P(lb) at its midpoint. Determine the value of the…

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Q: 2 6² 1) △ 블+ov DA + 8√√√1+(8²/4) 름 + = girl cz 3) MS=+ㅍ 2

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Q: Graph and find the vertical asymptote of the function: x² +1 3x - 2x² y =

A: Vertical Asymptote: A vertical asymptote of a function fx is defined as a vertical line y=k when y→∞…

Q: 1. Consider the set V = R2. For (x₁, y₁), (x2, y2) = R² and c ER, define the following operations:…

A: Solution: Let us consider two scalars c and d.  Then, (c + d)(x1, y1) = ((c + d + 1)x1, (c + d +…

Q: -22²-1y²+2x+9y Suppose that f(x, y) = then find the discriminant of f. e

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Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

Q: et V and W be vector spaces over a field F, and assume that T: V→ W is linear and invertible. Then…

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Q: Enter your answers in the text boxes. Round to four decimal places where applicable.…

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Q: 8) Given two planes P₁:2x+4y+3z=4 and P₂ :x-y-2z = -3 (a) Let L be the line of intersection of the…

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Q: -. Determine the values of a for which the system x + 2y3z = 4 3x = y + 5z = 2 4x + y + (a²-14)z = a…

A: The given system is ,            x+2y -3 z= 43x-y+5z   = 24x+y+a2-14z=a+2 rewrite the given system…

Q: Show that the given function y = 5e²x + x is a solution of the IVP 2x subjected to the condition…

A: The given initial value problem dydx-2y=1-2x subject to the condition y0=5 We have to show that…

Q: Max Z = 2 x₁ + 5 X2 subject to: 2 X₁ + 2 X₁ X2 ≤ 25 ≤ 20 - X1 + 10 x₂ > 20 5 X₁ + 3 x₂ ≥ 15 X2 ≤ 15…

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Q: There is an island where all people either always lie, or always tell the truth. You meet three…

A: Given data :There is an island where all people either always lie, or always tell the truth.You meet…

Q: Find the determinant of the coefficient matrix A for this homogeneous system of equations. 3x 4x + -…

A: We have given system of equations as- 3x-y=04x+y+5z=0-6x+2y-z=0 the corresponding coefficient matrix…

Q: Find (a + b)4 using the Binomial Theorem.  a = a4 + 4a2b + 6a2b2 + 4a1b2 + b4  b = a4 + 4a3b +…

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Q: Given the following vector X, find a non-zero square matrix A such that AX=0: You can resize a…

A: Given information X = 10-3-9 Find the matrix A such that AX =0 . Here, A is a non zero square…

Q: 7. Evaluate ſxy dA as the limit of a sum, where R is the rectangle with vertices (0, 0), and (xi,…

A: We have to evaluate ∫∫RxydA as the limit sum , where R is rectangle with vertices (0,0),(0,1), (1,0)…

Q: Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general field…

A: Given that Piel has to choose four different shooting spot where he is comfortable among the five…

Q: Consider the vector field F(x, y, z) = (-y, —x, −2z). Show (—y, that F is a gradient vector field F…

A: Please find the answer innext step. We recall the definition of gradient of a function and then…

Q: A garden shop sells two kinds of mixtures for planting. A package of gardening mixture requires 2…

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Q: 1. Let 3 be the permutation α, β € Σ3 such that Here a² = aa. group of {1,2,3}. Find two…

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Q: Using LU Decomposition determine the value of x, y, and z of systems of linear equations: 23x − 25y…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.