# Questions & Answers

Contents

- Determine whether the planes are parallel, perpendicular, or neither. If the planes are neither parallel nor perpendicular, find the angle between them.
- Where is the greatest integer function f(x)= ⌊x⌋ not differentiable? Find a formula for f’ and sketch its graph.
- Find the centroid of the region in the first quadrant bounded by the given curves y=x^3 and x=y^3
- Find the length and width of a rectangle that has the given area and a minimum perimeter.
- If a and b are mutually exclusive events with p(a) = 0.3 and p(b) = 0.5, then p(a ∩ b) =