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anonymous
 5 years ago
For position function s(t):=205t^2, if h is a small number, find the average rate of change of s(t) on the interval [2,2+h]. (Simplify fully)
anonymous
 5 years ago
For position function s(t):=205t^2, if h is a small number, find the average rate of change of s(t) on the interval [2,2+h]. (Simplify fully)

This Question is Closed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1s(2+h) s(2)  h

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1its alot of work just to prove that derivatives work ....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1205(2+h)^2 (205(2)^2)  h 205(4 +4h +h^2) 20 +20  h 202020h5h^2  h 20h5h^2  = 20 5h h

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think I have to use the formula (f(a)f(x))/(ax)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can you explain to me how to use that formula?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1now for the derivative we get: 10t ; at t=2 we get 20 when h=0, we get 20

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh no derivatives yet

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you explain to me how to use it? like what's a and what's x?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1yes, you are doing the proof for derivatives so that in the next few weeks your teacher will say, and this is how we do it the easy way...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1f(a) and f(x) simply mean to use the formula with an a and an x instead of a t like this: f(a)  f(x) (205a^2)  (205x^2)  ax

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1205a^2 20+5x^2  a  x 5a^2+5x^2  a  x 5(a^2x^2)  a  x 5(a+x)(ax)  a  x 5(a+x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, what do you plug into f(a)?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1.............. a = 2 and x = h

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is a=2 from the 2+h part or from just the 2 part.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1it doesnt matter..... a =2 OR a=h, OR x=2 OR x=h.... 5(a+x) 5(2+h) is the same things as 5(h+2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Like, I know the forumla, I just don't understand how to use it.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1does it matter if f(a) = 2 and f(x) = (2+h)? no

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1becasuse when h=0 it just disappears to 20

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1\[\frac{yy_0}{xx_0}\] do you understand this formula?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1that is all it is; but they rename that parts ..... but it doesnt matter what they name them, they still do the same things

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the bottom part is ax... don't you put 2h?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why did you only put h?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1\[\frac{f(a)f(x)}{ax} \iff \frac{yy_0}{xx_0} \iff \frac{f(x+h)f(x)}{h}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1because \((x+h)(x)=h\)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1why what? why does xx+h = 0+h = h?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1\[(x+h)(x)\] \[x+hx\] \[xx+h\] \[(xx)+h\] \[0+h\] \[h\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the formula would be \[(f(2+h)f(2))\div(h)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so its ((205(2+h)^2)(205(2)^2))/h
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