Solve the equation: (D² - 1) y = 0 Oy=c₁e* + c₂xe* + c3 cos x + c4 sinx Oy=c₁e¹* + c₂e + c3 cos x + c4 sinx

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Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

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Q: 5) Approximate x²-1|dx with a right-endpoint Riemann sum using four equal subintervals.

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A: Please see the below picture for detailed solution.

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A: The given equation is: 2sin2x-cosx=1 To find the solution in the interval [0,2π).

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Q: what substitution formula is used here ?

A: the substitution formula used here is-

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A: Given :u→ and v→ are orthogonal

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Q: 6) F(x, y, z) = (xy²z4, 2x²y+z, y³z²) a) Find curlF. b) Find divĒ.

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