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Practice Using Definite Integrals 1. Power companies typically bill customers based on the number of kilowatt-hours used during a single billing period. A kilowatt is
Practice Using Definite Integrals 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 = (), where P is kilowatts, : is time in hours, and / = 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(()
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