1. Consider y=f(x)%3Dsin(3x)+x² over [0, 37/2]. (By hand but use a calculator) a) Use the three nodes xo-0, x1= 3n/4, x2= 37/2 to construct a quadratic int rpolation polynomial P2(x) and compare P2(1) and f(1). b) Use the three nodes xo-0, x1= 7/2, x2= T, X3= 3n/2 to construct a cubic in rpolation polynomial P3(x) and compare P3(1) and f(1).

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A: Newton's divided differences interpolation

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: