Explore BrainMass

Explore BrainMass

    Spherical Coordinates, Continuous Functions, Polar Coordinates and Limits

    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!

    Determine the set of points at which the function is continuous.

    27. F(x, y) = sin(xy)/(e^x - y^2)

    Use polar coordinates to find the limit. [If (r, theta) are polar coordinates of the point (x, y) with r >= 0, note that r --> 0+ as (x, y) --> (0,0).]

    lim (as (x,y) --> (9,0)) of (x^3 + y^3)/(x^2 + y^2)

    Use spherical coordinates to find

    lim (as (x,y,z) --> (0,0,0) of xyz/(x^2 + y^2 + z^2)

    © BrainMass Inc. brainmass.com November 30, 2021, 1:44 am ad1c9bdddf
    https://brainmass.com/math/real-analysis/spherical-coordinates-continuous-functions-polar-coordinates-and-limits-124687

    Attachments

    Solution Summary

    This solution answers and provides work for the questions based on spherical coordinates, continuous functions, polar coordinates and limits in an attached Word document.

    $2.49

    ADVERTISEMENT