Explanation Given information: The interval is 0 ≤ x ≤ 3 and is divided in n = 6 subintervals. Explanation: By comparing the interval 0 ≤ x ≤ 3 to a ≤ x ≤ b , it becomes a = 0 and b = 3 . The length of each subintervalis Δ x = b − a n = 3 − 0 6 = 0.5 . Consider the interval a ≤ x ≤ b If the interval is divided in n subintervals, the mid points of the subinterval are x 1 , x 2 , ... , x n . Where x 1 = a 0 + Δ x 2 , x 2 = x 1 + Δ x , x 3 = x 2 + Δ x , ... , x n = x n − 1 + Δ x . Now, a 0 = a ⇒ a 0 = 0 Therefore, the mid points are x 1 = a 0 + Δ x 2 = 0 + 0

Calculus & Its Applications (14th Edition)

14th Edition

ISBN: 9780134437774

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar

Publisher: PEARSON

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Question

Chapter 9.4, Problem 4E

To determine

The value of Δx and the mid points x1,x2...,xn are of the subintervals where the interval 0≤x≤3 is divided in n=6 subintervals.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.4, Problem 3E

Chapter 9.4, Problem 5E

Students have asked these similar questions

Find the value of c such that the regionbounded by y = c sin x and the x-axis on the interval [0, ∏] hasarea 1.

Hoping to get some assistance in writing the proof for this one by using definition of uniformly continuos. Have to let epsilon be greater than zero and then choose/find a delta.

Let R=[0,4]×[−1,2]. Create a Riemann sum by subdividing [0,4] into m=2 intervals, and [−1,2] into n=3 subintervals, then use it to estimate the value of ∬R(3−xy2)dA. Take the sample points to be the upper left corner of each rectangle. answer = ?

Chapter 9 Solutions

Calculus & Its Applications (14th Edition)

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The value of Δ x and the mid points x 1 , x 2 ... , x n are of the subintervals where the interval 0 ≤ x ≤ 3 is divided in n = 6 subintervals.

Solution Summary: The author explains the value of Delta x and the mid points of the subinterval.

Concept explainers

Videos

The value of Δx and the mid points x1,x2...,xn are of the subintervals where the interval 0≤x≤3 is divided in n=6 subintervals.

Want to see the full answer?

Chapter 9 Solutions