If α₁, ₂, ......., a are the roots of the equation x²¹²-a₁x²² - ¹ + a₂x²¹ - ² + ...... + (-1)" a, = 0, then the value of (1 + α₁) (1 + a₂).... (1+a)= 0 is given by (a) 1+ an (b) ¹ − a₁ + a₂ − a₂ + ... ... + (−1)″ a₁₁ (c) 1 + a₁ + a₂ +.....+ an' (d) 1-a₁-a-an

Q: Which shows the correct substitution of the values a, b, and c from the equation 0 = - -3x2-2x + 6…

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Q: If a, ß and y are the roots of the equation, x³ - x - 1 = 1 + a 1+ B + 1 - α - 1- B + 0, then 1 + y…

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Q: Exercise(6): (1) Solve the following Cauchy-Euler differential equations: (a) 4r y" +4.ry-y = 0.

A: Solution:

Q: Solve an = an-1 +3n² – 3n+1 with A, = 0

A: We will find the solution of given recurrence equation by rearranging terms on the non homogeneous…

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: 1 Find I = dx. x2-2x+8 Choose the factorization of the denominator from the following: Question 1)…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: a) b) d'y(t) _2d'y(1) dªy(1) _4dy(t) + 5y(t) = 6x(1) dt' di' dt¹ dt d'y(1) di' dit Property +2dy(t)…

A: Linear: A differential equation is linear if the unknown function and its derivatives are to the…

Q: -6 14 (-7 15 , 18. Solve for X, if X³ = (). 0 2 Ans. X = -1 3

A: We are given that for a matrix X, such that X3=-614-715. We need to find the value of X. Let X =…

Q: Let a, b be the roots of the equation (x–a)(x–b)+c=0, c not equal to 0. The roots of the equation…

A: question has  a,b  at all places, it is incorrect if we put a,b in equation we get c=0so there is a…

Q: Solve for x. 5 12х — 7 - х — 7 x + 4 x2 – 3x — 28 - - - ||

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Q: (1) Solve the following Cauchy-Euler differential equations: (a) 4r y"+4ry - y = 0.

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Q: 2 of,x²-x-1=0 a" - fn a-B a, ß are roots (a>ß) and, t = n (n≤N), if, b₁=1, b = = t n n-1 (n ≥2) find…

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Q: 2. Use successive substitution to determine the roots of 2x² + 5xy = 25 x + xy = 30 Initiate the…

A: Solution :-

Q: solve for 1, x = 2x² – 5x + 2, z = - (x+t) - (x) t

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Q: If ø (a) and øb) are of opposite signs and the real root of the equation ø (x) = 0 is found by false…

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Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Factor x³+3x²y+3xy<+y°.

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Q: Solve exactly for ( 0, 2π)

A: Simplifying the given equation:Using the zero product rule: