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so now lets look at kind of a classic related rates problem this whole idea of a trough okay so youve got this trough its ten feet long and it ends and has the shape of isosceles triangle that are three feet across at the top and i have a height of one foot if the trough is being filled with water at a rate of 12 feet cubed per minute how fast is the water level rising when the water is six inches deep okay so when i read a problem like this all right what are the things that i kind of focus in on normally we think to ourselves well what is the information that im being given etc etc i dont want to actually look at that in this case when im looking at related rates i want to ask myself what am i being asked for okay and in this case im being asked how fast is the water level rising so water level thats the height of the trough okay so what im looking for is im looking for dhdt looking for dhtt thats what i want to find you might call it something different but im going to c