can someone please help me solve this problem.

thank you !

Problem 1. Non-Parametric Curve Design 13 points!. Four data points were collected during a mechanical experiment and are shown below in the gure. Derive the equation for the noun parametric cubic spline. To show all work, you need to show where you got each equation and how you are solving them and give a nal answer. Then. assume that P. is moved to (3, 1.5). What is the equation for the curve? How does the shape of the curve change if P] moves? Hint: make a plot and compare them. How is the curve shape affected by moving a single point? 3.5 2.5 - 1.5 - (15 - Figure 1. Data points for Problem 1. Problem 4. Bezier Curve [3 mints}. For the data points from Problem 1 on the curve (assume Pl does not move), determine the Bezier curve. Assume u= at P0 and 11:] at P3. Make a sketch to show the curve-either tabulate some values and plot or use a spreadsheet to determine points on the curve. Clearly indicate how the curve behaves near each data point (above, below, on the point)