Questions from General Calculus

Q: Sketch the region in the xy-plane. {(x

Sketch the region in the xy-plane. {(x, y) ||x| < 2

Q: Sketch the region in the xy-plane. {(x

Sketch the region in the xy-plane. {(x. y) ||x| < 3 and |y| < 2}

Q: Sketch the region in the xy-plane. {(x

Sketch the region in the xy-plane. {(x, y) |0 < y < 4 and x < 2}

Q: Sketch the region in the xy-plane. {(x

Sketch the region in the xy-plane. {(x, y) | y > 2x – 1}

Q: Sketch the region in the xy-plane. {(x

Sketch the region in the xy-plane. {(x, y) |1 + x < y < 1 – 2x}

Q: Sketch the region in the xy-plane. {(x

Sketch the region in the xy-plane. {(x, y) | -x < y < 1/2 (x + 3)}

Q: Find an equation of a circle that satisfies the given conditions.

Find an equation of a circle that satisfies the given conditions. Center (3, -1), radius 5

Q: Find an equation of a circle that satisfies the given conditions.

Find an equation of a circle that satisfies the given conditions. Center (-1, 5), passes through (-4, -6)

Q: Find the area of the region that lies inside both curves.

Find the area of the region that lies inside both curves.

Q: Show that the equation represents a circle and find the center and

Show that the equation represents a circle and find the center and radius.