Lista 10 - Geometria Analitica

UFF IME GGM Disciplinas GGM 127125160 10ª Lista de Exercícios Regiões 1 Faça um esboço detalhado das regiões abaixo a R x3y21 b R x² y² 4 x² y² 9 c R x² 4y² 4x 0 x² 4y² 8x 12 0 y² x 3 0 x 5 d R x² y² 1x² y 1 0 9x² 4y² 36 0 e R x²12 y 1216 x² 0 x 23 f R x² y² 2x 0 x² y² 4x 3 0 x y 0 g R x y x y 1 x 1 h R x 2y 2 x y 1 x² y² 25 y 1 i R x y 1 x² y² 1 x y j R x² y² 2x 4y 1 x 0 k R x² y² 4 x y 2 l R x² y 1² 1 x² y² 1 m R 3x 2y 5 0 2x y 4 0 n R x y 1 o R x² y² 2x 4y 4 0 p R x² y² 1 x 1² y 1² 1 2 y 2 2 Em cada item determine o sistema de inequações que representa cada região colorida Image of a graph with a red shaded polygonal region bounded by x and yaxes and two diagonal lines Image of a graph with a red shaded region inside a circle in the left halfplane bounded by two diagonal lines Image of a graph with a red shaded semicircular region above the xaxis in the left halfplane Image of a graph with a red shaded region inside two intersecting circles Image of a graph with a red shaded crescentshaped region formed by two overlapping circles Image of a graph with a red shaded semicircle in the right halfplane above the xaxis Image of a graph with a red shaded diamondshaped region centered at the origin