3. In the field (Z7, +7,.7), then 7.7 (3-1 + 2-1) = (a) 0 (b) 1 (c) 5 (d) 6 (a) O (b) O (c) O (d) O 4. The field of quotients of (Z2, +2, -2) is (а) Qг (b) Z2 (c) Z4

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: (3s 4(x-5) 4. (340C)= 215x+-20 3--20 5. (x-23(x-1) (2x-3)(x+7) Bx + 8)=5-8 (x-6)(x+5) 8. 31 3-

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

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Q: 1. The expression 16x? – 25y? is equivalent to: A) (4x – 5y)? C) (4x – 5y)(4x + 5y) B) (16 – 25)(x?…

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Q: (c) Show that (AB)² + (A x B)² = (AB)².

A: Given ( A.B )2 + ( A×B )2 = ( AB )2

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

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Q: (b): Evaluate: (8t³ – 9t² + 10)dt

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

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

A: Solution:     Definition of Bessel's function:

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: (a) z = -V3+ i (b) z = (-1 - iv3)2 (c) z = 2 1+iv3 (d) z = (e) z = (1+iv3)(1+ i) %3D

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

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: Expand and simplify (4 – r) (7 – r) 28 3r + r2 28 + 11r + r2 28 + 3r + r2 O 28 – 11r + r2

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Q: (x3 — 6х? + 7х+ 6) by (х — 3)

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Q: (z+1)(z+6)(z+10) z(z+2)(z+3) 3. What is the residue of at z = -2 (z+3)(z–2)² (z+2)(z+6) 4. What is…

A: 3) Given f(z) = (z+1)(z+6)(z+10)z(z+2)(z+3) Then Res(z=-2) = limz→-2(z-(-2))f(z)= limz→-2(z+2)f(z)=…

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: 2х1 + 3x2 — хҙ — 2 Зx1 — 2х2 + Xз — —1 -1 %3D -5x1 4x2 + 2x3 = 3

A: Consider the provided equations, 2x1+3x2-x3=23x1-2x2+x3=-1-5x1-4x2+2x3=3 Solve the above equation by…

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: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: Find each product: c) (-7)[(3)(4)] d) (-7)[(3)(-4)1 a) (-7)(12) b) (-7)(- 12)

A: We know the  (-)×(+)=-(-)×(-)=+ Given,  a)(-7)(12)=-7×12=-84…

Q: a + 5x² + 1 물과5 + 올러 + 15㎡ + 교교+6z + 흡

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Q: (8) lf (a-b-a) za 2b 29 (b-a-c) 2b = K²(a+b+c) ³ 2C (c-α-b) then K=

A: Given:a-b-c2a2a2bb-a-c2b2c2cc-a-b=ka+b+c3    .............1We need to find the value of k.

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

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Q: In Exercises 10-11, add the polynomials. 10. (-8r³ + 5x² – 7x + 4) + (9x³ – 11x² + 6x – 13) 11.…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: (a) √738(t - 4)dt (b) 738(t + 2)dt (c) √²38(t+4)dt (d) f²3x²8(t-4)dt (e) ¹3x²8 (t+2)dt -3 (f) ²3x²8…

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Q: It is possible to write xk as a linear combination of Chebyshev's polynomials, for example %3D…

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Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n