Taking a gas to be ideal and confined to a rigid metal box, find an expression for how quickly the mean free path of said gas changes if the temperature is dropping cubically with time (​T​=​T​0- At^3) If the initial pressure of the gas is 105 Pa, the intermolecular radius is 2 Ångström, and the initial temperature is 325 K and drops 1 K in the first second, what is the rate of change of the mean free path with respect to time after 6 seconds?

People are revolting against the work culture at Amazon regarding the pay and work-life balance. Do you think that the organizations need certain changes to overcome it as workers are protesting for unions to safeguard their interest

Rational Do you need a new organisation structure?

Do you need new systems?

Will you need new processes?

Non-rational

What relationships will change?

Will the culture embrace or reject this change?

How will the stakeholders share information and transfer knowledge?

1. What is the space of analysis of the multiplier model? What is the significance of the 45 degree line in the Aggregate Production curve? Draw an aggregate production curve.

3. What is the slope of the Aggregate Expenditure function? What is its significance?

4. Show equilibrium in the Keynesian multiplier model. Identity the stability of equilibrium using the notion of unintended inventory changes.

5. Write the formula for the multiplier and identify the algebraic condition of the change in aggregate expenditure with respect to the change in real income.

An investment with an initial deposit of $12,993 is growing at an interest rate of 3.22% compounded quarterly. Round all answers to two decimal places if necessary.

1. Find the accumulated amount of the investment at the end of 3 years.

2. The interest rate changes to 4.85% compounded monthly after the first 3 years. Calculate the accumulated amount in this investment at the end of year 6.

3. Find the total amount of interest accumulated during the entire 6 years of the investment.

An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a battery that applies a voltage V₀ between plates. With the battery left connected, the plates are moved apart to a distance of 10d. Determine by what factor each of the following quantities changes: (a) V₀; (b) C; (c) E; (d) D; (e) Q; (f ) ρ_S; (g) WE. Repeat the exercise for the case in which the battery is disconnected before the plates are separated.

Suppose the incidence rate of myocardial infarction (MI) was 10 per 1000 among 45- to 54-year-old men in 1990. To look at changes in incidence over time, 3000 men in this age group were followed for 1 year starting in 2000. 40 new cases of MI were found. Using both rejection region and p-value approach with α = .05, test the hypothesis that incidence rates of MI changed from 1990 to 2000.

Suppose a closed economy has a consumption-output ratio of 0.8. Total output is 1 Billion in 2018 and the capital stock equals 5 Billion. It's depreciation rate and population growth rate are both equal to 2%. What is true in 2019?

income will have grown

consumption will take an even larger share of output

we do not have enough information to calculate changes from 2018 to 2019

the capital stock must be smaller than in 2018

Suppose that people realize that they must save a larger proportion of their income in order to retire, and they simultaneously begin to use new technology that allows them to reduce their holdings of real cash balances as a proportion of their income. Giving reasons, clearly explain the combined impact of these two changes in household behaviour on equilibrium output and interest rates in a closed economy using the IS–LM analysis. You may need to draw a diagram to determine the impact. However, do not provide a diagram with the answer.

there has been numerous studies presented on dendrites and dendritic spines, because of their essential roles within a functional neurocircuit.  First, describe and explain how dendrites and dendritic spines play a significant role in neurocognitive processing on a circuit level.  Second, discuss in detail how dendrites and spines can reflect alterations of brain state in the following topics: (answer all of them)

a) During hormonal changes

b) During learning/memory

c) Social deprivation

Imagine you are a tetrapod ancestor about to leave the freshwater pond you’ve always inhabited and invade land. Consider the ventilatory and osmoregulatory challenges you have to face when you switch from a water environment to a terrestrial environment. How can you acclimate to the new habitat to succeed during your own lifetime? What adaptive changes does your species need to make in order to dominate various terrestrial environments for millions of years to come?