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Solve the second-order homogeneous differential equation y'' - 5y' + 6y = 0.
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Find the derivative of the function f(x) = 3x² + sin(x).
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What is the Fundamental Theorem of Calculus, and why is it considered "fundamental" to the study of calculus? Answer : The Fundamental Theorem of Calculus is the central pillar that connects the two main branches of calculus: **differentiation** and **integration**. In essence, it rigorously proves ... This relationship is the foundation for countless applications in physics, engineering, economics, and statistics....
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