) Find the coefficient of xy in the expansion of (x + y²)°. ) Find the coefficient of x5y® in the expansion of (-3x³ + 6y²)8.

Q: . Rewrite the equality of ideals (r+ y/2) = (3 – 4/2) in Z[/2] in terms of elements.

A: We know that, A subring  B of a ring R is called a ideal of R if for every r∈R and for every b∈B,…

Q: 20. What is the value of the 4th term of the expansion of (y + 2z)°? 16y"z 448y 23 25628

A:

Q: Q2/ Fin x in the

A:

Q: Show that for A symmetric inf. = Amin(A).

A:

Q: Compute det (A) using the cofactor expansion along the first column.

A: First we expand using the first column

Q: What is the coefficient of x°y“z in the expansion of (x+3y+z)T? O 2310 O 1663200 O 187110

A: To find the coefficient of x6y4z in the expansion of x+3y+z11.

Q: What is the coefficient of the x^7y^4 in the expansion of (x+y)^11

A:

Q: Evaluate fff. 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

A:

Q: In Z[V3], the element 2+v3 is:

A: Unit Given element is a unit

Q: How did they calculate what T does to the elements of B?

A: You want to know "How did they calculate what T does to the elements of B?" We have  B=1, x, x2, x3…

Q: Find the fifth term in the expansion (3x + 4y)8 O A 840x*y4. O B. 840x5y3. OC 3360x³y5. O…

A: We will use the formula given below to answer this question.

Q: In the expansion of (x + y)16 which term has the same coefficient as x14y2? O a. x12,4 Oc x3y14 O d.…

A:

Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: (2) Find all the numbers z such that elz = 10i.

A: Consider the given. eiz=10i

Q: Give The 15T four non zero Term of Mhe Sentes aboufx= %3D

A:

Q: 6. Use a substitution to find S (x* + 1)" z³dx.

A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…

Q: If B' is of order 2x3 and BA is order 3x4, then A is of the order T

A:

Q: f in a AP the sum of m tern=ms is equal to n and the sum of n terms is equal to n then prove that…

A:

Q: (2) =(z") %3D ylan O İhi O

A:

Q: 8 {4} {{ {}₁ s² + a² s² +6² (1)

A: Given: L-1as2+a2·ss2+b2............(1)12∫sin2t+3u+sin7u-2tdu............(2) We have to find the…

Q: find z trans foyms of folleing -an simwn ĭ

A:

Q: 3) Find the mZT= %3D

A:

Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

Q: Find the wronkian of 64 w(t)= W Cyi s Yo)

A: Given: 64y''-36y=0

Q: Is 1z = 1 for all z ∈ C?

A:

Q: メ~ zCe,52) %3D n-1 ECX; - 2) %3D Find MSECT.) and JustCTs) ?

A: Given      X~Nμ, σ2 T1=S12=∑xi-x¯2n-1   and   T2=S22=∑xi-x¯2n+1

Q: If A and B is a symmeyric, proof that AB-BA is a skew symmetric?

A: We know that a symmetric matrix is a square matrix that is equal to its transpose and a…

Q: 2. Solve the given SLE using LU-Factorization X, + x, +xz = 3 x, - x, +4x; = 4 2х, + 3x, — 5х, %3D0…

A:

Q: 5 Given: 21 (x + 7)º, L2 = (2x − 3). ZABC = (x²), ZD = (5x-4)° Show that ZABC= ZD. Ĉ

A:

Q: (AB) = 30 (АВ) 3D 10 Calculate the Coefficient of Collignation. Given (aß) = 5 (а.В) %3D 5

A:

Q: Find the value of k for which A is symmetric: 1 4 3k A = 4 27 %3D 29 12 7k +1 9.

A: We have to find value k

Q: Find the fifth term in the expansion (3x+4y)8 A. 840x4y4. В. 840х у3. ,5, C. 3360x³y5. С. D.…

A: Expansion using bionomial theorem

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: a2 z a2z If z = In(x² + y²), find + 2 Əx2 ду?

A: The given function is z=ln(x2+y2).

Q: elements. Why is Dg not isomorphic to Z/8Z?

A: D8 is not isomorphic to Z/8Z because D8 is not a cyclic group but Z/8Z is cyclic. For Cayley table,…

Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

A: NOTE: According to guideline answer of first question or first method can be given, for other please…

Q: 1: Find Z by convolution theorem. (z- 2)

A: convolution theorem

Q: 1. Prove that fraction where m is z-4

A: Given: zn-1z-1 ⇒zn-1nz-1 ----(1) Let apply the limit in equation (1) limz→1zn-1nz-1 ----(2) Let n=pq…

Q: Find the general soladtion of y+5y'=5

A: Given equation is y"+5y=5                          (1) Auxiliary equation to the homogeneous…

Q: Let X~ Binomlal (n, P) Find ECx3) by Central moments.

A:

Q: (In 2x)' In V k.

A:

Q: 2. In the expansion of (2x + 3y)(4y – 3x) the xy term is : А. — ху В. + xy С. 8ху D. -9ху

A:

Q: 4.By applying the Convolution Theorem to calculate L-1 is obtained: Determine the value of (a+b): a…

A: We have to find the solution.

Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. 4 Enter the…

A:

Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.