(Solved): If you use the forward-difference formula to calculate an approximation to the derivation of the fu ...

If you use the forward-difference formula to calculate an approximation to the derivation of the function of $f(x)=3x$ Following is the forward difference formula of derivation: $\frac{f\left(x_0+h\right)?f\left(x_0\right)}{h}$ a. 5.0 6.3 c. 5.9 d. 6.0 e. 6.1 The following data of the velocity of a body is given as a function of time. Which one of the below is the best estimate of the distance in meters covered by the body from $t=2\mathrm{s}$ to $t=12\mathrm{s}$. using combined Simpson's rule and trapezoidal rule? (Hint: use Simpson's rule from $2s$ to $6s$, and use trapezoidal rule from $6s$ to $12\mathrm{s}$.) Equations you can use: ${?}_a^{b}f(x)dx=\frac{h}{2}\left[f\left(x_0\right)+f\left(x_1\right)\right]?\frac{h^3}{12}{f}^{??}(?)$ 2. ${?}_{x_0}^{x_2}f(x)dx=\frac{h}{3}\left[f\left(x_0\right)+4f\left(x_1\right)+f\left(x_2\right)\right]?\frac{h^5}{90}{f}^{(4)}(?)$ a. 145 b. 120 c. 150 d. 390 e. 270