A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

NathanJHW

  • one year ago

Given that f (−0.5) = 2 and f ′(−0.5) = 4 , using a tangent line approximation you would estimate f (0) to be:

  • This Question is Closed
  1. NathanJHW
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    0 1 –2 –3 4

  2. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you understand what that all means?

  3. NathanJHW
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Not really.

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

    You can use the equation of a line to make your 'linear approximation' . y - y1 = m( x - x1) Suppose x1 = -0.5 y1 = f(-0.5)= 2 m = f ' (-0.5)=4 We have y - 2= 4 ( x - (-.5)) y = 4( x + .5) + 2 now plug in x = 0

  5. NathanJHW
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    y=2

  6. NathanJHW
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    y=4 sorry

  7. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The tangent line gives us the slope of the curve at that very point. So if we know the value of our function somewhere nearby, and the slope of the tangent line at that point nearby, we can estimate the value of the function at our point of interest.

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

    you can also solve this using delta y ≈ f ' (x) * delta x

  9. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433289725823:dw|

  10. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we estimate f(b) as (b-a) * f'(a)+ f(a)

  11. 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.