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

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Chapter 9.4, Problem 4E

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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.

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Chapter 9.4, Problem 3E

Chapter 9.4, Problem 5E

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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.

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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.

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