Solve the following Set of equations using Newton-Raphson method with initia Values X=Y = 2 = 1 4x + y² + 2 = 11 4X 2 X +49 +2 = 18 2 X ² +9+42 = 15

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Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ =0.5, x₂ = 1.5,…

A: Solution using Newton Raphson Method with two decimal places is given as follows.

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Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ =0.5, x₂ = 1.5,…

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A: Tr,s=Fxr,s,yr,s x=r+sy=r-srs∴∂x∂r=1∂x∂s=1∂y∂r=1sr-r+sr2      =1r2∂y∂s=1r-s-r-ss2…