Let n EZ. Show that f(x)= x³ – nx +2 is irreducible over Q for n+-1,3,5. 72

Q: Find the volume of a cone with a base diameter of 9 yd and a height of 12 yd. Write the exact volume…

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A: Stephanie starts with large number of soccer balls . She gives 2/5 of them to Alphonso and 6/11 of…

Q: 1. Given the following matrices: [1 1 0 1 1 6 1 [2 1 11 8 2 -2 2 3 -1 0] D = |0 1 0 13 2 1 1 3 |1 2…

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Q: B- {-x+x², -x², l-x5 2 2 C=? 2+x -x?, 2-x?, 3+x=2x2} 1 2+ X a) Find the a). change of basis matrix…

A: Given that  B={-x+x2,-x2,1-x} and  C={2+x-x2,2-x2,3+x-2x2} We find the change of basis matrix…

Q: {an} = {} 4 2

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Q: Use the Laplace transform to solve x'-2y'=1;x'+y-x=0;x(0)=y(0)=0

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Q: f(x) = x³ fonksiyonunu ele alınız. f(x) için xo = -1, x1 = 0 and r2 =1 (düğüm) noktalarını…

A: Legranges interpolation

Q: 3. Solve the initial value problem by the method of Laplace transforms: y/" + 4y = 2, y(0) = 4,…

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Q: Give at least 3 examples of each type of matrices. 1. Idempotent Matrix

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Q: Question 6 Find the solution. dy 2y dx Ay = x(x+c) By = x³(x+c)3 y = x²(x+c)2 Dy = x2(x-c)-2

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Q: By using the sccant Methad findthe:voots ofeauation

A: We have f(x) = x-22-ln(x) x0 = 1 and x1 = 2 f(1) = 1-22-ln(1) = 1 f(2) = 2-22-ln(2) = -0.69315

Q: Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the…

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Q: atic Approximations The Taylor polynomial o by a twice-differentiable function f(x) at x = tic…

A: In this question, the concept of Taylor Polynomial is applied. Taylor Polynomial An approximation of…

Q: x³ – x +1

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Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

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Q: 10 2) z = (-j)()

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Q: Consider the linear DE system æ' = Aæ with -14 -90 and A = 2 14 If the initial conditions are given…

A: To find the solution for the below linear differential equation system. x'=−14−90214x,  x0=02

Q: 26. 27. Em티|mm끼|EEEE ? E 23. ADA|0O0|000|00 ?

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: dy y +x dx ||

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 10 s (22(2² +5)") dz =? 12z(2 + 5)° +c (+5) 4 (22+5) +c (2+5)*

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Q: he perimeter of the pentagon below is 69 units. Find the value of z.

A: Perimeter means sum of all sides. Here using perimeter condition we have to find value of z.

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Q: Find all zeros of the polynomial function. Use the Rational Zero​ Theorem, Descartes's Rule of​…

A: Use the Descarte's Rule to find the sign change in the polynomial.

Q: Show that the mapping :S3 S3 given by p(x) = xis not a homomorphism.

A: Solution is below.

Q: Consider a resource allocation (product mix) problem with the follow- ing optimal tableau: X1 X2 X3…

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Q: Reverse the order of integration and evaluate the integral: (a) / IT 2y° sin zy dy dz 2 dy dx (c) 0.…

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Q: 1- - 5 a vector of V. det -3-1 be the vector 2x2 matrices space entries. in with real number Let %3D…

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Q: Counting Cameron has 15 books and he wants to read 5 over the summer. He has 8 fiction books and 7…

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Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 7 m m2 5 m 11 m…

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Q: A trucker drove 144 miles to make a delivery and returned home on the same route. Because of foggy…

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Q: olve the d

A: Given,         dxdt=37.5-3.5x

Q: Which of the following functions on R is sublinear? a). s1(x) = # x if x ≥ 0 0 if x 0

A: Definition: Let X be a vector space. A function p: X→ℝ is said to be a sublinear function, if it…

Q: What will be the numerical coefficient of cos(V3t)etin the Inverse Laplace Transform of 3 s(s3-8) O…

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A: Given :  The given matrix is ;   A = 110010001 To find :  The eigen values and eigen vectors of A.

Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: Let f be a function defined fort2 0. Then the integral LEF(t)} = e stf(t) dt is said to be the…

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Q: In how many ways can an employer select two senior staff from seven candidates, and three junior…

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Q: 2. Let R be the region in the ry-plane bounded by the curves ry 1, ry =4, and the lines y r, y = 9x.…

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Q: On our trip, diesel fuel cost averaged €1.80/l.  The currency conversion rate in April 2012 was…

A: Given that, the average fuel cost for one trip is  €1.80.