MATH-M 211 Lecture Notes - Lecture 9: Implicit Function, M.I. High, Pythagorean Theorem
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Require chain rule and implicit differentiation: rates often impact each other. 10-15-13: write given rate(s, write unknown, write formula to find unknown, implicitly differentiate (take derivative with respect to time, substitute given numbers, solve for unknown, round to 3 decimal places (minimum for ap exam) or leave with. A baseball diamond is 90 ft per side. A player is running from first to second base at 12 ft/s. A rocket is travelling vertically at 300 mph. When it is 2 mi high, how fast is the angle of elevation changing for an observer standing 5 mi from the launch pad? o o: find o o o o, find o o o. A spherical bubble is being inflated at a rate of 180 cm3/s. At what rate is the radius changing after 3 seconds? o: find, volume of sphere: o o o, after 3 seconds, volume increased by 540 cm3 find r o o o.
