anonymous
  • anonymous
If f'(x)=sin[(pi*e^x)/2] abd f(0)=1, then f(2)=?? How do you do this when you can't take the integral of f'(x)
Mathematics
chestercat
  • chestercat
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amistre64
  • amistre64
why cant you take the integral?
anonymous
  • anonymous
what level of precision is expected in the answer? because this could be approximated with a directional field.
amistre64
  • amistre64
vector fields eh..... ive seen them but havent played in them yet :)

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anonymous
  • anonymous
its a practice problem on the calculus ab course description
amistre64
  • amistre64
it says not to inegrate?
anonymous
  • anonymous
Sorry, I meant slope field, is it multiple choice or open response?
amistre64
  • amistre64
slopes was my thought to; the slopes indicate the curve..... even outline it
anonymous
  • anonymous
it is multiple choice..
anonymous
  • anonymous
the choices are -1.819 -0.843 -0.819 0.157 1.157
anonymous
  • anonymous
well it doesn't say don't integrate... i just don't know how to integrate it
anonymous
  • anonymous
Then you should be able to construct f based on the slope f' at each x, and knowing that f(0) = 1, see how that process eliminates possibilities and gets you closer to selecting an answer.
anonymous
  • anonymous
oh....that makes sense...but u don't know any other values
anonymous
  • anonymous
That's okay, just start at f(0) = 1 and find f'(0) to know where the point next to x=0 would be and draw it on a graph. Continue this process until you see that some values are more likely than others. Maybe this process will be enough to get down to only one choice.
amistre64
  • amistre64
f'(x)=sin[(pi/2)*(e^x)] this is quite the same as sin(2*5^x)
anonymous
  • anonymous
hi amistre....are u a teacher or a student?lol
amistre64
  • amistre64
both :)
anonymous
  • anonymous
i thinks i got it...thanks
anonymous
  • anonymous
with the slopes?
amistre64
  • amistre64
slopes seem easier than the integral lol
anonymous
  • anonymous
i used a graphing calculator and graphed it from -1 to 4 to see the change in slope negative and positive to see if f(x) increases or decreases
anonymous
  • anonymous
amistre64, please show me how to integrate sin(2*5^x)
amistre64
  • amistre64
lol..been working on it :) seems a nightmare
amistre64
  • amistre64
integration is more of an art than a science ;)
anonymous
  • anonymous
never mind it didn't work...the first derivative doesn't help
amistre64
  • amistre64
there aint no sin(ab) identities are there...

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