28c0c7…: “Near a fine equation”

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Let $f(x) = 5 (x-3)^2 + 7$.

\[ iRoC_f(x) = \answer {10(x-3)} \]

Let $g(t) = 2t^2 - 5t + 1$.

\[ iRoC_g(t) = \answer {4t-5} \]

Let $W(k) = -3 (k-1)^2 + 5$.

\[ iRoC_W(k) = \answer {-6(k-1)} \]

Let $h(y) = -5x^2 + 3x - 3$.

\[ iRoC_h(y) = \answer {-10x + 3} \]

Let $p(n) = \frac {3}{2} (n+4)^2 - 7$.

\[ iRoC_p(n) = \answer {3(n+4)} \]

Let $A(r) = 7r^2 - 4r + 9$.

\[ iRoC_A(r) = \answer {14r-4} \]

2025-05-18 05:15:26