Math Problem Statement

for the following set of values construct the backward difference table (9,5.0),(10,5.4),(11,6.0),(12,6.8),(13,7.5),(14,8.1)

Solution

To construct the backward difference table for the given set of values, we will use the following points:

(9,5.0),(10,5.4),(11,6.0),(12,6.8),(13,7.5),(14,8.1)(9, 5.0), (10, 5.4), (11, 6.0), (12, 6.8), (13, 7.5), (14, 8.1)

Step 1: List the values

We start by listing the values of xx and (y

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Math Problem Analysis

Mathematical Concepts

Finite Differences
Backward Difference Table
Numerical Methods

Formulas

Backward Difference Formula Δy_n = y_n - y_(n-1)

Theorems

Finite Difference Theorem

Suitable Grade Level

Grades 10-12