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Calculus: Simpson's Rule The figure shows the graph of y = ax + bx + c. Suppose that the points (-h, yo), (0, yı), and (h, y2) are on the graph. It can be shown that the area enclosed by the parabola, the x-axis, and the lines x = -h and x = h is h Area = (2ah? + 6c) Show that this area may also be given by Area 3 (O+ 4y1 + y2) yA (h, y,) (0, У,). (-h, Yo), -h h

Calculus: Simpson's Rule The figure shows the graph of y = ax + bx + c. Suppose that the points (-h, yo), (0, yı), and (h, y2) are on the graph. It can be shown that the area enclosed by the parabola, the x-axis, and the lines x = -h and x = h is h Area = (2ah? + 6c) Show that this area may also be given by Area 3 (O+ 4y1 + y2) yA (h, y,) (0, У,). (-h, Yo), -h h

Calculus: Early Transcendentals
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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Calculus: Simpson's Rule The figure shows the graph of y = ax + bx + c. Suppose that the points (-h, yo), (0, yı), and (h, y2) are on the graph. It can be shown that the area enclosed by the parabola, the x-axis, and the lines x = -h and x = h is h Area = (2ah? + 6c) Show that this area may also be given by Area 3 (O+ 4y1 + y2) yA (h, y,) (0, У,). (-h, Yo), -h h
Transcribed Image Text:Calculus: Simpson's Rule The figure shows the graph of y = ax + bx + c. Suppose that the points (-h, yo), (0, yı), and (h, y2) are on the graph. It can be shown that the area enclosed by the parabola, the x-axis, and the lines x = -h and x = h is h Area = (2ah? + 6c) Show that this area may also be given by Area 3 (O+ 4y1 + y2) yA (h, y,) (0, У,). (-h, Yo), -h h
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