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Related Concept Videos

First Derivative Test: Problem Solving01:25

First Derivative Test: Problem Solving

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Imagine an asset price that crashes to a low point, rebounds sharply as bargain-hunters step in, and then gradually declines. Such behavior can be modeled with a smooth function whose turning points represent locally overvalued and undervalued regions. A convenient example that captures rebound followed by decay is:The high and low points of this curve are identified using the first derivative test, which determines where the function changes from increasing to decreasing or vice versa. To...
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Rates of Change01:20

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The rate of change is a central concept in mathematics that quantifies how one variable varies in response to another. It serves as a foundational tool in modeling dynamic systems across disciplines such as physics, biology, economics, and engineering. Understanding both average and instantaneous rates of change enables the analysis of behavior in functions that describe real-world phenomena.Average Rate of ChangeFor a function f(x) defined over an interval [x1,x2], the average rate of change...
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The movement of a car along a highway can be examined through key principles of calculus and kinematics. As the car travels, its position varies over time and can be represented mathematically as a function of time. Analyzing the rate of these changes enables the measurement of velocity and acceleration, fundamental aspects of motion analysis.Velocity describes how position changes over time. The average velocity during a specific time interval is calculated by dividing the change in position...
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Related Rates01:18

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When two or more physical quantities are linked by a single relationship, a change in one variable necessarily affects the others. This interdependence forms the basis of related rates analysis, which examines how different quantities change with respect to time. A classic physical example is an expanding balloon, where the size of the balloon changes continuously as air is added.For a hot air balloon, the inflated envelope is commonly idealized as a perfect sphere to simplify mathematical...
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The Integrated Rate Law: The Dependence of Concentration on Time02:39

The Integrated Rate Law: The Dependence of Concentration on Time

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While the differential rate law relates the rate and concentrations of reactants, a second form of rate law called the integrated rate law relates concentrations of reactants and time. Integrated rate laws can be used to determine the amount of reactant or product present after a period of time or to estimate the time required for a reaction to proceed to a certain extent. For example, an integrated rate law helps determine the length of time a radioactive material must be stored for its...
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Calculus offers essential techniques for businesses seeking to optimize pricing strategies and revenue. In this case, a bakery wants to determine the ideal price and daily sales volume to maximize revenue. By modeling how changes in price affect demand and revenue, the bakery can apply calculus to make data-driven decisions.The demand function relates the price per cupcake to the number of cupcakes sold and captures how lower prices increase sales. Based on market data, the demand function can...
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It's the Prices, Advanced Capitalism, and the Need for Rate Setting - Stupid.

David M Frankford1

  • 1David M. Frankford, J.D., is a Professor at Rutgers Law School; Professor at the Rutgers Institute for Health, Health Care Policy and Aging Research; and the faculty director at Camden of the Rutgers Center for State Health Policy. He has received his Bachelor of Arts degree in political science from Tufts University (Medford, MA) and also a Juris Doctor degree from the University of Chicago School of Law (Chicago, IL).

The Journal of Law, Medicine & Ethics : a Journal of the American Society of Law, Medicine & Ethics
|June 30, 2017
PubMed
Summary

Competition fails to control rising healthcare costs because it shifts responsibility to profit-driven institutions. The United States needs state rate setting to consolidate purchasing power and manage expenditures effectively.

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Area of Science:

  • Health economics
  • Public health policy
  • Healthcare systems analysis

Background:

  • Healthcare expenditures in the United States are rising unsustainably.
  • Market-based competition has been proposed as a solution but has proven ineffective.
  • The current system allows for demand generation by healthcare institutions.

Purpose of the Study:

  • To analyze why competition fails to control healthcare costs.
  • To propose an alternative policy for managing healthcare expenditures.
  • To advocate for state rate setting as a viable solution.

Main Methods:

  • Analysis of healthcare market dynamics and institutional incentives.
  • Economic evaluation of competition versus centralized purchasing power.
  • Policy analysis of state rate-setting mechanisms.

Main Results:

  • Competition diffuses accountability for rising costs.
  • Healthcare institutions, driven by advanced capitalism, excel at generating demand for services.
  • Concentrated purchasing power, unlike diffuse competition, can effectively counter cost escalation.

Conclusions:

  • Competition is an inadequate strategy for controlling healthcare expenditures.
  • State rate setting offers a mechanism to concentrate purchasing power.
  • Implementing state rate setting is recommended for the United States to manage healthcare costs.