Learning Target INT3: I can explain the meaning of each part of the definition of the definite integral in terms of a graph, and interpret the definite integral in terms of areas, net change, and displacement. Suppose a Shocker's baseball game is being held at 1pm on a Saturday. The gates to Eck Stadium opened to fans at 12pm noon. A student worker kept track of the rate at which people entered and left the stadium from noon to 2pm. Suppose that this rate is given by r(t) in people per minute where t is measured in minutes from 0 ≤ t ≤ 120 where t = 0 is noon. Negative values of r(t) mean that more people were leaving than entering. 1. Consider the definite integral r(t) dt. What are the units of this integral? State your answer and briefly explain. 2. In real terms, free of mathematical jargon so that an ordinary person (for example, my mom) can understand, what does the definite integral r(t) dt tell you about attendance at the baseball game? Make sure your explanation focuses on attendance of the game, not mathematical features of the function or its integral.
Learning Target INT3: I can explain the meaning of each part of the definition of the definite integral in terms of a graph, and interpret the definite integral in terms of areas, net change, and displacement. Suppose a Shocker's baseball game is being held at 1pm on a Saturday. The gates to Eck Stadium opened to fans at 12pm noon. A student worker kept track of the rate at which people entered and left the stadium from noon to 2pm. Suppose that this rate is given by r(t) in people per minute where t is measured in minutes from 0 ≤ t ≤ 120 where t = 0 is noon. Negative values of r(t) mean that more people were leaving than entering. 1. Consider the definite integral r(t) dt. What are the units of this integral? State your answer and briefly explain. 2. In real terms, free of mathematical jargon so that an ordinary person (for example, my mom) can understand, what does the definite integral r(t) dt tell you about attendance at the baseball game? Make sure your explanation focuses on attendance of the game, not mathematical features of the function or its integral.
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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Transcribed Image Text:Learning Target INT3: I can explain the meaning of each part of the definition of the definite integral in terms of a
graph, and interpret the definite integral in terms of areas, net change, and displacement.
Suppose a Shocker's baseball game is being held at 1pm on a Saturday. The gates to Eck Stadium opened
to fans at 12pm noon. A student worker kept track of the rate at which people entered and left the stadium
from noon to 2pm. Suppose that this rate is given by r(t) in people per minute where t is measured in
minutes from 0 ≤ t ≤ 120 where t = 0 is noon. Negative values of r(t) mean that more people were
leaving than entering.
1. Consider the definite integral r(t) dt. What are the units of this integral? State your answer and
briefly explain.
2. In real terms, free of mathematical jargon so that an ordinary person (for example, my mom) can
understand, what does the definite integral r(t) dt tell you about attendance at the baseball
game? Make sure your explanation focuses on attendance of the game, not mathematical
features of the function or its integral.
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