(Solved): Very urgent please  a) Find a third-order function with Lagrangian interpolation functions. b) ...

Very urgent please 

a) Find a third-order function with Lagrangian interpolation functions.

b) Find a third-degree function using Newton's Center Difference Interpolation method.

c) Since it is known that there is voltage v(t) for the given circuit, calculate the true absolute error at t=1.2 s for options a and b.

Question 2: a) Find a quadratic polynomial that can be used instead of voltage in the circuit given in the first question using the curve fitting method.

b) Analyze whether the curve you find is reliable by performing error analysis for the polynomial you have found.

The equations describing the circuit in the figure are given below. In this circuit, the voltage v(t) changes depending on the time given in Figure 2. 0-2. The voltage values measured between s are given in Table 1. According to the measurement results given, it can be used instead of v(t) voltage in the circuit; -VERIPATA %20 V Figure 2. Critically damped response for the given circuit 2 0.03 a) Find a third-order function with an interpolation functions. b) Find a third-degree function using Newton's Center Difference Interpolation method. c) Since it is known that there is voltage v(t) for the given circuit, calculate the true absolute error at t-1.2s for options a and b. Question 2: a) Find a quadratic polynomial that can be used instead of voltage in the circuit given in the first question using the curve fitting method. b) Analyze whether the curve you find is reliable by performing error analysis for the polynomial you have found. t 0 V(t) 1 |