A = 4 ||A| %3D %3D |Allo %3!

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Q: ((-2x +5)dx

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A: Given differential equation is homogeneous do put y =  vx

Q: Linearize f(x) = (x2 - 3x + 3)2.1 near x = 3. %3D

A: Consider the function  f(x)=x2−3x+32.1

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A: Solve the following integration

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A: Taking 4 common outside from the numerators term, The denominator can be written as

Q: dx (4x²+1)* 2.

A: The given integral is:  ∫84x^2+1dx Consider, x=12tanθ On differentiating both sides. dx=12sec2θ dθ…

Q: 3x2-3x+4 dx x2-2x

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Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

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Q: Find LL² (3x+2y)³ dxdy JO

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Q: 6. sec²(3x) – V8 W%3= 6x +9 0.

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Q: S x² x²+49 -dx

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Q: 11-3x Determine f dx x+2x-3

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Q: T. (3x² - 4x¹ + 2)dx -1 -3

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Q: 2. Show that (2x + i)(2x– i) = 4x +1 %3D |

A: Prove the equation

Q: . Differentiate: 3y=(2x+y)²

A: Step 1:

Q: 3x+ 14x + 14 x +4 dx 3)

A: