# Multivariable Calculus Problems Pertaining to a Bell Surface

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.

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.

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