A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

y=(sinx)(sqrt{25-x^2}), what is the range? how do find that?

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

    \[y=(sinx)(\sqrt{25-x^2}) \]

  2. ash2326
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    let's find out the domain first sin x --x can be any real number sqrt (25-x^2) 25-x^2>=0 or x^2<=25 x will be in the [-5,+5] so the domain is [-5, 5] max value of square root will occur when x=0, it'll be 5 now sin x' s range is [-1,1] so the range of the function is [-5,5]

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

    oh okay, thank you. but it says estimate the range to two decimal places, explain why only an estimate is possible...

  4. ash2326
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    let me check

  5. ash2326
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry i made a mistake, for the max value when x=0 root 25=5 but sin 0 =0 sin is max when x=pi/2 i.e when x=1.57 at x=1.57 the value of y is 4.74711 sin x is minimum at x=-pi/2 or -1.57 therefore the minimum value is -4.74711 range is from [-4.74711, 4.74711]

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

    oh okay, so you basically plug in 1.57 and -1.57 into the function to get the y-value?

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

    oh okay makes sense :) thank you :D

  8. ash2326
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    welcome, sorry i made a mistake earlier

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

    np :) thank you.

  10. 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.