In general, do not use any derivative rules ( as power rule, etc.). Find the derivative of the following functions at the point "a" by computing average rate of changes for h = ±1, ±0.1, ±0.01, ±0.001, ±0.0001 :

a.) f(x) = x² + x³ , a = 1

b.) f(x) = x ²+ x³ , a = 3

c.)  . f(x) = x − x² , a = 2

Please select one post acute setting and do some research on the patient population, services they provide, LOS, reasoning for patient admission. Then search for one article within the past 2 years regarding your post acute setting and their reimbursement (it can be regarding payment models, fraud and abuse, cost changes etc). Include the link to you article.

The demand functions for two commodities, A and B, are given by QA = AP?0.5Y0.5 and QB = BP?1.5Y1.5 (a) Find the price elasticity of demand for each good and hence comment on the rela- tive sensitivity of demand due to changes in price. (b) Find the income elasticity of demand for each good. Which good is normal and which is superior? Give a reason for your answer.

This week we are focused on health economics in the hospital sector. Hospitals represent the largest segment of healthcare spending. In this discussion we will explore how the dominant healthcare supplier (hospitals) responds to changes in payment by the dominant healthcare payer (Medicare).

What was the hospital sector's response after the enactment of Medicare (in its original form) in 1965? Describe fully. Cite sources.

• ***For years, it has been widely recognized that TV has the potential to be the greatest educational device in history. (This includes not just what is presently considered educational TV but commercial TV as well.) Does the TV industry have any moral obligation to realize that potential? If so, explain the source of that obligation and the kinds of changes in present programming that would be necessary to honor it.

Reflect on your experiences over the past few days and determine at least two instances when you observed conservation of energy and/or the first law of thermodynamics in “action.” Write in complete sentences and be specific. Include what types of energy were involved , any physical or chemical changes observed, any work done, is this an example of an endothermic or exothermic process?

A 800.0mg sample of solid lead(II) iodide (Ksp = 9.8*10^-9) is dissolved in 5.0L of pure water (at 25 C). How much hydroiodic acid, a strong acid, must be added to the solution (in g to two decimal places) to begin precipitating lead(II) iodide out of solution? (ignore volume changes by the addition solutes) A: 2.95g

Social Work

1. Is there a duty of Social Workers to work at the political level to make changes? What are the duties of voters to promote political change to address the promotion of human rights, social justice, economic equality and diversity?

2.  what is the best method to gather many people in a small town to become more educated on issues that minorities struggle with daily?

A sample of ammonia (approximately 0.10 M)(pKb=4.74) is titrated with 0.12 M of Hydrochloric Acid. What indicator changes color closest to the equivalence point?

a. thymol blue (pKIn = 1.65)

b. methyl orange (pKIn = 3.46)

c. methyl red (pKIn = 5.00)

d. bromthymol blue (pKIn = 7.30)

e. phenolphthalein (pKIn = 8.7)