Unit 4: Contextual Applications of Differentiation
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FRQ 1
4 parts
A particle moves along the x-axis so that its position at time [math] is given by [math].
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4 parts
A conical tank has height [math] ft and radius [math] ft at the top. Water flows in at [math] ft[math]/min. The volume of a cone is [math].
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3 parts
A rectangle has a length [math] that is increasing at [math] cm/s and a width [math] that is decreasing at [math] cm/s. At a certain time, [math] cm and [math] cm.
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3 parts
The function [math] is twice differentiable with [math], [math], and [math].
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3 parts
A [math]-foot ladder leans against a wall. The bottom slides away from the wall at [math] ft/s.
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3 parts
A particle moves along the [math]-axis with velocity [math] for [math].
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