Use Newton's method to approximate a root of the equation 3z + 2c + 1 0 as follows. Let 1 = 1 be the initial approximation. The second approximation r2 is and the third approximation 23 is (Although these are approximations of the root, enter exact expressions for each approximation.)

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A: Given f(x,y) = 5x sin(3xy).  Find fxy(4,2).

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A: By parts method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx*∫v(x)dxdx ddx(arc(sinx))=11-x2

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A: We simplify the given expression using  distributive property which is a(b+c) =ab+ac.

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A: The arithmetic progression 10, 5, 0, -5

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Q: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

A: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

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