A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

find the area between the curves f(x)=e^0.8x and g(x)=-2^0.5x +1 for the interval [-3,2]

  • This Question is Closed
  1. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    f(x)-g(x) sounds familiar to me

  2. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    in other words, the height of each partition is simply the distance from f(x) to g(x)

  3. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you use a calculator or all by hand?

  4. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1327280743692:dw|

  5. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i need to do it by hand

  6. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you will need to know which function is above and which is below.

  7. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Integrate top function minus the bottom function.

  8. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    on the given interval.

  9. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int f(x)-g(x)dx\] no you wont, all that changes is a sign and area is always positive for drop a sign

  10. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int_{-3}^{2} e^{0.8x}-(-2^{0.5x} +1)dx\] hmm, might need to write that out better

  11. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    or is that right?

  12. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you might wanna check to see that nothing cross tho

  13. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if it does then you gotta split it up at the intersection

  14. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does f(x)=g(x) at any point in the interval?

  15. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well i dont think so

  16. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if i got your equations right, the wolf says they cross

  17. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i figured out the integral thing but I didn't get the answer 6.935

  18. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let me say again that the graph is important. On this interval the graphs intersect and therefore the integral must be seperated.

  19. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes, intersections are important; height? not so much :)

  20. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (-1.282, 0.359) is the intersection right?

  21. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You will integrate from -3 to the point of intersection with g(x) - f(x) and then from the point of intersection to 2 with f(x)-g(x)....

  22. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int_{-3}^{i} e^{0.8x}+2^{0.5x} -1\ dx+\int_{i}^{2} e^{0.8x}+2^{0.5x} -1\ dx\] where i is the intersection of f and g

  23. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I thought you mentioned solving by hand?

  24. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and if one of those is negative, then toss out the "-" sign :)

  25. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes I need to solve it by hand, and I did what you just said but i got the wrong answer

  26. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ....can you show your work?

  27. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the wolf agrees that -1.282 is the intersect

  28. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That is correct....but that is not solving by hand as I stated earlier.

  29. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits_{-3}^{-1.282} -2^{0.5x}-e ^{0.8x} dx + \int\limits_{-1.282}^{2} e ^{0.8x}-(-2^{0.5x}) dx\]

  30. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its checking if her results are accurate tho.

  31. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wheres the "1"?

  32. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you might be better of with an exact intersect ....

  33. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and who is making you do this by hand?

  34. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its one thing to understand a concept; its another to torture ....

  35. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No...It is important to understand the concept and to use technology that is required in the classroom and on ap exams... I can help her learn to enter the information into the calculator and how she must set it up by hand to write the integral that represents the area. Dropping a sign because area is not negative is not good enough reasoning for a solution.

  36. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[[-2*2^{0.5x}- 5/4e ^{0.8x}] + [5/4 e ^{0.8x}+2*2^{0.5x}]\]

  37. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Have a good night...

  38. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh but it is; since 5-3 = 2, and 3-5 = -2 all that changes is sign, not abs value

  39. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh

  40. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    youre still missing that +1 from the top that ints up into an x

  41. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh yess. I see may be that's why i dont get the answer

  42. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    most likely :) the rest of it seems like youve got a pretty good handle on it

  43. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how can i forget that "1" OMG i'm so stupid

  44. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it happens :)

  45. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i'll try again. thank you so muchhhhhhhh and have a great night :)

  46. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.