Math Problem Statement

Buatlah sketsa peta kontur dari z=akar 81−x^2y^2

Solution

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Math Problem Analysis

Mathematical Concepts

Analytic Geometry
3D Graphing
Surface Equations
Contours

Formulas

z = √(81 - x^2 - y^2)
Equation of a sphere in 3D space: x^2 + y^2 + z^2 = r^2

Theorems

Pythagorean Theorem
Concept of Contour Maps

Suitable Grade Level

Undergraduate level (Calculus and Analytic Geometry)