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Home » Set derivative to zero: $-0.03 \sin(0.1\pi t) + 0.1\pi \cos(0.1\pi t) = 0$. - go-checkin.com

Set derivative to zero: $-0.03 \sin(0.1\pi t) + 0.1\pi \cos(0.1\pi t) = 0$. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Recheck: perhaps how much refers to theoretical minimum storage required if demand must be met without generation — then 230.4 kWh must be stored. But the question says additional kWh must be imported — but importing means bringing in from outside, but in a closed system, importing implies external supply — but Mars is self-sustaining.

📌 Better interpretation: the colony has a battery system. During storm, solar produces 0, but they need to draw from storage. How much must be stored to cover 9 days?

📌 But only 230.4 kWh needed — so if storage is sufficient, no import. But if not, need to import. But no initial storage specified.

📌 But the generator produces energy to recharge. So over 9 days, 3150 kWh generated. Demand = 230.4 kWh. So surplus of 2919.6 kWh — not deficit.

📌 So no additional kWh must be imported — in fact, surplus. But the question likely intends: what is the total energy deficit during storm? None.

📌 But perhaps the additional is misleading. Or perhaps it’s asking: how much extra energy would have been needed beyond current plans — none.

📌 Given confusion, perhaps the intended meaning is: how much energy is required during the storm, and since no generation, but they rely on stored energy — but stored is zero? Not stated.

📌 Alternative: maybe additional is not literal — but the structure: how much X must be imported when no solar. But without initial storage, import = 230.4 kWh needed. But the question says additional — possibly error.

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