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ACLS Shockable Rhythm (VF/pVT) Algorithm:
- Defibrillate immediately (biphasic 120β200J; monophasic 360J)
- CPR 2 minutes (high-quality: 100β120 compressions/min, depth \(5-6 \text{ cm}\))
- Check rhythm β if still VF/pVT:
- Epinephrine 1 mg IV/IO every 3β5 minutes
- Defibrillate again
- CPR 2 minutes
- If VF/pVT persists: Amiodarone 300 mg IV (second dose: 150 mg) OR Lidocaine
- Minimize interruptions in CPR (pause \(< 10\) seconds for shocks)
- Treat reversible causes: 5 H's and 5 T's (Hypoxia, Hypovolemia, H\(^+\) acidosis, Hypo/Hyperkalemia, Hypothermia; Tension pneumothorax, Tamponade, Toxins, Thrombosis-PE, Thrombosis-coronary)
- Epinephrine: given after first or second defibrillation attempt, then every 3β5 min
Let $I=\displaystyle\int_a^b(x^4-2x^2)\,dx$. Find the ordered pair $(a,b)$ that minimises $I$.
$x^4-2x^2=x^2(x^2-2)\leq0$ when $|x|\leq\sqrt{2}$ and $\geq0$ outside.
To minimise the integral (make it most negative), integrate over the region where the integrand is most negative β i.e., $[-\sqrt{2},\sqrt{2}]$ where the function is $\leq0$.
Any sub-interval of $[-\sqrt{2},\sqrt{2}]$ gives a more negative (or equal) value, and the widest such interval $[-\sqrt{2},\sqrt{2}]$ gives the minimum.
$(a,b)=(-\sqrt{2},\sqrt{2})$
Pyridine is an example of which class of organic compounds?
Pyridine (Cβ Hβ N) has a nitrogen atom in the ring, making it heterocyclic. Homocyclic have only carbon; alicyclic are non-aromatic cyclic hydrocarbons.
A particle is thrown vertically upward. Its speed at half the maximum height is $10\text{ m/s}$. The maximum height attained is ($g = 10\text{ m/s}^2$):
Let maximum height $= H$. At height $H/2$, velocity $= 10\text{ m/s}$.
Using $v^2 = u^2 - 2g\cdot\dfrac{H}{2}$: $100 = u^2 - gH$
At max height: $0 = u^2 - 2gH \Rightarrow u^2 = 2gH$
Substituting: $100 = 2gH - gH = gH \Rightarrow H = \dfrac{100}{10} = \mathbf{10\text{ m}}$
According to the text, ethics in HRM is described as:
The text explicitly states that ethics is the bedrock of socially responsible behavior. While codes of ethics exist, managerial decisions related to HR are subject to judgment calls, and what is ethical or unethical is often open to debate except in blatant cases.
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