1. Given a two variables function z = f(x, y) = √√√36 - 4x² — y². (i) Determine the domain and range of f. (ii) Sketch the contour of f (level curves of f projected on the xy-plane) for the values of z = 0, z = √11 and z = 6. (iii) Sketch the traces of f for (a) x = 0 and (b) y = 0. (iv) Sketch the surface of f in three dimensions. 2 2
1. Given a two variables function z = f(x, y) = √√√36 - 4x² — y². (i) Determine the domain and range of f. (ii) Sketch the contour of f (level curves of f projected on the xy-plane) for the values of z = 0, z = √11 and z = 6. (iii) Sketch the traces of f for (a) x = 0 and (b) y = 0. (iv) Sketch the surface of f in three dimensions. 2 2
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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