3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

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A: Topic:- derivatives   

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A: I am attaching image so that you understand each and every step.

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Q: 9.) Find d'y Given: x +y = 1 dr 10.) Find coen y= 3x- 1

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Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

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A: note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

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Q: Given: sing e is a third quadrant angle, and tand -ả, dis a second-quadrant angle; find tan(+b) -1/3...

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A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

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Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

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A: Please refer to the image below

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Q: B. Odr + (2r +1- Or) d0 = 0

A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

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