A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x), .19 Use this to approximate the value of the definite integral f(x)dx. O 133,4576 O 142.4088 O 142.9792 O none of the choices

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x).
19
[ F(x)dx.
15
Use this to approximate the value of the definite integral
133.4576
142.4088
O 142.9792
O none of the choices
Transcribed Image Text:A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x). 19 [ F(x)dx. 15 Use this to approximate the value of the definite integral 133.4576 142.4088 O 142.9792 O none of the choices
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