An interpolation function, P(x), for sin(2x) is generated interval from x = 0 to x = fracpi4 by

Question

Jason Horton · Accepted Answer

1. We are given an interpolation function $P(x)$ for $sin(2x)$ on the interval $[0, 7]$ using t

An interpolation function, P(x), for sin(2x) is generated interval from $x = 0$ to $x = frac{pi}{4}$ by using the following points: $(0, 0)$, $(frac{pi}{16}, 0.38268)$, $(frac{pi}{8}, 0.70711)$, $(frac{3pi}{16}, 0.92388)$, $(frac{pi}{4}, 1.0000)$. What is the upper bound of the error at P(0.5)?