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Mathematics
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A lawn sprinkler is constructed in such a way that dθ/dt is constant, where θ ranges between 45° and 135° (see figure).† The distance the water travels horizontally is where the constant v is the speed of the water. Find dx/dt and explain why this lawn sprinkler does not water evenly. What part of the lawn receives the most water? Find dx/dt. (Consider that dθ/dt = c, and enter your answer in terms of c.)
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