Chapter 5.1, Problem 31E

(a)

To determine

To sketch: The graph of $f\left(x\right)=\sqrt{x}$ on the interval $\left[1,3\right]$.

(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 $f\left(x\right)=\sqrt{x}$ on the interval $\left[1,3\right]$ for $n=4$; and sketch the appropriate rectangles.

(d)

To determine

To find: The midpoint Riemann sums of $f\left(x\right)=\sqrt{x}$ on the interval $\left[1,3\right]$.with $n=5$ subintervals.