Math Problem Statement

Find the area A bounded by the curves: x=y^2 -7 and x=8-y^2

Solution

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Math Problem Analysis

Mathematical Concepts

Integral Calculus
Area between curves
Symmetry of functions

Formulas

Area between curves formula: A = ∫ (f(y) - g(y)) dy
Intersection points: y^2 - 7 = 8 - y^2
Simplified integral: A = ∫ (15 - 2y^2) dy

Theorems

Definite integration
Symmetry of even functions

Suitable Grade Level

Grades 11-12 (Pre-Calculus/Calculus)