Category: Uncategorized

Formula sheet and tables attached at the end of the quiz. 

Find the first three nonzero terms of the power series solution centered at x=0 to the equation:    Recall that the power series expansion for

Find a minimum value for the radius of convergence of a power series solution about x=0 for 

Use the method of power series to determine the recurrence relation for the coefficients of the power series solution to the equation: 

Solve the initial value problem using the method of Laplace transforms. All steps must be shown. No credit will be given if solved with another method. 

Assume that the real interest rate increases, then the long-run price will , and long-run Real GDP will .  Assume that instead taxes decrease, then in the short-run the economy will experience a(n) .

Assume that an economy’s Investment into Capital = 545, Imports = 243, Exports =178, Government Spending = 440 (Assume no taxes).  If autonomous spending is $`value2`, and the marginal propensity to save is `value1`, then what will the Change in Real GDP be from a $`value3` increase in imports be (Include a negative (-) sign if negative, and round your answer to the nearest integer.  

If there is a $500 decrease in imports, then the new break-even level of real GDP will .  If disposable income remains at the old level, then after the decrease in imports it would now result in savings that are .  If the marginal propensity to consumer increases, then the effect of the $500 decrease in imports will (in absolue value). 

Assume that there is an Increase in firms’ cash flow, while simultaneously there is a Decrease in Current Taxes on Consumption.  If the shift/change caused by cash flow Increases is less than the shift/change from Consumption Tax Decreases, then the equilibrium amount of loanable funds and the equilibrium interest rate will .

Suppose that in a closed economy GDP is `Y`, consumption is `C`, transfer payments are `TP`, Government Spending is `G` and the current Budget Deficit is `BD`.  What is the level of private savings? (Provide your answer in trillions and round it to the first decimal.  Ex. If your solution is 6.32 trillion, enter 6.3)