Consider the one-way wave equation ut + uz = 0 on the interval (-1,3) and for t> 0 with the following two sets of initial conditions: 1- if |2 <1, u(2,0) = (5) otherwise, and u(1,0) = e-52. (6) (a) Use the forward-time forward-space me: ,n+1 +-u + 0, k h with right-point boundary condition unti where IM = 3 to compute an approx- imation to the solution at several (up to 40) time steps. Use h = 0.02 and 1 = k/h = 0.8. Demonstrate numerically (plot the solution) the instability of the scheme and show that the instability appears sooner with the less smooth initial data.
(b) Comment on the localization of the onset of instability for initial data (5) and give an estimate of the expected growth rate of the instability per time step.
(c) Using the left boundary condition u(-1) = 0, write a stable scheme and compute the corresponding approximation for data sets (5) and (6). Plot the approximations at representative time steps. Use again h = 0.02 and 1 = k/h=0.8. =

Exercise 8-6 goods in transit [lo8-2] the kwok company's inventory balance on december 31, 2016, was $190,000 (based on a 12/31/16 physical count) before considering the following transactions: 1. goods shipped to kwok f. o.b. destination on december 20, 2016, were received on january 4, 2017. the invoice cost was $35,000. 2. goods shipped to kwok f. o.b. shipping point on december 28, 2016, were received on january 5, 2017. the invoice cost was $22,000. 3. goods shipped from kwok to a customer f. o.b. destination on december 27, 2016, were received by the customer on january 3, 2017. the sales price was $45,000 and the merchandise cost $27,000. 4. goods shipped from kwok to a customer f. o.b. destination on december 26, 2016, were received by the customer on december 30, 2016. the sales price was $25,000 and the merchandise cost $18,000. 5. goods shipped from kwok to a customer f. o.b. shipping point on december 28, 2016, were received by the customer on january 4, 2017. the sales price was $30,000 and the merchandise cost $17,000. required: determine the correct inventory amount to be reported in kwok's 2016 balance sheet.

Bridgeport company began operations at the beginning of 2018. the following information pertains to this company. 1. pretax financial income for 2018 is $115,000. 2. the tax rate enacted for 2018 and future years is 40%. 3. differences between the 2018 income statement and tax return are listed below: (a) warranty expense accrued for financial reporting purposes amounts to $7,500. warranty deductions per the tax return amount to $2,200. (b) gross profit on construction contracts using the percentage-of-completion method per books amounts to $94,700. gross profit on construction contracts for tax purposes amounts to $67,100. (c) depreciation of property, plant, and equipment for financial reporting purposes amounts to $61,800. depreciation of these assets amounts to $75,700 for the tax return. (d) a $3,600 fine paid for violation of pollution laws was deducted in computing pretax financial income. (e) interest revenue recognized on an investment in tax-exempt municipal bonds amounts to $1,500. 4. taxable income is expected for the next few years. (assume (a) is short-term in nature; assume (b) and (c) are long-term in nature.) (a) prepare the reconciliation schedule for 2017 and future years. (b) prepare the journal entry to record income tax expense for 2017. (c) prepare the income tax expense section of the income statement beginning with “income before income taxes.” (d) determine how the deferred taxes will appear on the balance sheet at the end of 2017.

What two things do you consider when evaluating the time value of money