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In the context of 'managing diversity,' the goal is to:
Managing diversity means planning and implementing organizational systems and practices to maximize the potential advantages of diversity while minimizing its potential disadvantages - a balanced, strategic approach recognizing both benefits and challenges.
The displacement of a particle is given by $s = 3t^3 + 7t^2 + 5t + 8$ metres, where $t$ is in seconds. The acceleration at $t = 1\text{ s}$ is:
Velocity: $v = \dfrac{ds}{dt} = 9t^2 + 14t + 5$
Acceleration: $a = \dfrac{dv}{dt} = 18t + 14$
At $t = 1\text{ s}$: $a = 18(1) + 14 = \mathbf{32\text{ m/s}^2}$
A body is projected at such an angle that the horizontal range is three times the maximum height. The angle of projection is:
Range: $R = \dfrac{u^2\sin2\theta}{g}$, Max height: $H = \dfrac{u^2\sin^2\theta}{2g}$
Given $R = 3H$: $\dfrac{\sin2\theta}{1} = 3\cdot\dfrac{\sin^2\theta}{2} \Rightarrow 2\sin\theta\cos\theta = \dfrac{3}{2}\sin^2\theta$
$\Rightarrow \tan\theta = \dfrac{4}{3} \Rightarrow \theta = \tan^{-1}\!\left(\dfrac{4}{3}\right) \approx \mathbf{53Β°}$
Formula for Static (Lung) Compliance:
\[C_{\text{stat}} = \frac{V_T}{P_{\text{plateau}} - \text{PEEP}}\]
\[C_{\text{stat}} = \frac{360}{28 - 8} = \frac{360}{20} = 18 \text{ mL/cmH}_2\text{O}\]
Normal static compliance: \(50 - 100 \text{ mL/cmH}_2\text{O}\)
Interpretation:
- \(> 50\): Normal
- \(30 - 50\): Mildly reduced
- \(< 30\): Severely reduced β consistent with ARDS, pulmonary fibrosis, pulmonary edema
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