Explore BrainMass

Explore BrainMass

    Rate of Change and Derivatives Applied to a Falling Rock and Profit Margin

    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!

    A rock is dropped from a tower on the Brooklyn Bridge, 276 feet above the east river. Let t represent the time in seconds.

    a.) write a model for the position of the function (assume air resistance is negligible.)

    b.) find the average velocity during the first 2 seconds.

    c.) find the instantious velocity when t=2 and t=3

    d.) how long will it take before the rock hits the water ?

    e.) when it hits the water, what is the rock's speed?

    Find the marginal profit function
    P= -0.0002x^3 + 6x^2 - x - 2000

    © BrainMass Inc. brainmass.com March 4, 2021, 6:14 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/rate-of-change-and-derivatives-applied-to-a-falling-rock-and-profit-margin-36483

    Solution Preview

    The solution is attached below in two files. the files are identical in ...

    Solution Summary

    Rate of change and derivatives are applied to a falling rock and to profit margin. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT