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Home » Back Break? Build Power with These Back Dumbbell Workouts That Actually Work! - Network4

Back Break? Build Power with These Back Dumbbell Workouts That Actually Work! - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📝 Recent Posts

Rationalize the denominator:
\]Question: A weather balloon is modeled as a sphere with radius $ r $...
Solution: The volume of a sphere is given by $ V = \frac{4}{3} \pi r^3...
We are given that $ \frac{dV}{dt} = k \sin \theta $, and $ \theta = 60...
k \cdot \frac{\sqrt{3}}{2} = 4\pi r^2 \frac{dr}{dt}
Solving for $ \frac{dr}{dt} $:
\frac{dr}{dt} = \frac{k \sqrt{3}}{8\pi r^2}
The rate of volume increase is given directly as $ \frac{dV}{dt} = k \...
\frac{dV}{dt} = \frac{k\sqrt{3}}{2}
Thus, the rate of volume increase at $ \theta = 60^\circ $ is $ \boxed...

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