(a) (AN B)':

Q: [3 5. Let A = and B = [, Find C = (AB)"

A: In the given matrix, A and matrix B  Apply matrix multiplication technique .

Q: (1) Evaluate r (2.3)

A: Gamma function is defined by: (1) Γ(a)=∫0∞ta−1e−tdt,Re(a)>0(2) Γ(a)=Γ(a+1)a,…

Q: (avb)л (aVc) d → e (bA c) → (F → k) ^ c) .. -F

A:

Q: L-1{1} = Select one: O a. d(t) O b. Zero O c.u(t) O d. 1 ||

A:

Q: Evalaute L{2sinh? 2t} 16 16 8 а) s(s? + 16) b) 28)s 16) c) s(s² + 16) d) s(s? – 16) a

A:

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: Show that

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

Q: Show that we can have: (a) ANB = ANC without B = C. (b) AUB = AUC without B = C.

A:

Q: (d) 3! 2! and (3-2)!

A: Given that  D) 3!.2! E) (3.2)!

Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: finD 1) 2) g(s (x) a) p(x) x?-2x+2 b.) g4)==3x t. %3D cl.) s(x) = x-1 4) Cx))

A: Given that px=x2−2x+2, qx=3x+1, rx=x and sx=x−1. 1 We have to find the prx. prx=pxUse…

Q: 90 1) Let it be 2P + 50 = 2C2, then the value of n is: c) 7 b) 5

A:

Q: Which of the following is false? A. Ine =1 В. еxp (0) — 1 C. In1=0 D. exp(In0)=0

A: Use the basic property of number.

Q: following which of the reys is open ? [6, 15] (6,15) 9. C. 6.(6,1s] d. [6,15)

A:

Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

A:

Q: Prove : (A-B)n C =(A n C) -B

A:

Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

A:

Q: b) Let: [1 1 0] A = 0 2 3 10 1 and B = 0 2 Determine: (i) AB. (ii) A+ A".

A:

Q: to wex'tan'! ( x+y" ×キツ

A:

Q: a) Evaluate: i) L{4t² – 5sint} ii) L-1

A: We have to use Linearity  property of the Laplace transform: Lf(t)±g(t)=Lf(t))±L(g(t)           and…

Q: Given n (A^B) =17, n(A) =45, n(B) =143, calculate n (AUB) = ? and enter your answer in the box…

A: We have to calculate .

Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: 4x dx. 12. Evaluate: J 3+x²+æ+1

A: the given integral is: ∫4xx3+x2+x+1dx we have to evaluate the given integral.

Q: Which of the following is equivalent to 3 - V2 O A. V2 А. O B.-V2 3- V2 O C. 3+ v2 O D.

A:

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

A:

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

A:

Q: Having more than 1,000 students in a year, assume that I choose a simple random samples of 30 final…

A:

Q: Let B : and i Then (7)8

A:

Q: 6. Which of the following pairs of graphs are is (а) (b) 5 3

A:

Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: Find (a) ∣AT∣, (b) ∣A3∣, (c) ∣ATA∣, and (d) ∣5A∣.

A:

Q: (8) Evaluate: c. (-4)3 с.

A:

Q: Q6) Show that if P(AU B) C P(A)U P(B) then either A C BV BCA. Justify your answer.

A: The solution are next step

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: Use the following matrices and find an elementary matrix E that satisfies the stated equation. =( A…

A: The given matrices are: