Math Problem Statement
find the area between y=x^2, y=8-2x, y=2x/3+16/3 and the intersections are -2,4 1,6 2,4 find the area from -2 to 2 and up to 6
Solution
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Math Problem Analysis
Mathematical Concepts
Definite Integrals
Area Between Curves
Intersection of Functions
Quadratic Functions
Linear Functions
Formulas
Area between two curves: ∫[a,b] (f(x) - g(x)) dx
Quadratic function: y = ax^2 + bx + c
Linear function: y = mx + b
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 11-12
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