Chapter 5.1, Problem 38E

(a)

To determine

To sketch: The graph of $f\left(x\right)=2{\cos }^{-1}x$ on the interval $\left[0,1\right]$.

(b)

To determine

To calculate: The value of $\Delta x$ and the grid points.

(c)

To determine

To illustrate: The midpoint Riemann sum of the function $f\left(x\right)=2{\cos }^{-1}x$ on the interval $\left[0,1\right]$ for $n=5$; and sketch the appropriate rectangles.

(d)

To determine

To find: The midpoint Riemann sum of $f\left(x\right)=2{\cos }^{-1}x$ on the interval $\left[0,1\right]$.with $n=5$ subintervals.