Let F be a field and f(x) e F[x] be a polynomial of degree > 1. If f(a) = 0 for some a e F, then f (x) is reducible over F. %3D

Q: Let R be a commutative ring. Then R is an integral domain if and only if ab= ac implies that b = c,…

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Q: Show that

A: Our Aim is to Prove that:-111abca2b2c2=a-bb-cc-a   -(i)

Q: rank(AB) = rank(A) – dim(N(B") R(AT)) -

A: Let A∈Mm×n,B∈Mm×n The mapping A:Fn→Fm,B:Fm→Fn RankA+Nullity A=nRank B+Nullity B=qRank AB+Nullity…

Q: Differentiate.

A: We use the quotient rule

Q: A corporation wants to lease a fleet of 12 airplanes with a combined carrying capacity of 220…

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Q: Show that

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Q: Show that

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Q: - Ca-8)" a b a of

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Q: sin e cos (cos a cosec 0) de (1-cos a). 2 ||

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Q: Show that

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Q: Show that the substitution = e, y = et converts the equation ² (0²²)+1² (32²) +²(3)+1 (3) = 0 into…

A: The given equation is                        x2∂2u∂x2+y2∂2u∂y2+x∂u∂x+y∂u∂y=0

Q: 1 Ita Į = ab

A: The objective is to show that, 11111+a1111+b=ab

Q: Show that

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Q: show ZBDE E ZCTO using Corresponding Parts of Congruent Triangles are Congruent, which of the…

A: To prove <BDE ≅<CTO Corresponding parts of congruent triangles are congruent only when the…

Q: The mean of the sampling distribution of means, µã =µ i.e., E(X)=u

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Q: Differentiate.

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Q: Differentiate.

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Q: Differentiate. y= 16/x (16/x) D dx

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Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

Q: If x is a random variable and a and b are constants then E ( ax + b ) = aE ( x ) + b

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Q: Find mPS. (5x + 1) (8x – 41) R S 142° shark costumes 146 clown shoes 138° cowboy hats 132 144 saran…

A: Topic: geometry

Q: d csc z = -csc z cot z dz

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