Upon submission, the student will be asked about their understanding of this assignment. Given Q is a solid in the first octant that is bounded by the sphere z=√(25-x^2-y^2), cone z=√(x^2+y^2) and the plane x ≥ 0, y ≥ 0, and z ≥ 0.Ī) Draw the diagram using mathematical application (GeoGebra etc.)Ĭ) Hence, evaluate ∭Q x z d V using appropriate coordinate system. El programa nos permite manejarnos con comodidad a travs de un entorno grfico que nos permitir realizar todo tipo de funciones y representaciones. Task 4: Triple Integral - Spherical Coordinates GeoGebra es una aplicacin de cdigo abierto diseada especialmente para el aprendizaje y la enseanza de las materias de geometra, lgebra y clculo.

Task 3: Triple Integral - Cylindrical CoordinatesĪ solid region E lies within the cylinder x^2+z^2=1, above the plane y=3 and below the paraboloid y=12-x^2-z^2.Ī) Draw the diagram using mathematical application (GeoGebra etc.) (3m)ī) Draw the projection of diagram using mathematical application (GeoGebra etc.) (3m)Ĭ) Hence, evaluate ∭E x^2 d V using appropriate coordinate system. SOLVED: a) Draw the diagram using mathematical application (GeoGebra etc.)ī) Draw the projection of diagram using mathematical application (GeoGebra etc.) from:Ĭ) Hence, find the volume of the integral from each projection.

For ios instal GeoGebra 3D 6.0.804.0