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X = 1.5. it will 1.5. can you solve that ?. for example part b-- x-x0 = 1.5-1. it will be like this Suppose a

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X = 1.5. it will 1.5. can you solve that ?. for example part b-- x-x0 = 1.5-1. it will be like this

Suppose a car move from A to B with distance m (meter), and time t ( second),as given in the following table. m (meter) 1.000 1.100 1.300 1.500 1.900 t (second) 1.840 1.960 2.210 2.450 2.940 Table 1 1- First : Using least squares polynomials a. Find the least squares polynomials of degrees 2 b. Find absloute error for m=1.5 2- Second : Using Neville's method a. Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degrees one, two, and three, four to approximate each of the table1. 3- Third : compare P, (1.5) between Answer in 1 (using least sequares method ) and answer in 2 ( using Neville's method) degree 4. 4- Fourth: Calculate speed at distance m=1.5 meter, using Numerical Differentiation's method ONLY. ( write the method's name and formula that you will use) Suppose a car move from A to B with distance m (meter), and time t ( second),as given in the following table. m (meter) 1.000 1.100 1.300 1.500 1.900 t (second) 1.840 1.960 2.210 2.450 2.940 Table 1 1- First : Using least squares polynomials a. Find the least squares polynomials of degrees 2 b. Find absloute error for m=1.5 2- Second : Using Neville's method a. Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degrees one, two, and three, four to approximate each of the table1. 3- Third : compare P, (1.5) between Answer in 1 (using least sequares method ) and answer in 2 ( using Neville's method) degree 4. 4- Fourth: Calculate speed at distance m=1.5 meter, using Numerical Differentiation's method ONLY. ( write the method's name and formula that you will use)

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