Explore BrainMass
Share

Explore BrainMass

    Multivariable Calculus Problems Pertaining to a Bell Surface

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

    We have the function f(x,y) = e^(-x^2 + y^2) :
    a. To draw some level curves;
    b. Calculate the gradient and determine the stationary points;
    c. To write the equation of the tangent plane to z = f(x,y) in the point (0, 0, f(0, 0)), and in the point A (1,1,f(1,1));
    d. To write the Taylor formula of f(x,y) stopped to the 2nd order, with center in the point (1,1);
    e. Tell if the surface cross the tangent plane in A.

    © BrainMass Inc. brainmass.com October 10, 2019, 3:52 am ad1c9bdddf
    https://brainmass.com/math/basic-calculus/multivariable-calculus-problems-pertaining-bell-surface-439241

    Solution Summary

    We solve several problems in mulitivariable calculus pertaining to a bell-shaped surface.

    $2.19