ارجوا المساعده ..... عاجل

السلام عليكم ورحمة الله وبركاته ,,,,

ارجوا المساعده في حل هذا البرنامج

X 0 1 2 3

F(x) 1.000 5.437 22.167 80.342

Use Lagrange interpolation formula to write down a 3rd – degree polynomial which inter-polate f at the given points and also find p3(1.6). Also, construct the Divided difference table for the given data points .

Q2 : Use a suitable composite integration formula to approximate the integral

2 X2e-X2 dx with h=0.5 ∫

Q3 : Given the initial value problem y = t + y , y(0)=0 . Use Taylor's method of order four to approximate y(0.6) with n = 3