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Using Newton’s Forward Interpolation Formula, find the value of sin 52° given that
sin 45° = 0.7071, ऽ) 50 = 0.7660, sin55° = 0.8192,sin 60 = 0.8660,
50165" = 0.9063.
Solve the following equations by Gauss- Seidel iteration Method. (correct to 3
decimal places).

27x + 6) - 2 = 85, 6x+15y+2z=72, x+y+54z = 110.
Use Euler’s Method with h = 0.025, compute the value of y(0.1) for
27 ടമാ; 2700) = 1.
A river is 80m wide. The depth y in meters at a distance x meter from one bank is
given by the following table.

Find approximately the area of cross section using Simpson’s 1/3 rd rule.

Using Newton-Raphson Method, derive a formula to find VN where Nis a real

number. Hence evaluate V35 correct to three decimal places.

Using Runge- Kutta Method of Fourth Order, = = வமர + y; y(0) = 1, find y(0.2)

with h=0.1

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