Could someone explain how to do ( PART A) only? Can you show me the script via Matlab and run it? A screenshot will be fine.

ont Paragraph Styles 1) An experiment was conducted to calculate the work done by force. The force F is used to pull a block in the angle from horizontal as shown in the figure. The magnitude of force and the angle are varying with the distance x from 0 to 30 m. The data were recorded as following FCr) 5 10 30 09.0 13.014.0 10.5 12.05.0 15 20 25 F(x), N O(x), rad 0.50 1.40 0.75 0.90 1.30 1.48 1.50 a) Find the piecewise linear interpolation function z(x) -ax+ b that can be used to estimate the force F at x- 13.2 m. State 10 the function clearly and use this function to estimate force F at x- 13.2 m 10 20 30 b) Find the continuous polynomial interpolation function p(rx) State the function clearly and use this function to estimate the force F at x - 13.2 m c) Use cubic spline interpolation function to estimate the force F at x-13.2 m 20 d) Plot smooth polynomial, linear and spline interpolation functions that can be used to estimate the function values on the domain [0 301 ont Paragraph Styles 1) An experiment was conducted to calculate the work done by force. The force F is used to pull a block in the angle from horizontal as shown in the figure. The magnitude of force and the angle are varying with the distance x from 0 to 30 m. The data were recorded as following FCr) 5 10 30 09.0 13.014.0 10.5 12.05.0 15 20 25 F(x), N O(x), rad 0.50 1.40 0.75 0.90 1.30 1.48 1.50 a) Find the piecewise linear interpolation function z(x) -ax+ b that can be used to estimate the force F at x- 13.2 m. State 10 the function clearly and use this function to estimate force F at x- 13.2 m 10 20 30 b) Find the continuous polynomial interpolation function p(rx) State the function clearly and use this function to estimate the force F at x - 13.2 m c) Use cubic spline interpolation function to estimate the force F at x-13.2 m 20 d) Plot smooth polynomial, linear and spline interpolation functions that can be used to estimate the function values on the domain [0 301