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Answer :
Final answer:
Based on the description of her condition, Ms. W.Y's chest pain was typical angina. Her functional class is III, suggesting low aerobic capacity and her lifestyle factors notably obesity and sedentary behavior coupled with controlled issues in her blood pressure and blood sugar levels warrant immediate medical and lifestyle changes, including dietary modifications, cessation of smoking, and introduction of an exercise regimen.
Explanation:
Ms. W.Y's chest pain during her hospitalization can be classified as typical angina. Typical angina, or angina pectoris, is characterized by pain in the mid to upper back, often associated with nausea and worsening with exertion, exactly the symptoms Ms. W.Y experienced. The pain is due to an insufficient supply of blood to the heart muscle, often caused by narrowing of the coronary arteries, a common occurrence in patients suffering from MI (myocardial infarction).
Her functional class is III which means she experiences symptoms of heart disease even with everyday physical activities. This can be determined by the fact that she has shortness of breath carrying a laundry basket up a flight of stairs. Therefore, we can estimate her aerobic capacity to be low, as regular, moderate physical activity causes strain.
Ms. W.Y's Body Mass Index (BMI) can be calculated using the following formula: weight(kg)/height²(m). Given her weight as 84 kg and height as 1.63m, we can calculate her BMI as 31.6. With a waist circumference of 38 inches and BMI above 30, android or upper body obesity is present, which contributes to her diabetes and cardiovascular disease.
The significant rise in her blood pressure is a red flag which warrants notifying her physician prior to conducting exercise testing. This can be a sign of unstable hypertension which requires medical intervention.
Lastly, prevention efforts should be directed towards lifestyle modifications which include smoking cessation, dietary changes to a low calorie, low-fat diet, weight loss, initiation of an exercise regimen under professional supervision and optimal control of blood glucose levels and blood pressure.
To answer the question about reflecting and transmitting waves in an ideal plasma, we will leverage the tenets of wave intensity and propagation, optical constants, and the theory of electromagnetic radiation.
Firstly, since the intensity of a wave is directly linked to the amplitude squared, we can denote the intensity of the incident wave as |A|², reflected wave as |B|², and transmitted wave as |C|². Following the question, we are interested in the square of the ratio of the reflected to incident wave electric amplitude, or |B|²/|A|², denoted as r².
It's important to note that when w>>Wp, the plasma can be treated as a dielectric, and laws of optics apply, notably the Fresnel equations. Now, the reflection coefficient (r²) for a plane electromagnetic wave incident from vacuum on a dielectric (plasma) can be expressed in terms of the refractive index of the plasma. Given that the refractive index is approximately 1 - Wp²/(2w²) for w>>Wp, substituting this into the Fresnel equation simplifies r² to a Taylor series expansion that brings it to the form r² = C w/Wp.
By equating coefficients from both sides we can solve for C = 1/2, hence r² = 1/2 (Wp/w) is the found relationship.
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