Rates Problem - AP Calculus - Lecture Notes, Study notes of Calculus

This lecture is from AP Calculus. Key important points are: Rates Problem, Advance Trignometry, Functional Derivatives and Integrals, Water Level, Height of Water

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

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1/1 Calculus Section 2.6B LT: Solve Related Rates Problems Examples 1) Water is flowing at the rate of 50 m?/min from a concrete conical reservoir (vertex down) of base radius 45 m and height 6 m. How fast is the water level falling when the water is 5 m deep? cS i ee ee t _ & ae : f 4s yw =e \ s V= 3 Y 6 & de gh 2 se. ¥ = S (En) h ov =4sh \s = =n _ars7 1, >_ 2S, 3 * ale a“ " OV _ WS+r 4) So. ae ae 2 asso 2S —— aaS oa at ae Sa OKIE) (LT 2) A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft fram the house, the base is moving at the rate of 5 ft/s. How fast is the top of the ladder sliding dawn the wall at that moment? By _2 an Ss ~\2 Gls 7 |