06: a: Let A = Find (2A-I)B' 3 0 11 0 1 2 -1 1 5 =[₁ B = -2 0 3 2

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: 1+ 8(t-2) = Select one: O uz(t) o 5(t - 2) O 1 2u2(t) none

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Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: rỉ + 10x1x2 + x = as² + ßt²

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Q: None In|V3t ++ c 5+x2 In V5+x2 V5 5. In 5+x3 00 In 5+x

A: The solution is given below :

Q: Suppose that n(A) = 17, n(A n B) = 9, and n(A U B) = 24. Find n(B). n(B) 8 x

A: Given that n(A )= 17,n(A∩B) =9,n(A∪B) =24,n(B ) =?

Q: Xi: 1 2 3 2 U 35 3 Yi: 21 3 532 M2 そX+y (4. X+1),

A: To find the given values

Q: z = b +, for a + 9 = . a

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Q: For the planer curve represented by the parametric equations x = 3t and y=t² + 5, what is the…

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: 3. (a) 5e (b) 2e-21

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Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

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Q: 12. (2 + 5z)e/3 dr

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

A: Sets Question

Q: Find (2a° + 3x*) dæ + C

A: We evaluate given integral

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: Which system of inequalities best describes the given graph below?

A:

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: r4 3. |2ª – 8| d.x Jo

A: Use the property of modulus, 2x-8<0   when  x <32x-8>0   when x >3 So, 2x-8=-(2x-8)…

Q: #40 Find yll Hf 2x²+y²=4

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Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

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Q: If Ax) = (x – 5)* thenf(x) equals A x-5e х — 10е 2r D 2r + 25 E 2х — 10е

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Q: f A = (1 2)           (-4 5)   and B (-3   1)            (0  -2) calculate ATB

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Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: 8. 2z (z – 1)?

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Q: 1) 2 J0 (1 – 9ry²) dy dr

A: For the given double integration , first we gonna solve for dy then dx.

Q: Calculate AB – 2CT where 1 2 A -1 0 1 1 2 1) В C = 0 1 (-3 2, -

A: Given the matrices A=12101-1,B=-1021-11,C=-21-32. Calculate AB-2CT.

Q: 8 4 dxdy

A: Given,             ∫08∫y24ex2dxdy

Q: x(In 7-2in 3)=-3ln 7-2in 3

A: The given expression xln 7-2 ln 3=-3 ln 7-2 ln 3. We have to find the value of x.

Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

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Q: x + 4x +16x + V... + V4"x+3 – Vx = 1

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Q: If n(A) = 46, n(B) = 19, and n(A n B) = 8, find n(A u B) %3D

A: Given Data: The number of elements in set A is: n(A)=46 The number of elements in set B is: n(B)=19…

Q: (x – 1)² 2b + bx b + C then the value of b is 3

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Q: If n(A) = 64, n(B) = 18, and n(AN B) = 7, find n(A U B).

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Q: 2. B = {1+x,1+x²₂x+x²} and x = 6 + 3x − x². Find [x]5-

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Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A: