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

hosiduy Group Title

can anyone help me with this: x = 2sin t; y = 3cos t; z(x,y) = 3x^2 + 2y find: d(dz)/d^2(t)

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    you mean \[\frac{d^2z}{dt^2}\] ?

    • 2 years ago
  2. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    @hosiduy

    • 2 years ago
  3. hosiduy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

    • 2 years ago
  4. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    just put x(t) and y(t) in the equation of z and take derivative twice

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

    then what will u get?

    • 2 years ago
  6. hosiduy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i still don't understand clear your way, can you make that more clear?

    • 2 years ago
  7. meera_yadav Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    hiii z(x,y)=3 x^2+2y first substitute the values of x and y in z(x,y), you'll get z(t)=6sin^2t+6cost dz/dt=6(2sint cost -sint) =6(sin2t-sint) {2sint cost =sin2t} d^2z/dt^2 = 6(2cost2t-cost) :) cheers

    • 2 years ago
  8. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[x=2 \ sint \\ y=3 \ \cos t \\ z(t)=3x^2+2y=3 (2 \ \sin t)^2+2( 3 \ \cos t)=12 \sin^2t+6 \cos t\]

    • 2 years ago
  9. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    @hosiduy now take derivative of z(t) twice am i clear now?

    • 2 years ago
  10. hosiduy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh, i understand now, thank all guys :D

    • 2 years ago
  11. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

    • 2 years 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.