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anonymous
 5 years ago
compute the difference quotient of the given function;
A(t)=2t/ 3t
anonymous
 5 years ago
compute the difference quotient of the given function; A(t)=2t/ 3t

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0/\y difference quotient =  right? /\x

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the change in "y" that is the difference quotient;  the change in "x"

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02t  is your equation right? 3t

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when we divide everything by"t" we end up with 2....not that I know what thats sposed to help :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but you can't divide evrything by t.....that's false maths

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yes you can... multiply by 1/t//1/t it equals 1

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02t*(1/t) = 2   (3t)(1/t) = 3/t  t/t

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0they are equal equations

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0as t> infinity; we get 2/1 = 2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0but how that helps out, I dont know :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0perhaps you problem here is that you want to find: A(t+h)  A(t)  is that right? h

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0amistres.....exactly....u are a genius....pliz continue

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lol.... im a genius when compared to fish :) ok; we just fill in our equation with this new jargon...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0[2(t+h)/ 3(t+h)]  [2t/ 3t] //h ; the "//h" just means all on top of h

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02t+2h 2t    //h 3t+h 3t lets get like demoninators and add away

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(3t)(2t+2h)  (3th) 2t  //h (3t+h)(3t)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0gotta adjust for my own stupidity here... (3th) is what it should have been... 3t +6h 2t^2 2th  [6t 2t^2 2th]  //h (3th)(3t)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.03t +6h 6t  //h (3th)(3t)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.03t +6h  //h multiply top and bottom by 1/h (3th)(3t) 3t +6h  (3th)(3t)(h) we good so far?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i kind of gat lost how does (3t)(1/t) =1

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when we get a variable stuck on the bottom, then the limit goes to 0 as that variable gets really big: for example; 1  = .000000000...000000001 10000000...00000000 which is very very tiny

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.03/t goes to zero; and t/t = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oooh ok didn know that

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0I gotta recheck something, I think I forgot how to add :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0right here....... 6t +6h 2t^2 2th  [6t 2t^2 2th]  //h (3th)(3t) 6h  //h ; thats better, told ya I forgot how to add :) (3th)(3t)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.06h  //h ; now we multiply (1/h) top and bottom (3th)(3t) 6h  //(h/h) (3th)(3t)(h)  6  thats our answer (3th)(3t)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when h=0; we get 6/(3t)^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0A = 2t/ 3t A' = (3t)(2)  (2t)(1)//(3t)^2 A' = 62t +2t // (3t)^2 A' = 6/(3t)^2 ....see much quicker :)
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