Math Problem Statement
Find the mean of f(x) = 3/4(x-1)(3-x) for x = [1,3]
Solution
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Math Problem Analysis
Mathematical Concepts
Integral Calculus
Mean Value of a Function
Polynomial Expansion
Formulas
Mean value of a function: (1/(b-a)) ∫[a,b] f(x) dx
Polynomial expansion: (x-1)(3-x) = -x^2 + 4x - 3
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Undergraduate - First Year
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