Math Problem Statement
Calculate the area, in square units, bounded above by x=sqrt of y +4 and x=-y+6 and bounded below by the x-axis. Give your answer as an improper fraction, if necessary, and do not include units.
Solution
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Math Problem Analysis
Mathematical Concepts
Integration
Area under curves
Intersection of curves
Formulas
Area = ∫ from a to b of [f(y) - g(y)] dy
Quadratic formula: y = [-b ± sqrt(b^2 - 4ac)] / 2a
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 11-12
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