Show that f(x)=x\power{6}-2ax\power{3}+a  is inseparable  over Z\index{3} (a), with a in any extension field of  Z\index{3}.

Q: Is {[o], [b], [c], [bc]} on abstract simplicial complexe? to ratrer utraler ett ***jte + sta A ³² ts…

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Q: Put the function in the form y = ab' and state the values a and b. Enter the exact answers. a = b =…

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Q: Consider the graph 6 = { [a], [b], [C], [d], [a,b], [b.c], [cid], [a,d], [o.c]} a) what is the…

A: Pre-requisite Knowledge:. The clique complex of a graph is a simplicial complex whose faces…

Q: Plot the two curves defined by -x y² + 4x = 5 x³ +y³ = 1 and find the number of intersections of…

A: here red curve is    ( -xy^2+4x=5  )      blue curve      (x^3+y^3=0)

Q: For all sets A, B, and C, if B ∪ C ⊆ A then (A − B) ∩ (A − C) = ∅. Let the universal set U be {1,…

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Q: #4. A particular high school has 4 clubs. The chess club with 20 members, the card game club with 15…

A: Given           Chess club=20 members          Game club=15 members           Darts club=13 members…

Q: QUESTION 4 A = [ Z₁ Z₂ Z3 -Z₁ ] (4.1) Find a necessary and sufficient condition for A to be normal.…

A: (a) The given matrix is: A=z1z2z3-z1∈M2×2C Now, firstly find the transpose conjugate of the given…

Q: 1) Let G be the graph whose vertices are the 2-element subsets of {1, 2, 3, 4, 5}, with vertices {a,…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: H.W.3: Find a 4th order equation to fit the following set of data using: a) Direct fit polynomial.…

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: Let x be the width of the window and y be the height of the window, where x and y are in feet. It is…

Q: Solve using a power series expansion. y"-3y'+2y=0; y(0)= 0, y'(0)=1. Write the first 4 nonzero terms…

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Q: Find the mass of a wire that lies along the curve r(t) = 3 (t² − 4)j + 2tk, 0≤t≤ 1, if the density…

A: Given that  rt = t2 - 4 j + 2t k ,  0 ≤ t ≤ 1      The density is given by  δ = 32 t…

Q: BEC zw. w-1 (iii) Arg w and arg w. -√3i. Find the following: Let z = 7+3i and w = -1 –

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: Find an invertible matrix P and a matrix C of the form O A. The matrices P and C are O B. Select the…

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Q: 132 0-7-5 comes from the matrix A= 01 1 The matrix B D Oa|A|-2|B| Ob|A|--|B| Oc|A|=-6|B| Od|A|-|B|…

A: Our Objective is given below:

Q: Let (an) and (bn) be Cauchy sequences. Prove from first principles that their sum (an + bn) is a…

A: Let an  and bn  be  cauchy  sequence.We  have  to show  that  an+bn   is  a  cauchy…

Q: se Geogegra or your favorite software to graph the surface x³ - 3x + y² + 2y2. Then use s to find…

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Q: Use partial fractions to find the power series of the given function and find the interval of…

A: we have given a function f(x)=10(x2+1)(x-3) We have to use the partial fraction and then write the…

Q: A bank features a savings account that has an annual percentage rate of r = 4.3% with interest…

A: Given, A bank features a savings account that has an annual percentage rate of r = 4.3% with…

Q: 3-50 Sketch the curve with the given polar equation by irst sketching the graph of r as a function…

A: We sketch the curve in polar and cartesian coordinates system .

Q: If a=0i+-2j+ 5 k and b = −4 i+−6 j + −9 k find the magnitude of a, the magnitude of b and the scalar…

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Q: "linearity or non-linearity" a) y" + √p(t)y + et = 0 order=[Select] linear or non-linear = [Select]…

A: Given differential equations are , a).     y''+p(t)y+et =0 b).     y'''+t4y'+t3cosy = 9 (.)  Order…

Q: The electrostatic potential p(x, y) in a region (-∞ < x < ∞, y ≥ 0) devoid of charges obeys the…

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Q: dy 3 dx 2 dy dx ·2y = e*, y(0) = 5 3y=e-1.5x₂ y(0) = 5

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Q: 1. Suppose we have a 2-player zero-sum game where the strategy set of the row player (resp. the…

A: Here,  A 2- player zero-sum game with row and column player strategy as R=r1,...., rk and…

Q: s(x) x) from x=-2 to x = 2 using the areas of 3 rectangles of equal width, with heights of the…

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Q: Evaluate the limit x² - y² - z² lim(x,y,z)→(0,0,0) x² + y²-z²

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Q: 11- Find the moment of inertia about x-axis bounded by the curve y = 6- x² and the line y = x + 1

A: The given information in the question is the curve y=6-x2 and the line y = x + 1. The objective is…

Q: fin dy / dx L.n (x+1) Ln 3√x

A: Derivative  Advance maths

Q: 5. Riley is planning to build a shed in their backyard to contain their bicycles and yard tools.…

A: To design a shed that satisfies the town regulations, we need to keep in mind the following…

Q: 1. Classify each polygon then find the perimeter and area. V29. 4 √29 3 8 2.5 2.5 10 22

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Exercise 10.1. Let a, 3, 7 € Sym(10) be given as follows: α = B = Y = 0 3 1 2 3 4 5 6 7 8 0641 2598…

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Q: r = comma-separated list) Find all values of r for which y = ert is a solution to y" — 8y = 0. r =…

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Q: Construct with Hilbert's tools a line perpendicular to a given line 1 at a given point A e 1 (par =…

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Q: 2. Describe the form, direction, and strength of the relationship between these variables. Does…

A: Given a set of data relating the average life span of animal and their gestation or incubation…

Q: Shop A provides 2 hours of cake training, 4 hours of cupcake training and 2 hours of bread training.…

A: To solve this problem, we can use linear programming. First, let's construct a table showing the…

Q: 14- Find the centroid of the region bounded by x-axis and the curve y = 1 - 2x

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Q: - Evaluate c√x So ² [+ [In y+cos y] y² dydx

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Q: Use p(x) = In(x² + x + 7) to answer the questions below. (a) Find p'(x) = (b) Find the equation of…

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Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to…

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Q: Question 5: The formula for calculating the eccentricity (e) of an elipse is as follows: Where: C =…

A: Since you have posted multiple questions, so we will solve only the first question for you. Kindly…

Q: Question 2. Let U CR³ be open, f: U R a smooth function, and let S = {x €U : f(x)=0}. Suppose that…

A: To show that N = nabla f / || nabla f || is a unit normal on S, we need to verify two things:   N is…

Q: Let T: R³ R³ be the linear transformation defined by 1. Find the kernel of T where: a = B={ 2. Find…

A: According to bartleby guidelines we do first three parts and rest part can be reposted separately.

Q: oblem 2 Give an explicit example of each of the following: a) A geometric 0-simplex in IR3, b.j A…

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Q: find dy/dx Lux. =√x.

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Q: f (x, y) = (2h - y)(y - x^2) Could you please finish the integration in part b. thanks

A: In this step, we set up the integral and solve it.

Q: For the graph below, sketch two functions F such that F = f. In one case let F(0) = 0 and in the…

A: Here, we have to given a graph of function f(x). We need to find two choices of function F'(x)=f(x)…

Q: . From the set of letters (O, R, G, A, N, I, C), how many subsets of 4 letters are there? a) 5040 b)…

A: Consider the set of letters O, R, G, A, N, I, C. To determine how many subsets of 4 letters are…

Q: Evaluate the triple integral. SIS. x dV, where E is bounded by the paraboloid x = 8y² + 8z² and the…

A: The integral is ∭Ex dV. where E is bounded by 8y2+8z2=x, and x=8. To Evaluate: the above integral.