[Home care situations : discontinuity of trajectories]

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Orthogonal Trajectories01:26

Orthogonal Trajectories

Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
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Limits with Oscillating Discontinuities01:19

Limits with Oscillating Discontinuities

An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the...
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Improper Integrals: Discontinuous Integrands01:28

Improper Integrals: Discontinuous Integrands

Evaluating Areas Under Curves with DiscontinuitiesA definite integral is considered improper when the integrand is discontinuous at one of the limits of integration. This occurs when the function is undefined or becomes infinite at an endpoint, making the corresponding region under the curve unbounded. Such behavior is commonly associated with vertical asymptotes at the boundary of the interval. To properly define and evaluate these integrals, a limiting process is used to determine whether a...
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Interdisciplinary Care: The Health Care Team-I01:21

Interdisciplinary Care: The Health Care Team-I

An interdisciplinary team includes many healthcare professionals working together and utilizing their skills, knowledge, and expertise to provide holistic and quality patient care.
Physicians
The physician's primary responsibility is to diagnose illness and direct the medical or surgical treatment of the condition. The authority to admit patients to a healthcare agency or institution and practice care within that setting is granted to physicians by the healthcare agency or institution...
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Interdisciplinary Care: The Health Care Team-II01:18

Interdisciplinary Care: The Health Care Team-II

An interdisciplinary team includes many healthcare professionals working together and utilizing their skills, knowledge, and expertise to provide holistic and quality patient care. Here are a few more healthcare professionals.
Physical Therapist
A physical therapist (PT) aims to restore function or prevent additional impairment in a patient following an injury or disease. Massage, heat, cold, water, sonar waves, exercises, and electrical stimulation are some treatments used by PTs to treat...
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Continuing Care01:25

Continuing Care

Continuing care describes the variety of health, personal, and social services provided over a prolonged period. The need for continuing care is increasing because people are living longer. Many people do not have families or others to care for them. Continuing care is mainly for patients who are disabled, functionally dependent, or suffering from a terminal disease. It is available within institutional settings or in homes. Examples include nursing centers or facilities, assisted living,...
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