Question 3 Evaluate the inverse Laplace transform

Question 6 Evaluate the Laplace transform

Feauto Manufacturing Corporation has a traditional costing system in which it applies manufacturing overhead to its products using a predetermined overhead rate based on direct labor-hours (DLHs). The company has two products, I63E and E76I, about which it has provided the following data:   I63E E76I Direct materials per unit $19.90 $54.40 Direct labor per unit $12.00 $31.50 Direct labor-hours per unit 0.80 2.10 Annual production (units) 30,000 10,000   The company’s estimated total manufacturing overhead for the year is $2,063,250 and the company’s estimated total direct labor-hours for the year is 45,000.   The company is considering using a form of activity-based costing to determine its unit product costs for external reports. Data for this proposed activity-based costing system appear below:   Activities and Activity Measures EstimatedOverhead Cost Assembling products (DL hours) $720,000 Preparing batches (batches) $263,250 Product support (product variations) $1,080,000 Total $2,063,250       Expected Activity   I63E E76I Total DL hours 24,000 21,000 45,000 Batches 1,080 675 1,755 Product variations 2,115 1,485 3,600   The manufacturing overhead that would be applied to a unit of product E76I under the activity-based costing system is closest to (PLEASE SHOW YOUR WORK BY USING THE HONORLOCK ON-SCREEN CALCULATOR):

The Figure shows a typical bacterial growth curve with the y-axis indicating the log of the number of bacteria and the x-axis indicating time in culture. In the figure, which sections of the graph illustrate a logarithmic change in cell numbers?

Most bacteria grow best at pH ___________

The Tobler Corporation has budgeted production for next year as follows:     Quarter   First Second Third Fourth Production in units 10,000 12,000 16,000 14,000   Four pounds of raw materials are required for each unit produced. Raw materials on hand at the start of the year total 4,000 pounds. The raw materials inventory at the end of each quarter should equal 10% of the next quarter’s production needs. Budgeted purchases of raw materials in the third quarter would be (PLEASE SHOW YOUR WORK BY USING THE HONORLOCK ON-SCREEN CALCULATOR):

The DNA found in most bacterial cells ____________

Casivant Corporation makes a product that uses a material with the following direct material standards:   Standard quantity 3.8 pounds per unit Standard price $4.00 per pound   The company produced 7,300 units in November using 28,710 pounds of the material. During the month, the company purchased 30,800 pounds of the direct material at a total cost of $117,040. The direct materials price variance for November is (PLEASE SHOW YOUR WORK BY USING THE HONORLOCK ON-SCREEN CALCULATOR):

Question 7 Evaluate the Laplace transforms . This targets the theorem in section 7.4. Please, record your answers in the Canvas Answer box.  

Question 9 Use Laplace transforms to solve the initial-value problem