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anonymous

  • 5 years ago

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)

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  1. amistre64
    • 5 years ago
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    why cant you take the integral?

  2. anonymous
    • 5 years ago
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    what level of precision is expected in the answer? because this could be approximated with a directional field.

  3. amistre64
    • 5 years ago
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    vector fields eh..... ive seen them but havent played in them yet :)

  4. anonymous
    • 5 years ago
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    its a practice problem on the calculus ab course description

  5. amistre64
    • 5 years ago
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    it says not to inegrate?

  6. anonymous
    • 5 years ago
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    Sorry, I meant slope field, is it multiple choice or open response?

  7. amistre64
    • 5 years ago
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    slopes was my thought to; the slopes indicate the curve..... even outline it

  8. anonymous
    • 5 years ago
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    it is multiple choice..

  9. anonymous
    • 5 years ago
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    the choices are -1.819 -0.843 -0.819 0.157 1.157

  10. anonymous
    • 5 years ago
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    well it doesn't say don't integrate... i just don't know how to integrate it

  11. anonymous
    • 5 years ago
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    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.

  12. anonymous
    • 5 years ago
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    oh....that makes sense...but u don't know any other values

  13. anonymous
    • 5 years ago
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    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.

  14. amistre64
    • 5 years ago
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    f'(x)=sin[(pi/2)*(e^x)] this is quite the same as sin(2*5^x)

  15. anonymous
    • 5 years ago
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    hi amistre....are u a teacher or a student?lol

  16. amistre64
    • 5 years ago
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    both :)

  17. anonymous
    • 5 years ago
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    i thinks i got it...thanks

  18. anonymous
    • 5 years ago
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    with the slopes?

  19. amistre64
    • 5 years ago
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    slopes seem easier than the integral lol

  20. anonymous
    • 5 years ago
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    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

  21. anonymous
    • 5 years ago
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    amistre64, please show me how to integrate sin(2*5^x)

  22. amistre64
    • 5 years ago
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    lol..been working on it :) seems a nightmare

  23. amistre64
    • 5 years ago
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    integration is more of an art than a science ;)

  24. anonymous
    • 5 years ago
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    never mind it didn't work...the first derivative doesn't help

  25. amistre64
    • 5 years ago
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    there aint no sin(ab) identities are there...

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