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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Expert Solution
Step 1
The data in the table are rates in tones per second. Since the input is in second, the definite integral will give the net change in tones for the first six seconds. For t = 0, the amount spewed into the atmosphere is 0 tones. (Remember given data is the rate of change).
But, Q( 6 ) = 0
That implies,
Step 2
From the table, the left endpoints estimate is
and the right endpoints estimate is
So the upper and lower estimates for the total quantity Q( 6 ) of erupted materials after six seconds are 230 tonnes and 172 tonnes respectively.
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