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$\1,3,4\, \2\$ - Network4

📅 May 17, 2026 👤 scraface

May 17, 2026

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R'(t) = rac{d}{dt}(3t^3 - 5t^2 + 2t + 10) = 9t^2 - 10t + 2.
Next, we find the critical points by setting \( R'(t) = 0 \):
9t^2 - 10t + 2 = 0.
Using the quadratic formula \( t = rac{-b \pm \sqrt{b^2 - 4ac}}{2a} \...
t = rac{10 \pm \sqrt{(-10)^2 - 4 \cdot 9 \cdot 2}}{2 \cdot 9} = rac{...
Simplifying further:
t = rac{10 \pm 2\sqrt{7}}{18} = rac{5 \pm \sqrt{7}}{9}.
To determine which critical point maximizes the growth rate, we evalua...
R''(t) = rac{d}{dt}(9t^2 - 10t + 2) = 18t - 10.
Calculate \( R''(t) \) at each critical point:

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