Planet Mars

Discussion in 'Calculus' started by nycmathguy, Oct 10, 2021.

  1. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    Exercises 1.4

    20211009_201335.jpg

    For part (a), I must evaluate each interval [a, b] this way:

    Let A(t) = average velocity

    A(t) = [(10(b) - 1.86(b)^2] - [(10(a) - 1.86(a)^2] ÷ (b - a)

    For part (b), I must find derivative of the given function and then evaluate when t = 1.

    Yes
     
    nycmathguy, Oct 10, 2021
    #1
  2. nycmathguy

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,884
    use
    upload_2021-10-9_21-39-32.jpeg

    b. yes
    The instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero, or the derivative of x with respect to t.
     
    MathLover1, Oct 10, 2021
    #2
    HallsofIvy and nycmathguy like this.
  3. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    I will take mt time through the calculus textbook. I will do question 6 parts a and b and show my work here tomorrow.
     
    nycmathguy, Oct 10, 2021
    #3
  4. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    Part (a)

    20211010_144136.jpg

    Part (b)

    20211010_144143.jpg
     
    nycmathguy, Oct 10, 2021
    #4
  5. nycmathguy

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,884
    correct
     
    MathLover1, Oct 10, 2021
    #5
    nycmathguy likes this.
  6. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    Thank you.
     
    nycmathguy, Oct 10, 2021
    #6
  7. nycmathguy

    HallsofIvy

    Joined:
    Nov 6, 2021
    Messages:
    160
    Likes Received:
    78
    Yes, that is what you are to do. Why haven't you done it?
     
    HallsofIvy, Nov 7, 2021
    #7
  8. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    I posted this and other calculus 1 questions when I thought it was a good idea to study this course and precalculus at the same time. Bad idea.
     
    nycmathguy, Nov 7, 2021
    #8
Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.
Similar Threads
There are no similar threads yet.
Loading...