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Home » Integrate both sides: \( \ln|y| = 3x + C \). - Crosslake

Integrate both sides: \( \ln|y| = 3x + C \). - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\[ b^2 - 4ac = (-12)^2 - 4 \times 3 \times 9 = 144 - 108 = 36 \]
\[ x = \frac{12 \pm \sqrt{36}}{6} = \frac{12 \pm 6}{6} \]
\[ x = 3 \quad \text{or} \quad x = 1 \]
A piece of wire is 24 meters long and is bent to form a rectangle with...
Let the width be \( w \) and the length \( 2w \).
The perimeter is given by \( 2(w + 2w) = 6w = 24 \).
\[ w = \frac{24}{6} = 4 \text{ meters} \]
Then, the length \( 2w = 8 \text{ meters} \).
#### 4 meters (width), 8 meters (length)
A ball is thrown upwards with an initial velocity of 20 m/s. How long...

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