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Related Rates
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Using the chain rule to relate changing quantities, including dtdy=dxdy⋅dtdx, and applying this to volume, distance, and angle rates.
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Related Rates
AHL AI 5.9
Given three variables x, y, and z,
dzdy=dzdx⋅dxdy.
Hence, given dzdx, we can find an expression for dzdy by calculating dxdy.
Volume related rates
AHL AI 5.9
Given the time rate of change of radius, length, height, or width of a three dimensional object, you may find the time rate of change of volume by taking the derivative of the volume equation.
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