Since $\log 2 \approx 0.693$ and $\sin 0=0$, we have $f(0)=\log 2 > 0$.

Near $x=0$: $f(x)=\log 2-\sin x$ (since $\log 2>\sin x$ locally). So $f$ is smooth near $x=0$.

$g(x) = f(f(x)) = |\log 2 - \sin(f(x))|$. At $x=0$: $f(0)=\log 2$, so $\sin(f(0))=\sin(\log 2)$. Since $\log 2 < 1 < \pi$, $\sin(\log 2)>0$.

$g(0) = \log 2 - \sin(\log 2) > 0$, so near $x=0$, $g(x)=\log 2 - \sin(f(x))$.

$g'(0)=-\cos(f(0))\cdot f'(0)=-\cos(\log 2)\cdot(-\cos 0)=\cos(\log 2)$

A control account acts as an independent check on the arithmetical accuracy of the subsidiary ledger. It verifies that the total of individual customer balances matches the total recorded in the general ledger.

Retention focuses on preventing undesirable detachments of talented and motivated workers. The goal isn't zero turnover (some turnover is healthy), but rather keeping high-value employees who contribute significantly to organizational success.

1. Defibrillate immediately (biphasic 120–200J; monophasic 360J)
2. CPR 2 minutes (high-quality: 100–120 compressions/min, depth \(5-6 \text{ cm}\))
3. Check rhythm — if still VF/pVT:
4. Epinephrine 1 mg IV/IO every 3–5 minutes
5. Defibrillate again
6. CPR 2 minutes
7. 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 3–5 min

The key signal here is the word strange/puzzling at the start — this sets up a contrast. If her writing is commonly thought to be tortuous (meaning twisting, overly complex, hard to follow), then the blank must introduce a word that contradicts that reputation.

• Painstaking — means thorough and careful; does not contradict the notion of being tortuous.
• Tedious — means boring and slow; actually reinforces the idea of difficult writing.
• Insightful — means perceptive; does not directly contrast with being hard to follow.
• Clear — directly contradicts the notion of tortuous (convoluted) writing. If her essays are extremely clear, it is indeed strange that she has a reputation for complexity.

Correct Answer: D — Clear. The sentence uses “although” to signal contrast, and the framing word “strange” confirms we need the opposite of tortuous.

The two chords divide the circle into four regions. Let the two shaded regions have equal area $S$ each, so total shaded area $= 2S$.

Total circle area $= 2S + \text{(unshaded A)} + \text{(unshaded B)}$.

By the symmetry of the two intersecting chords and the equal shaded areas, the two unshaded regions must also be equal to each other. Therefore the area of unshaded region $A$ equals the area of unshaded region $B$, and the two quantities are equal.