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law of sines and cosines - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Substitute \( a = 0.04 \) into Equation 1:

📌 \[ 10(0.04) + b = 2 \]

📌 \[ 0.4 + b = 2 \]

📌 \[ b = 1.6 \]

📌 Thus, the coefficients are \( a = 0.04 \), \( b = 1.6 \), and \( c = 2 \).

📌 \(\boxed{a = 0.04, \, b = 1.6, \, c = 2}\)

📌 A mammalogist is studying the diving behavior of a species of dolphin. The depth \( D(t) \) in meters that a dolphin reaches after \( t \) seconds is modeled by \( D(t) = pt^3 + qt^2 + rt + s \). Given \( D(1) = 3 \), \( D(2) = 14 \), \( D(3) = 39 \), and \( D(4) = 84 \), find the coefficients \( p \), \( q \), \( r \), and \( s \).

📌 We are given \( D(t) = pt^3 + qt^2 + rt + s \) with:

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