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2.6 Related Rates #30

Added Oct 07, 2015 •

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Thanks Hondo & David!

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calculus  related rates one of the hardest lessons you will ever learn So today we're going to do number 30 I will be doing party people to be doing party so what we know is that a boat is being pulled into a dock by a stream which where we are labor labeling as as variables 13 and the unknown is act but luckily this is a special right triangle so we have 5 repartee were looking for the rate of change of x feet per second so what we do is we do square plus x squared equals L squared because it's basically a squared plus b squared equals c squared 2 C * Cynthia's the cons game it's going to be 12 squared equals L squared some when we take the derivative this goes away cuz it's a constant in this becomes 2x DX to LVL over DT to cross off so now you have to explain to them why it's okay to plug in the 12 for the sea but not the 13 for the AL or the 5 for the X in the second is constantly changing NS train comes in Ellis but C is the constant one always going to be so now that we have accent dxdt you plug-in X or you plug-in out because it's easier to saying specifically in the book you wondering wave the length of 13 in 13 and then you have dld to change of the Rope is -4 then you have X which is 5 when L is 13  DX overheating you looking for DxD / 5 / 5 x / d t is equal to 13 * -4 and that's how much it's changing that's how much exits changing your why does it make sense that our answers negative it's so it gives the rate of change of X instead of L pld so if you can work out the exact same work and you'll end up at LTD  but instead of plug me in those numbers right there you can plug in 5  times -4 equals 13 GL GT and when you solve for it  8 l equals 5 * 34820 over 13 Matt star units with that wait wait what part is holding for is the rate of change of X and what part b solving for is the rate of change of life heartfelt thanks

Uploaded by Kristin DeWit.

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2.6 Related Rates #30

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