Unit 1 Exam Calculus Review

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What is the purpose of adding + C in indefinite integrals?

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To represent the constant of integration, indicating that there are infinitely many antiderivatives.

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What is the Fundamental Theorem of Calculus?

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What does dy/dx represent in calculus?

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It represents the derivative of y with respect to x, indicating the rate of change of y as x changes.

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How do you find the critical points of a function?

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By setting the derivative equal to zero and solving for x.

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What is the significance of a particle changing direction in motion?

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It occurs when the velocity changes sign, which can be found by analyzing the derivative of the position function.

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It represents the net area under the curve of f(x) from x = a to x = b.