Q. 8 - Calculus

Question

Notation: Describe the meanings of each of the following mathematical expressions or how they are commonly used in this chapter:     

$f\left({x_k}^{\ast }\right)∆x$

Step-by-Step Solution

Answer

The expression$f\left({x_k}^{\ast }\right)∆x$ is the area of kth rectangle.

Where $f\left({x_k}^{\ast }\right)$ is the height and $∆x$ is the width of the rectangle.

Step 1. Given information.

We are given an expression,

 $f\left({x_k}^{\ast }\right)∆x$

Step 2. Defining the expression

In Riemann Sums, the expression$f\left({x_k}^{\ast }\right)∆x$ is the area of kth rectangle.

Where $f\left({x_k}^{\ast }\right)$ is the height and $∆x$ is the width.