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1. Power companies typically bill customers based on the number of kilowatt-hours sed during a single billing period. A kilowatt is a measure of how much power (energy) a customer is using, while a kilowatt-hour is one kilowatt of power being used for one hour. For constant power use, the number of kilowatt-hours used is calculated by kilowatt-hours kilowatts time (in hours). Thus, if customers use 5 kilowatts for 30 minutes, they'll have used 5 kilowatts-hours = 2.5 kilowatt-hours. ● Suppose the power use of a customer over a 30-day period is given by the continuous function P = f(t), where P is kilowatts, t is time in hours, and t = 0 corresponds to the beginning of the 30 day period. A. Approximate, with a Riemann sum, the total number of kilowatt-hours used by the customer in the 30-day period, and explain why your Riemann sum is an approximation of the desired property. B. Derive an expression representing the total number of kilowatt-hours used by the customer in the 30-day period, and explain your reasoning. (This expression should not be an approximation.) C. Consider the following table of data for the function f(t).

1. Power companies typically bill customers based on the number of kilowatt-hours sed during a single billing period. A kilowatt is a measure of how much power (energy) a customer is using, while a kilowatt-hour is one kilowatt of power being used for one hour. For constant power use, the number of kilowatt-hours used is calculated by kilowatt-hours kilowatts time (in hours). Thus, if customers use 5 kilowatts for 30 minutes, they'll have used 5 kilowatts-hours = 2.5 kilowatt-hours. ● Suppose the power use of a customer over a 30-day period is given by the continuous function P = f(t), where P is kilowatts, t is time in hours, and t = 0 corresponds to the beginning of the 30 day period. A. Approximate, with a Riemann sum, the total number of kilowatt-hours used by the customer in the 30-day period, and explain why your Riemann sum is an approximation of the desired property. B. Derive an expression representing the total number of kilowatt-hours used by the customer in the 30-day period, and explain your reasoning. (This expression should not be an approximation.) C. Consider the following table of data for the function f(t).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1. Power companies typically bill customers based on the number of kilowatt-hours used during a single billing period. A kilowatt is a measure of how much power (energy) a customer is using, while a kilowatt-hour is one kilowatt of power being used for one hour. For constant power use, the number of kilowatt-hours used is calculated by kilowatt-hours kilowatts • time (in hours). Thus, if customers use 5 kilowatts for 30 minutes, they'll have used 5 kilowatts-hours = 2.5 kilowatt-hours. Suppose the power use of a customer over a 30-day period is given by the continuous function P = f(t), where P is kilowatts, t is time in hours, and t = 0 corresponds to the beginning of the 30 day period. A. Approximate, with a Riemann sum, the total number of kilowatt-hours used by the customer in the 30-day period, and explain why your Riemann sum is an approximation of the desired property. A Nova B. Derive an expression representing the total number of kilowatt-hours used by the customer in the 30-day period, and explain your reasoning. (This expression should not be an approximation.) C. Consider the following table of data for the function f(t).
Transcribed Image Text:1. Power companies typically bill customers based on the number of kilowatt-hours used during a single billing period. A kilowatt is a measure of how much power (energy) a customer is using, while a kilowatt-hour is one kilowatt of power being used for one hour. For constant power use, the number of kilowatt-hours used is calculated by kilowatt-hours kilowatts • time (in hours). Thus, if customers use 5 kilowatts for 30 minutes, they'll have used 5 kilowatts-hours = 2.5 kilowatt-hours. Suppose the power use of a customer over a 30-day period is given by the continuous function P = f(t), where P is kilowatts, t is time in hours, and t = 0 corresponds to the beginning of the 30 day period. A. Approximate, with a Riemann sum, the total number of kilowatt-hours used by the customer in the 30-day period, and explain why your Riemann sum is an approximation of the desired property. A Nova B. Derive an expression representing the total number of kilowatt-hours used by the customer in the 30-day period, and explain your reasoning. (This expression should not be an approximation.) C. Consider the following table of data for the function f(t).
t f(t) 0 2.3 1 2.5 2 2.1 3 3.9 4 3.6 5 5.5 6 4.5 7 5.6 8 1.2 9 1.0 10 1.8 Recall that f(t) represents the number of kilowatts being used by a customer at time t hours from the beginning of the billing period. Estimate the number of kilowatt-hours the customer uses in this 10-hour period, and explain your method.
Transcribed Image Text:t f(t) 0 2.3 1 2.5 2 2.1 3 3.9 4 3.6 5 5.5 6 4.5 7 5.6 8 1.2 9 1.0 10 1.8 Recall that f(t) represents the number of kilowatts being used by a customer at time t hours from the beginning of the billing period. Estimate the number of kilowatt-hours the customer uses in this 10-hour period, and explain your method.
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