Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:**(f) The sum of the squares of the odd integers between 0 and 100.**
In this section, we'll explore how to calculate the sum of the squares of all the odd integers from 1 to 99. Odd integers in this range are 1, 3, 5, 7... up to 99. The task is to square each of these integers and then find their total sum.
For instance:
- \(1^2 = 1\)
- \(3^2 = 9\)
- \(5^2 = 25\)
Continuing this process for each odd integer up to 99, and then summing these results, will give us the desired total.
This concept is useful in various mathematical applications including algebraic expressions and problem-solving situations where specific integer properties are important.
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