anonymous
  • anonymous
if v(t)= 50 + ce^0.196t by putting different values of c what is the process of getting the values for v(t)?
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
we can also put random values for t
anonymous
  • anonymous
all I want to know that how to solve e
anonymous
  • anonymous
do we have to just puglin it's value 2.71828 ?

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TuringTest
  • TuringTest
I'm not sure I understand the question... for e you just use the number 2.71828... the value of c you have will change the shape of your graph, and each corresponds to a different integral curve
TuringTest
  • TuringTest
all the different blue lines here (above ex 1) are the function v with different values of C so the exact function depends on the value of C, which is found by applying the initial conditions (if there are any)
anonymous
  • anonymous
at http://tutorial.math.lamar.edu/Classes/DE/Linear.aspx right after the example number 1 the author has sketched a graph, he claims that he made this graph by putting different values of c in v(t)=50+ce^-0.196t , for example if I want to put c=20 then how will I get the value?
TuringTest
  • TuringTest
forgot to post the link http://tutorial.math.lamar.edu/Classes/DE/DirectionFields.aspx
TuringTest
  • TuringTest
what value? you get a function, not a single value
TuringTest
  • TuringTest
put C=20 and you get v(t)=50+20e^-0.196t which is just a function of t
anonymous
  • anonymous
yeah the value of the function "v(t)"
TuringTest
  • TuringTest
at what time?
anonymous
  • anonymous
v(t)=50+20e^-0.196t how to solve it? :|
anonymous
  • anonymous
lets say 1
TuringTest
  • TuringTest
it's solved, just plug in whatever value for t you need if t is in minutes and you want the velocity at 5 min, then plug in t=5 and you get your answer
TuringTest
  • TuringTest
let's say 1?
anonymous
  • anonymous
I mean numerically or on calculator what value of e should I plug
anonymous
  • anonymous
2.71828
TuringTest
  • TuringTest
if we let C=20 and t=1 we have\[v(1)=50+20e^{-0.196}\]yes, if your calculator does not have e just put in however many digits you want for the number 2.718281828459045...
anonymous
  • anonymous
at c = 20 & t=1 I get 50.4456365691809 whereas at c20 i should get 70 isn't?
anonymous
  • anonymous
ooopps I am forgetting to add 50
anonymous
  • anonymous
got it now
anonymous
  • anonymous
thanks @TuringTest
TuringTest
  • TuringTest
very welcome, as usual :D

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