Titlebook: Examples and Problems in Advanced Calculus: Real-Valued Functions; Bijan Davvaz Textbook 2020 The Editor(s) (if applicable) and The Author

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Applications of Integrations,To compute the area of the region bounded by the graph of a function . and the .-axis when the function takes on both positive and negative values, we must be careful to break up the interval [.,?.] into subintervals on which the function does not change sign.

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Lecture Notes in Computer Sciencems such as greatest profit, least cost, shortest time, greatest voltage, optimum size, greatest revenue, least size, greatest strength, greatest distance, and so on. Problems of this type ask for the best value of some variable quantity and hence are called ..

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Examples and Problems in Advanced Calculus: Real-Valued Functions

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Optimization Problems,ms such as greatest profit, least cost, shortest time, greatest voltage, optimum size, greatest revenue, least size, greatest strength, greatest distance, and so on. Problems of this type ask for the best value of some variable quantity and hence are called ..

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Sequences and Series,integer .. It is customary to denote a sequence by a latter such as . and to denote its value at . as . rather than .(.). It is often convenient to write the sequence as .. If . we may write .. We study the sequences whose range values are real numbers; i.e., each . represent a real number. Sometime

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