1 1 1 If A =0 -1 2 then At- 2A³ – A? + 21 = %3D 0 0 2 A) 2A B) 2(I– A) C) 2(I+A) D) 2(A – I)

Q: The product of2r - 3 and x +4 can be expressed as A) 2r2 +x - 12 C). 2r2- 12. D 2r2 + 5x - 12 B)…

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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: xdx 3 (5–4x-x2) Z

A: We have to evaluate the integral

Q: A. y = -2(x – 4)² + 1 B. y = 2(x – 4)² + 1 C. y = 2(x + 4)² – 1 D. y = -2(x + 4)² – 1 7.

A: 7. A parabola can have equation of the form x=a(y-k)2+h. This parabola will have vertex at (h,k) and…

Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: ५हीकटिकप्रेट %3D (ट+ प्ढ़ी-धा

A: Solution  Given13 - (2n+2) = 2(n+2) + 3n=> 13 - 2n - 2 = 2n + 4 +3n

Q: 3x Calculate: dx (x² + 2)² 3 а) + C 4 (x² + 2)² 3 + C x² + 2 b) 3 c) +C 4x2 + 8 3 + C 2x2 + 4 d) 1…

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Q: (4 – a2)

A: To integrate.

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

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

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: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

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Q: b.) /2x – 2 - Vx + 6+1 = 0

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Q: 5л — 2 dx x2 +1 10.)

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Q: (1 + 1)e dr 5.

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Q: | (x – 3)2 - c) dx Va2 – 6x

A:

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In…

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Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: 1 da (2a + 1) +1) 1. 8.

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Q: Find 2(A)+3B-2C :). 1 4 -2 1 A = B = 2 -4 -2 1 C = %3D %3D %3D 1 -1 1 2 1

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Q: Find the difference quotient of Ax) = 4x² – 7x+5 %3D

A: Finding the difference quotient of f(x)

Q: (20" + 6a²)dæ + 6x²) dæ Find (2,x7

A: ∫(2x7+6x2) dx

Q: 1 [(3x)2-1]2

A: We will use partial fraction to solve the integral

Q: B) Prove that (A + B) +(C + D) = (A+B) (C+D) %3D

A:

Q: which part is A(1) and which is A(2)?

A: Solution-: We have given x¯=64.2,n=46,s=27.9 Here, σ- is unknown so we use t-test We want to find…

Q: 2. If Ā = ê + ŷ, B = 2â – 3ŷ + 2 and C = 4ŷ – 32, determine %3D (a) (Ã × B) × Č (b) Ã× (B × Č)…

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Q: Find the J(2x + 1)³ dx

A: