Formulate the required Newton's form of the interpolating polynomial for the given function using the conditions specified. Use these to interpolate the value of the function at x = 2.5 and x = -1.8, if possible. Compare the accuracy of each estimate to the actual value by calculating the percentage error. Round all values to five decimal places. y = e* sin x + e-* cos x

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the 3rd degree polynomial using points which are not equally spaced.

Formulate the required Newton's form of the interpolating polynomial for the given function using the
conditions specified. Use these to interpolate the value of the function at x = 2.5 and x = -1.8, if
possible. Compare the accuracy of each estimate to the actual value by calculating the percentage error.
Round all values to five decimal places.
y = e* sin x + e* cos x
Transcribed Image Text:Formulate the required Newton's form of the interpolating polynomial for the given function using the conditions specified. Use these to interpolate the value of the function at x = 2.5 and x = -1.8, if possible. Compare the accuracy of each estimate to the actual value by calculating the percentage error. Round all values to five decimal places. y = e* sin x + e* cos x
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