Write inequalities for r and θ describing the shaded region.

PICTURE polar ineqs 1

If we take any point in the shaded region, θ must lie between 0 and $\frac{π}{2}$.

PICTURE polar ineqs 2

The appropriate bounds for θ are0≤θ≤ \frac{π}{2}.

Any point in the shaded region must have r between 0 and 1.

PICTURE polar ineqs 3

The appropriate bounds for r are0≤ r ≤ 1.