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Home » Film Order of Harry Potter: The Shockwaves That Broke the Harry Potter Universe! - Leaselab

Film Order of Harry Potter: The Shockwaves That Broke the Harry Potter Universe! - Leaselab

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Thus, the value of $ b $ is $\boxed{8}$.

📌 Question: A science educator designs a learning module where a student's engagement score $ E $ is modeled by $ E = \frac{3x + 4}{\sqrt{x} - 2} $. To simplify analysis, the denominator must be rationalized. What is the rationalized form of $ E $?

📌 Solution: To rationalize the denominator of $ \frac{3x + 4}{\sqrt{x} - 2} $, multiply numerator and denominator by the conjugate $ \sqrt{x} + 2 $:

📌 \frac{3x + 4}{\sqrt{x} - 2} \cdot \frac{\sqrt{x} + 2}{\sqrt{x} + 2} = \frac{(3x + 4)(\sqrt{x} + 2)}{(\sqrt{x} - 2)(\sqrt{x} + 2)}

📌 = \frac{(3x + 4)(\sqrt{x} + 2)}{x - 4}

📌 Thus, the rationalized form is:

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So, \( V = \pi \times 3^2 \times 5 = 45\pi \) cubic meters.
The tank is drained at 2 cubic meters per minute.
Time \( t \) to empty the tank is \( \frac{45\pi}{2} \) minutes.
Approximating \( \pi \) as 3.14, \( t \approx \frac{45 \times 3.14}{2}...
#### 70.65
A particle moves along a straight line with its position at time \( t...
Velocity is the derivative of position, \( v(t) = \frac{ds}{dt} \).
So, \( v(t) = \frac{d}{dt}(t^3 - 6t^2 + 9t) = 3t^2 - 12t + 9 \).
At \( t = 4 \), \( v(4) = 3(4)^2 - 12(4) + 9 \).
Calculating gives \( v(4) = 48 - 48 + 9 = 9 \).

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