5. Find de for y = 3csc x + x2 dy On= -3ese(#)cot(2) + 1) dy = -3csc x)cot ( x 10 dx O 2) dy 3csclr)cot (7)

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A: Given below the detailed solution

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A:

Q: Find the antiderivative of the functions. S 6x dx S(12x - 5)dx S 3dx S(2x2 + 3)dx 1.) 2.) 3.) 4.)…

A: 1. ∫6x dx2. ∫12x-5dx3. ∫3 dx

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Q: Find y' of cot (xy2) + xy = x².

A: Given query is to find derivative of the expression.

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A: P

Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

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Q: 18. y = sin x cos x

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Q: valuate 1 dz da dy 3x²+3y²

A: The following problem can be solved using the cylindrical coordinates We first convert the x,y,z…

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A:

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Q: уху + ху %3D 7, у"

A: x.y+x.y=7we know thatddx(uv)=vdudx-udvdxv2    and ddx(u.v)=udvdx+vdudxdifferentiate…