Show that quadratic every of 2 is of the form Q (Fa) where a is a Savure free rela intepoz.

Q: 3- Evaluate the double integral ff dydx. 5√x a) 32/5 b) 14/3 c) 41/15 d) 39/5

A: The given double integral .The aim is to solve the integral value.

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A: The given differential equation is  .It is known that if , then .

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A: Since you have posted a multi sub part question according to guidelines I will solve first (1,2,3)…

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A: 1.1 Given series is Noted that Now take [from root test]Thus ,implies from comparison test that…

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A: Note: According to the guidelines we are allowed to solve three subparts at a time. So please post…

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A: Note: According to the guidelines we are allowed to solve three subparts at a time. Please post rest…

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A: In this question, we will find the general solution of the differential equation.

Q: Exercise 2.8. Let a, b be real numbers and let a ^= (₁ 1) A and B -(1) What is AB ? Compute A² and…

A: We use method of induction to prove A^m .

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Q: The fixed field of G is a subfield of 7.

A: Statement : The fixed field of G is a subfield of F.We have to prove this statement.

Q: The table below shows the six basic solutions to the following e-system. 2x₁ + 3x₂ +51 = 9 4x₁ + 3x₂…

A: The system of equations is as follows:To Find:(A)00912(B)0303(C)04-30(D)4.500-6(E)3030(F)1.5200In…

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Q: Q2: Evaluate: (a) and (b) using Gamma Function Q2: Evaluate: (a) for √ãe-²³ dx, 0 (6) food a 0…

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Q: 4. 4.1 Use the Integral Test and n = 10 to estimate the value of n Σ (n² + 1)² n=1 4.2 Use the…

A: 4.1) Here the series is given by     This  is series  with positive terms.Suppose that…

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Q: If you don't get this in 5 tries, you can get a hint.

A: The particular solution for that satisfies the intial condition .Remember : A differential equation…

Q: Solve the initial value problem. (+10y²x) dx + (10 X (10yx² - sec ²y) dy = 0, y(1) = ¤

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A: Let R be a finite normal extension of a field F. If a and b are any two elements of R conjugate over…

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Q: For each of the pairs of numbers below, apply the extended Euclidean Algorithm to find gcd(m, n) and…

A: The given pair of numbers,(i) (ii) (iii) The aim is to find the .

Q: 4. Given that 3-2i is a root of the equation z^-6z³+18z²+pz+65-0, find all the ra and the real…

A: If  is a root of  then its conjugate  is also a root of  and hence  is a factor of .

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Q: = Find the general solution for 5y + 15 with parameter c. y(t) = If you don't get this in 5 tries,…

A: We have to find the general solution of the given differential equation.

Q: 8. a1 = 6, a22 =2, x₁ = 2₁ a12 = -1, a23 = 4, x₂ = -1, a13=1, b₁ = 14, X3 = 1 @21 = 1, b₂ = 4;

A: Since you have posted a multiple questions according to guidelines I will solve first(Q. 8) question…

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