Math Problem Statement
Carilah nilai-nilai maksimum dan minimum untuk fungsi f(x,y)=10+x+y pada himpunan 5= {(x,y): x² + y² ≤ 1].
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Optimization
Parametrization
Geometry
Formulas
f(x, y) = 10 + x + y
x² + y² ≤ 1 (Equation of a circle)
Parametric equations: x = cos(θ), y = sin(θ)
Theorems
Critical points in optimization
Parametric representation of a circle
Suitable Grade Level
Grades 11-12 (High School Calculus)
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