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Which one of the following qualifies as a capital expenditure?
Capital expenditure is spending that improves, extends the life of, or adds value to a long-term asset. Renovating and upgrading a building increases its value and useful life โ this is capital expenditure. The other options are all revenue expenditures: carriage outwards, legal recovery fees, and wage bonuses are period costs that appear on the income statement and do not create lasting assets.
If $\displaystyle\int_0^{\pi/3}\dfrac{\tan\theta}{\sqrt{2k\sec\theta}}\,d\theta = 1-\dfrac{1}{\sqrt{2}}$ for $k>0$, find $k$.
$\displaystyle\int_0^{\pi/3}\dfrac{\tan\theta}{\sqrt{2k}\cdot\sqrt{\sec\theta}}\,d\theta = \dfrac{1}{\sqrt{2k}}\int_0^{\pi/3}\dfrac{\sin\theta}{\cos\theta}\cdot\sqrt{\cos\theta}\,d\theta=\dfrac{1}{\sqrt{2k}}\int_0^{\pi/3}\sin\theta\cdot(\cos\theta)^{-1/2}d\theta$
Let $u=\cos\theta$, $du=-\sin\theta\,d\theta$; limits: $1$ to $1/2$:
$=\dfrac{1}{\sqrt{2k}}\int_1^{1/2}(-u^{-1/2})du=\dfrac{1}{\sqrt{2k}}\left[2\sqrt{u}\right]_1^{1/2}... $ Wait: $\int_1^{1/2}(-u^{-1/2})du=\int_{1/2}^1 u^{-1/2}du=[2\sqrt{u}]_{1/2}^1=2-\sqrt{2}=2(1-1/\sqrt{2})$
$\dfrac{2(1-1/\sqrt{2})}{\sqrt{2k}}=1-\dfrac{1}{\sqrt{2}} \Rightarrow \dfrac{2}{\sqrt{2k}}=1 \Rightarrow \sqrt{2k}=2 \Rightarrow 2k=4 \Rightarrow k=\mathbf{2}$
According to the text, which factor has contributed most significantly to the proliferation and importance of HR functions through extensive record-keeping requirements?
Legislation and litigation have contributed enormously to the proliferation of HR functions. The record-keeping and reporting requirements of laws (equal employment, compensation, safety, labor relations) are so extensive that HR departments must work countless hours and often hire additional staff to comply.
HELLP Syndrome is a severe complication of preeclampsia:
Hemolysis + Elevated Liver enzymes + Low Platelets
| Finding | Diagnostic Criterion | This Patient |
|---|---|---|
| Hemolysis (falling Hb, high LDH) | LDH \(>600\,\text{U/L}\) | LDH 890 โ |
| Elevated liver enzymes | AST/ALT \(>70\,\text{U/L}\) | AST 320 โ |
| Low platelets | \(<100{,}000/\mu\text{L}\) | 78,000 โ |
Management:
- Immediate hospitalization, stabilization
- IV MgSOโ for seizure prophylaxis
- Antihypertensives if BP \(\geq 160/110\,\text{mmHg}\)
- Corticosteroids (dexamethasone) to improve platelet count temporarily
- Delivery is the definitive treatment (regardless of gestational age if \(\geq 34\) weeks)
- Platelet transfusion if \(<50{,}000\) before CS or \(<20{,}000\) with vaginal delivery
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