The first left-endpoint of any partition of an interval [a, b] is

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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**Interval Partitioning Quiz**

**Question:**
The first left-endpoint of any partition of an interval \([a, b]\) is ______.

(Here, a text box is provided where students can input their answer.)

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**Instructions for Students:**
In this question, identify and input the first left-endpoint of the given interval \([a, b]\). Ensure you understand the concept of intervals and partitions in mathematical terms before attempting to answer. Fill in the blank by entering the appropriate value in the text box provided.

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**Educational Note:**
Partitioning an interval \([a, b]\) involves dividing it into smaller subintervals. These subintervals have endpoints within the interval \([a, b]\). Understanding the properties of partitions is essential in various mathematical applications, such as integrals and numerical methods.
Transcribed Image Text:**Interval Partitioning Quiz** **Question:** The first left-endpoint of any partition of an interval \([a, b]\) is ______. (Here, a text box is provided where students can input their answer.) --- **Instructions for Students:** In this question, identify and input the first left-endpoint of the given interval \([a, b]\). Ensure you understand the concept of intervals and partitions in mathematical terms before attempting to answer. Fill in the blank by entering the appropriate value in the text box provided. --- **Educational Note:** Partitioning an interval \([a, b]\) involves dividing it into smaller subintervals. These subintervals have endpoints within the interval \([a, b]\). Understanding the properties of partitions is essential in various mathematical applications, such as integrals and numerical methods.
A partition is regular if each subinterval is of the same ___________________.

   ----------------------------------------
  |                 interval               |
   ----------------------------------------

(Note: The above diagram represents a text input box containing the word "interval.")
Transcribed Image Text:A partition is regular if each subinterval is of the same ___________________. ---------------------------------------- | interval | ---------------------------------------- (Note: The above diagram represents a text input box containing the word "interval.")
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