Explore BrainMass

Explore BrainMass

    Mathematics - Calculus

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    For the function:

    y(x) = x^2 - 4.1x + 1.7

    find the instantaneous rate of change of the function at x = 2. Compare the instantaneous rate of change to the average rate of change on the interval [1.9, 2.0].

    (Please see the attached file)

    © BrainMass Inc. brainmass.com September 29, 2022, 9:43 pm ad1c9bdddf
    https://brainmass.com/math/basic-calculus/instantaneous-rate-change-function-219136

    Attachments

    SOLUTION This solution is FREE courtesy of BrainMass!

    y = x^2 - 4.1x + 1.7

    (a) dy/dx = 2x - 4.1

    dy/dx at x = 2 is 2(2) - 4.1 = -0.1

    (b) Average rate of change = [2^2 - 4.1 * 2 + 1.7 - (1.9^2 - 4.1 * 1.9 + 1.7)] / (2 - 1.9) = -0.2

    The magnitude of the instantaneous rate of change < The magnitude of the average rate of change.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com September 29, 2022, 9:43 pm ad1c9bdddf>
    https://brainmass.com/math/basic-calculus/instantaneous-rate-change-function-219136

    ADVERTISEMENT