Solve the following differential equation: dy x2 + y2 %3D dx 2хy

Q: Let a,ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a = 0 and 2(1-B)+ 3(1-B)- 6B + 12 = 0 and a + B, also graph…

A: Solution :  take α-1=θ, and 1-β=θ  2θ3+3θ2+6θ+1 only real root of above equation, is θ=-1.15365…

Q: If L[f (t)] = F(s), evaluate F(1) given by the expression, f(t) = e-(t-2) – [e-2(t-1) sin 2t].…

A: Solution

Q: Integrate f(x,y, z) = 2x – 3y² – 2z+3 over the line segment from the origin to (1, 1, 1) and over…

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Q: 61. Let Y be a subspace of X. A separation of Y is a pair of disjoint nonempty sets A and B whose…

A: Let Y be subspace of X. Here , A separation of Y is pair of disjoint nonempty sets A and B whose…

Q: Theorem 14: Suppose that only singularities of f(p) are poles which all lie to the left of the m…

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Q: U(at) = U ( 5,t)-0 Hiws Solve Utt = 16 Uxx %3D K= 4 U t CX10) = o 2 uCX, o) = X (5-X ニ

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Q: Determine the Laurengies expansions of f(2) = in the regions: z(1+2²)(4 – 2²) c) |z| > 2. b) 1<|z| <…

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Q: Use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and…

A: Given: Linear combination 5055s+1905t To find: The gcd and the value of variables s and t

Q: 1 20 В -2 1 x = с 3 –10 X, 1 3 a) Calculate the pseudoinverse B* . X1 for Bx = c, call it x. X2 b)…

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Q: re: Write an equation which satisfies all of the following condition Is a limacon with an inner…

A: We can solve this by using given information

Q: Q26: Define the integral domain ring. Is every ring an integral domain?

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Q: If A and B are finite sets, then A ∪ B is also a finite set

A: Let A and B are finite sets. We need to show that , A ∪ B is also finite set. case 1) If A = B = ϕ A…

Q: Let C be the curve of intersection of the paraboloid x? + y² = z and the cylinder + (y – 1)² = 1. 4…

A: We will find equation of common curve and parametrize it to find vector equation of C and the use…

Q: السعلهلتمـِxله ملتلعللمو ) محلموكلوفحلرللت )رههد x^(5- )x = )ه ,4¢x

A: The given P.D.E is                              utt=16uxxu0,t=u5,t=0, utx,0=0   ux,0=x25-x To find:…

Q: 5. Let A = {a,b} and B = {1,2,3}. (a) Write out all functions f: A → B using two-line notation. How…

A: (a) Consider the given sets, A=a,b and B=1,2,3 If a set A has n elements and a set B has m the…

Q: Let X = {x E Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y +1 < 15}. Define a relation R from X to…

A: We have to find the elements of X and we have to define a relation R from X to Y.

Q: By fixed-Point Iteration, evaluate f(x) =x² -x- e*starting at x1 = 0.

A: The given function is fx=x2-x-e-x To find: the root of the equation.

Q: Calculate the inverse of 15 mod 26 (i.e., solve 15 * x ≡ 1  (mod 26))

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Q: 09. lim, „[-r(csc TX) (Inx)] rx)(Inx)]

A: To find the value of the given limit :-

Q: 9. z4 – 3iz? – 2 = 0

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: b 2 1+(- dx dy² dx, X y= e у3е ,0<x<1 а Use COMPOSITE Simpson 1/3 rule. Use nine nodes

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Q: A small software corporation borrowed $380,000 to expand its software line. The corporation borrowed…

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Q: Use Gauss-Jordan elimination to solve the system of equations. + 2x2 + 3x4 -1 X1 -2x1 + X2 + 3x3 3…

A: The given system of linear equations                                                     x1+2x2…

Q: timate the axerage amaunt Spant on entetinmest uante to Cnduct 1A markeking mseand piem wante to…

A: Given,Error margin, E=2000Standard deviation,σ=4000Confidence value =95 % To find: Minimum required…

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

A: As we know that :nth term of AP = a+(n-1)dHere we have        a11=42 = a+(11-1)d..............(1)…

Q: What happened to the graph? f(x) = -0.5|x| Fix) f(x)

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Q: 1+ cos r 11. lim (r- 7)*

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Q: 18, where 1, 2, 5. Consider the solutions are there uation 2i Eg + Tg + Tar uovenba (a) if z1, r2,…

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Q: 1 Let ū = and ū = a. Prove that the set W consisting of all vectors in Rª that are orthogonal to…

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Q: Exercise 6.3.12. Suppose G is a group, a, b e G such that gcd(la\, [b|) = 1. Prove (a) n (b) = {e}.

A: Suppose (G,.) Is a group . Let , order of a and b is m and n respectively. Then am =e , bn =e .…

Q: The Education Department will apportion a budget of P1,300,000 to six state universities based on…

A: Standard divisor = Total student populationTotal budget = 97,4501,300,000 = 0.075 (rounds to three…

Q: Prove logically that

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Q: 200 Determine L-1 82+50s+10625 O 2e-25t cos(100t) 2e-25t sin(100t) O 2te-25t sin(100t) O 2e-26t…

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Q: 2.) lim cot x- sin 2x cotx-1 3.) lim x0 cotx+1

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Q: A formula of order 4 for approximating the first derivative of a function f gives: f'(0) 4.50557 for…

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Q: - Prove that, if I is an ideai of the ring Z of integer numbers then I=, for some nɛZ'U{0}

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Q: 28: What is the difference between homomorphism and isomorphism?

A: Let G,∘ and G',* be two groups. A mapping ∅:G→G' is said to be a homomorphism if ∅a∘b=∅a*∅a for all…

Q: 1. 2x – 5x+ 2 = 0 is an algebraic equation. a. Find the value of x+: b. Find the value of x* + c.…

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Q: b. True or False: The set of even integers is a commutative ring. Q17: a. Let R be a ring and I,, 1,…

A: Solution

Q: 2tan x- x lim, -1 2х -sin " x,

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Q: Cornsideing the Laurent series foro S(x) = Which Sin c serterd is aut cand converges what is which…

A: Solution: Since sin(z) has a simple zero at π, the function sinz(z−π)  extends to be analytic and…

Q: A space X is locally connected if and only if for every open set U of X, each comj

A: Suppose that X is locally connected. Let U be an open set in X and let C be a component of U. If x…

Q: Since the discovery of the tiger gar population in Lake Richmond, the population of bluegill fish…

A: Given changes in the population of bluegill fish, X values -  2016  2017  2018  2019  2020  2021 Y…

Q: If L[S(t); p]= 5(p), the Theorem f(u) du; p P

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Q: Let n >1 and let D be an alternating (n- 1)-lincar functic matrices over K. For each j, 1 sisn, the…

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Q: Express the following statements in predicate logic: Some human is not mortal. For every x and…

A: Definition (Predicate): A predicate is a property that a variable or a finite collection of…

Q: Player fosses a fáy eóson

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Q: 2. Expand f(z) = in a Laurent series in the region 1< |z – i| < v5. 22 + 2z

A: We shall one questian only as per the company's guideline. Please post again in case you want any…

Q: Find the plane determined by the intersecting lines. z=1- 3t z = 2-2s L1 x= - 1+2t y = 2+2t L2…

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