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...Math groupwok related rates word problems solutions one car leaves a given point and travels north at mph another hour later west what rate is the distance between cars changing instant second has been traveling for z x y set up problem by extracting information in terms of variables as pictured on triangle first sentence dx t dt dy start late goal find dz property that combines sides pythagorean theorem using taking derivative xdx ydy zdz plug thus ft ladder placed against large building base resting an oil spill it slips per minute change height top above ground when from organizing weuse again dierentiating notice how hypotenuse constant xx yy plugging note negative means decreasing slipping down stone dropped pond sends out circular ripple whose radius increases sec after seconds rapidly area closed increasing dr da formula circle r dierentiate both with respect to rdr spherical balloon being inated so its diameter cm min quickly volume dd dv d sphere but rewrite v ddd...