Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Ankoret

nearsighted cow classic calculus problem

  • one year ago
  • one year ago

  • This Question is Open
  1. IsTim
    Best Response
    You've already chosen the best response.
    Medals 0

    Are we suppose to find the derivative of its sight?

    • one year ago
  2. lgbasallote
    Best Response
    You've already chosen the best response.
    Medals 0

    maybe the integral of its periphery

    • one year ago
  3. Ankoret
    Best Response
    You've already chosen the best response.
    Medals 0

    Supposed to find "the vertical angle subtended by the billboard at her eye in terms of x" and also the distance the cow must be standing from the billboard to maximize the first thing.

    • one year ago
  4. mickifree12
    Best Response
    You've already chosen the best response.
    Medals 0

    is this an optimization problem?

    • one year ago
  5. mickifree12
    Best Response
    You've already chosen the best response.
    Medals 0

    also it would help if you gave us more information

    • one year ago
  6. Ankoret
    Best Response
    You've already chosen the best response.
    Medals 0

    yes, optimization. hang on, getting more info.

    • one year ago
  7. Ankoret
    Best Response
    You've already chosen the best response.
    Medals 0

    Rectangular billboard 5 ft in height is 12 ft above the ground. Nearsighted cow with eye level at 4 ft above ground stands x ft from the billboard. Express theta in terms of x, then find the distance the cow must stand from the billboard in order to maximize theta.

    • one year ago
  8. AmberADamas
    Best Response
    You've already chosen the best response.
    Medals 0

    12-5=×

    • one year ago
  9. Spacelimbus
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1343007462718:dw|

    • one year ago
  10. Spacelimbus
    Best Response
    You've already chosen the best response.
    Medals 0

    Behold! My drawing skills!

    • one year ago
  11. Spacelimbus
    Best Response
    You've already chosen the best response.
    Medals 0

    Anyway, since it is barely decipherable, I will add what I think is best to do. I have chosen f(x) to be the angle in which the cow sees the board, y_2 should be the entire angle since there should be substitutions involved. \[ y_2=f(x)+y_1 \rightarrow f(x)=y_2-y_1 \] now for the angles \[ \tan(y_1)=\frac{8}{x} \rightarrow y_1 = \tan^{-1}\left(\frac{8}{x}\right)\] and \[ \tan(y_2)=\frac{11}{x} \rightarrow y_2=\tan^{-1} \left(\frac{11}{x}\right)\]

    • one year ago
  12. Spacelimbus
    Best Response
    You've already chosen the best response.
    Medals 0

    the rest is calculus,\[ f'(x)=0 \\ f''(x)<0 \longrightarrow \text{Max}\]

    • one year ago
    • Attachments:

See more questions >>>

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.