f(x)=32-2x^2, over the interval [1,4]. Approximate the area between the graph of f (x) and the x-axis over the given interval by summing the area of the given number of rectangles and the given condition for finding the height of each rectangle. Make sure to draw each rectangle on the graph. a)Use n = 6 rectangles and use the LEFT end of each sub-interval for the height. b)Use n = 6 rectangles and use the RIGHT end of each sub-interval for the height. c)Use n = 12 rectangles and use the LEFT end of each sub-interval for the height. d)Use n = 12 rectangles and use the RIGHT end of each sub-interval for the height.
f(x)=32-2x^2, over the interval [1,4]. Approximate the area between the graph of f (x) and the x-axis over the given interval by summing the area of the given number of rectangles and the given condition for finding the height of each rectangle. Make sure to draw each rectangle on the graph. a)Use n = 6 rectangles and use the LEFT end of each sub-interval for the height. b)Use n = 6 rectangles and use the RIGHT end of each sub-interval for the height. c)Use n = 12 rectangles and use the LEFT end of each sub-interval for the height. d)Use n = 12 rectangles and use the RIGHT end of each sub-interval for the height.
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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Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
Question
f(x)=32-2x^2, over the interval [1,4].
Approximate the area between the graph of f (x) and the x-axis over the given interval by summing the area of the given number of rectangles and the given condition for finding the height of each rectangle. Make sure to draw each rectangle on the graph.
a)Use n = 6 rectangles and use the LEFT end of each sub-interval for the height.
b)Use n = 6 rectangles and use the RIGHT end of each sub-interval for the height.
c)Use n = 12 rectangles and use the LEFT end of each sub-interval for the height.
d)Use n = 12 rectangles and use the RIGHT end of each sub-interval for the height.
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