Consider a vectanial field P:D CIR° =zR3 If we Know that DxF = Ô Which of the following state menst are true d -F is a conseative vectorial ficld 2- F = Vf : RC IR3>IR with Fiot continues dontves. A Both que true B 1 1s false andzis true c Botn gre fabe |D Zis false qnd 1 is trme.

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

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A:

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

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A: Given that : To find 2 C + 4 D:

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Q: P show that (α) |=1 = 12/

A: A detailed solution is given below.

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A: Topic:- function

Q: If A = 0 . 0 -3 -1 -9] -6 3 4 ܘ ܒ ܘ ܗ then det (A) = ܗ ܐ ܘ

A: Given Matrix

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A: Integrate with respect to x and plug the limits.

Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

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A: Answer is in next step

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A: We can observe that in left box there is 5 which is 4+1 of the right box. Hence similarly, X should…

Q: If B = 1 1 01 2 2 -1 1 1 then det (B5) =

A:

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A: Introduction: When the integrand the a function of two variables, we follow the double integral.…

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A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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Q: 2. loq, (5xf4)=3

A: To find the value of the x.

Q: Salling elution uSin) matrice f. 22 I1-1o Ta-12 Ia =24 -1oI+38I2-413 -12I 4 I 2 1673=-6 t

A:

Q: Is det(AB) = det(B A)? Justify your answer.

A: Given- detAB=detBA To justify- The above expression.