A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

The point P(16 , 9 ) lies on the curve y = \sqrt{ x } + 5. Let Q be the point (x, \sqrt{ x }+ 5 ). a.) Find the slope of the secant line PQ for the following values of x. (Answers here should be correct to at least 6 places after the decimal point.) If x= 16.1, the slope of PQ is: ? If x= 16.01, the slope of PQ is:? If x= 15.9, the slope of PQ is:? If x= 15.99, the slope of PQ is:? b.) Based on the above results, estimate the slope of the tangent line to the curve at P(16 , 9 ). Answer: ??

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

    |dw:1328845163296:dw|

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

    The 2nd one...:)

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

    And then (x, \sqrt{ x }+ 5 ) is |dw:1328845351408:dw|

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

    slope at x= 16.9= .1248053 slope at x= 16.01=.1249805 slope at x = 15.9 = .12519593 slope at x = 15.99 = .1250195

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

    Thanks Mertsj!

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

    How do you find b?

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

    Well based on looking at those slopes I would expect it to be between .1249 and .1251 so I guess my estimate would be .1250 What would yours be?

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

    yeah, not quite mine is .1255, but i believe yours is right!

  9. 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.