Region
Definition
A specific area within a larger space that can be defined by boundaries such as curves, lines, or inequalities.
Analogy
Think of your school campus as the larger space and different areas within it as regions. For example, the library could be one region, while the cafeteria could be another. Each region has its own distinct characteristics and boundaries.
Related terms
Boundaries: The curves, lines, or inequalities that define the edges of a region.
Area of Region: The measure of space occupied by a particular region.
Intersection of Regions: The overlapping area between two or more regions.
"Region" appears in:
Practice Questions (4)
Consider a region defined by the function f(x) = x^2, revolved around the x-axis from x = 0 to x = 1. What is the volume of the solid formed by this revolution?
Consider a region defined by the functions g(x) = x^3 and h(x) = 2x^3, revolved around the x-axis from x = 0 to x = 2. What is the volume of the resulting solid?
Consider a region defined by the functions f(x) = 2x and h(x) = 3x, revolved around the x-axis from x = 0 to x = 2. What is the volume of the resulting solid?
Consider a region defined by the functions f(x) = x^2 and h(x) = 2x, revolved around the x-axis from x = 0 to x = 3. What is the volume of the resulting solid?
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