Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, …

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Fundamental Theorem of Calculus, Part 1 5.3 The Fundamental Theorem of Calculus Fundamental Theorem of Calculus, Part 2 5.3 The Fundamental Theorem of Calculus G graph …

Figure 5.20 Energy-Level Diagrams for Hydrogen. (a) Here we follow the emission or absorption of photons by a hydrogen atom according to the Bohr model. Several different series of …

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What is this speed limit? (We explore this problem further in Example 2.12.) The idea of a limit is central to all of calculus. We begin this chapter by examining why limits are so important. …