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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

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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 3t] minutes. they'll have used 5 kilowatts + % hours = 2. S kilowatt-hours. Suppose the power use of a customer over a 30-day period is given by the continuous function P = y}. where P is kilowatts, : is time in hours. and .r = [1 corresponds to the beginning of the 30 dayr 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. [Jeriye 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.) :2. Consider the following table of data for the function r]

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