C(pl) Time [hours] C [g/L] The following data are collected from a bioreactor experiment, during the growth phase. 0 1.0 2.0 4.0 6.0 0.1 0.341 1.102 4.95 11.24 (a) Fit a natural cubic spline for these data and use it to estimate the number of cells at time 3, 5, and 7 hours. Show your matrix derivation for the linear system of equations, and solve it using computer software. (교재의 예제 18.3처럼 풀기) (Hint: x=7에서의 값은 S4(x) 에 대입해서 extrapolation 하기) (b) Plot the cubic spline over the time range 0 to 8 hours. (Hint: plot결과는 다음과 같이 나와야 함) 14 121 = 18 18 Time( Cubic spline using 5 des points 6 Deport Spline polynomial