(5) The ring (Z6,+6,•6) has that rad Z, = (a) ((0), +6. -6 ) (b) ((2), +6.•6 ) (c) (3), +6,-6 ) (d) No Choice O (a) O (b) O (c) O (d)

Q: 3) Simplify the multiplication or division statement symbolically (without using tiles). [ a)…

A: Part a,             2x2-3x-2Part b,             5b2+4-3Part c,             9r-21r23Part d,…

Q: The coefficient е со of x in 8x 5x +2x + 7

A: Given 8x3+5x2+2x+7

Q: 4. Perform the following operations: a) (4x²+5x+3)+(3x²–2x+8) b) (3r² –7x+2)(5x²+4x-6) c)…

A:

Q: verify that3(AB) = (3A)B = A(3B)

A: Given matrix

Q: Find the product for (m-4)(m-3)

A:

Q: (b) (-1)" (b)(-1)*+-

A:

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

A:

Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

A:

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

A: Solution:     Definition of Bessel's function:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

A:

Q: S(3x + 5)e3*+5 dx D 1 e3x+5 3 (3x +4) + C 3x+5(3x + 6) + C B)e C) e3*-5 (3x + 6) + C D) e3*+5(3x –…

A: Using substitution method of integration & By parts rule

Q: (8y + 17) (бх - 7)" (3х - 29)

A:

Q: 2[6a-2a(3a+3b)+6a2]

A: The given expression is

Q: 15) 2x2- 7x +5

A: See the attachment

Q: Let / (r) – = 2x 3z+2 and g (r) 6x 5x+2. What is the rule for (g-f) (x)? o (g-) ()- 4 2x o (g-) (2)…

A: Given functions are                                   f(x)=2x4-3x2+2g(x)=6x2-5x+2 we have to find…

Q: (-4y2 - 3y + 8) - (2y2 - 6y - 2)

A: Consider the given function and simplify the given expression. −4y2−3y+8−2y2−6y−2 Remove the…

Q: Consider Evaluate 3x)

A:

Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: (x3 — 6х? + 7х+ 6) by (х — 3)

A:

Q: 1) 7x - 58x + 16 A) (7x + 8)(x+ 2) B) (7x – 2(x+ 8) c) (7x – 2(x – 8) D) (7x + 2Xx- 8) 2) 2-1-3 A)…

A: According to our guidelines we are supposed to do only first three subparts. kindly repost other…

Q: Since it is known that x2 + y? = c², write the expression below in terms of c2 -2(x8+ y®) + 28(x6+…

A: -2(x⁸+y⁸) = -2{(x⁴+y⁴)² - 2x⁴y⁴} = -2{(x²+y²)² - 2x²y²}² + 4x⁴y⁴ = -2(c⁴ - 2x²y²)² + 4x⁴y⁴ = -2(c⁸ -…

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: If 8 = (AB) - (AB)o, then with usual notations, prove that [(A) – (a)][(B) – (B)] + 2N8 = (AB)?+…

A: Given:-                A-αB-β+2Nδ = AB2+αβ2-Aβ2-αB2

Q: S3 ¹(s²-2s+2)(s²+2s+2)· e. L-11 7

A: In this question, we need to find the inverse Laplace of the given function.

Q: 7.) (x+ 7x-44) ÷ ( x+ 9)

A:

Q: /- dr r(r + 10r + 25)

A:

Q: (구-1)-(4-V)

A: we have to simplify(7--4)-(-1--16)

Q: What is the sum of the coefficient of (x + y −z)8

A:

Q: 3. Which of the following is equivalent to 4a2- 25b6 ?

A:

Q: 10. (3k2- 2k + 5) + (-2k² + 6k -7)

A:

Q: Which of the following is equivalent to 4a2 - 25b6 ? (2a - 56) (2a + 56*) (2a - 56°) (2a + 56) (2a -…

A:

Q: 4 | (5a' + 4x")dr Find 3

A:

Q: 1 (ii) Determine (P-3)2+16'

A:

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375

Q: X-N(2.9), then 3X+2 ~().

A: We have givenX ~ N(2,9)