2- Show that: (-1)m (2m + 1)! NIE

Q: Since b =2i ̂-j ̂-3k ̂ and c =i ̂-5j ̂+k ̂, what is the result of ( b . c )?

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

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Q: Prove that: m3 = m – 3m,m, + 2m²

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: 11. If QM = 6x - 11 and MR = 2x + 9, find MN. %3D

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: In(z,) – In(-V3 – 1) = -In(2) – 1

A: given the argument ∅ of the complex number -3-i as -5π6.and also the modulus of a complex number say…

Q: (-1)"2" /ñ Prove that if m is a positive interger, 1'(-ni +3) =1:3.5...(2m – 1)

A: I will use method of induction to prove the statment.

Q: Q.2. Proof that V= u8--

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Q: Q2/ fincd lachre trans form for at X- 3x+2X=lee

A: given equationx"-3x'+2x=1-e2tby assuming that initial condition is zero.x"=s2X(s)and x'=sX(s)and…

Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

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Q: Verify that (AB)T = BTAT.

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Q: 2 is a counterexample of vxay(x = 1/y), where the domain for all variables consists of all integers.…

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

A: Unit Given element is a unit

Q: Prove that AABC A DEF. C=12. D2,4) E(4, 2) 6-14.214 A6 4)

A: Compare the lengths of both the triangles.

Q: 5. Prove that (Z, × Z6)/((2,3)) S Z12.

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Q: 3 2 If A = use the Cayley-Hamilton theorem to determine A?. 5 1

A: We can solve this by using given information

Q: Given: 23 = Z1 Prove: АВ АС 2 3/6 E

A: Given: The angle ∠3 is equal to ∠1. Concept used: If the two angle of a triangle is equal then side…

Q: ZA is complementary to ZB and ZB is 8. Suppose

A: If two angles are complementary then they makes to 90°. If two angles are supplementary then they…

Q: 15 Apply Garass elimination methad to solve the Sy stem, 2X+y+22=3, 3x -Y+ 4Z=7 4X +3y +6 2- S

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Q: In Z15, compute (a) 6⊡5 = (b) 14⊞7 = (c) 9⊡10 =

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Q: Is the equation Ax = b consistent for all b in R^3? Explain.

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Q: HeW. By the Same way Prove that: X Ju (x) (X)

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Q: A Moving to another question will save this respons Quèstion 1 If y = u - 4 and u = 3x2 + 10 , find…

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Q: Suppose m e Z. Prove by both contrapositive and contradiction that if m² + 2m + 4 is odd, then m is…

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Q: 2 Find z. TVans form afthe f.llowing (a) {finwns

A: Calculate z-transform for n≥0: Zsinωn=∑n=0∞sinωnz-n               =12i∑n=0∞eiωn-e-iωnz-n…

Q: 1] Let X,YER. Prove that VxVy(4x+9y>9⇒(x>5/4 Vy> 4/9)) using method of indirect proof.

A: Prove that ∀x∀y4x+9y>9⇒x>54∨y>49, where x, y∈ℝ. Prove the statement using method of…

Q: Show that SU2(C) is simply connected and SO3(R) = RP³.

A: Consider SU2C group  SU2=α-β¯βα: α,β∈ℂ,α2+β2=1 To show it is simply connected we will show its…

Q: 3. Find a counterexample for the following: a] bd(sUT)- (bds)U (hdT)

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Q: α Let V₁ = {(₁)|a € R}. V₁ with standard V4 operations will fail both axiom "close under addition"…

A: Let A be a set and ∘ binary operation on A then 1. We say A is closed under the binary operation ∘…

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: 2. Show that p q is congruent to (p - 4)A .

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Q: Is provethat V3 is lrrational hunber

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: The characteristic of Z3[x] is 6. a) True b) False

A: Determine whether the given statement is true or false.

Q: Suppose that X is a (A -e100, p 3e-100)-BCP. What is P(X(1)X (2)X(3) = 4)?

A: Answer is 4.

Q: Prove A by Contradiction

A: Solution :-

Q: 3. Which statement about k (z)= 3z -7z+2 is true?

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Q: show that x'-15x +C= O has at most root on E2,2] one

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Q: 3. Let A = {3k : k € Z} and B = {15m + 12n : m, n € Z}. Prove that A = B.

A: Let     A = {3k : k∈ℤ}    and          B = {15m+12n: m,n∈ℤ}To show :- A=B∵Let  x∈B  ⇒x = 15m1+12n1…

Q: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: Prove the given statement by the indicated method. (1). By Direct Proof: "Vm,n € Z*,+> 2."

A: ∀m, n∈ℤ+,We know square of an integer is always non-negative Hence (m-n)2≥0…

Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

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Q: HW KLX) = 2x+5 7 -1. Find ke-²¹ (x) 2. Prove by kok orklok

A: Let's find inverse function.

Q: 51 3 -[---] -4 2 -2 Let u= (a) 5u-2v, 3 V= 5 W= -1 Find:

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Q: Use the following problem: Given that Z1= Z4, prove that 22 = 23. 3 Write your proof (in any…

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Q: Prove that the expression 2y2 - 128 is equal to 2(x² + 2) (x² – 2) (x8 + 4x+ + 16) Swer:

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Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: 9. In OP, QR = 7x – 20 and TS = 3x. What is x? -

A: Joining QP and TP, we get the radius of the circle.

Q: Suppose n (a)= 7a + 4, determine a such that n (a) = 39. %3D

A: GIVEN n(a) = 7a+4 and n(a) = 39

Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

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Q: Prove they are equal 4 = 7(2x+ 1) - 5x -3(3x + 1)

A: