Math Problem Statement

find the area of the region: 2x + y^2 = 8, x = y

Solution

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Math Problem Analysis

Mathematical Concepts

Integral Calculus
Area Between Curves
Quadratic Equations

Formulas

Area = ∫[a,b] (f(y) - g(y)) dy
Quadratic equation formula: ax^2 + bx + c = 0

Theorems

Fundamental Theorem of Calculus
Quadratic Formula

Suitable Grade Level

Grades 11-12