Question

Write a quadratic variation equation if g(x) varies directly with x2, and g(x) = 108 when x = 6.

Answer 1

Given g(x) varies directly with x2, and g(x) = 108 when x = 6.
let
=>g(x) = Kx^2
=>108 = K6^2
=>K = 108/6^2 = 3
=>g(x) = 3x^2
then the quadratic equation is g(x)=3x^2

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