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catherine pou

catherine p.

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1. Let L = {b$^m$ u$^h$ b$^k$ l$^n$ e$^f$ where n, h >= 0, f>=1, f= m, and 2n = k} a. Construct a PDA with empty stack that recognizes the strings of L. (20 points) b. Convert the generated empty-stack PDA into a final-state PDA using the approach studied in lectures. (15 points) c. Does the word bubble belong to L? Justify your answer with a sequence of moves of the final-state PDA and explain its indication. (15 points) NOTE: Add the formal description of each one of the above grammars or PDA.

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Macintosh Printing Inc. purchased a $16 comma 00016,000 printing machine twotwo years ago. The company expected this machine to have a sixsix-year life and a salvage value of $5 comma 0005,000. Unfortunately, the company spent $5 comma 0005,000 last year on repairs, and current operating costs are now running at the rate of $7 comma 0007,000 per year. Furthermore, the anticipated salvage value has now been reduced to $2 comma 5002,500 at the end of the printer's remaining useful life. In addition, the company has found that the current machine has a book value of $12 comma 13612,136 and a market value of $8 comma 0008,000 today. Suppose that the company has been offered the opportunity to purchase another printing machine for $16 comma 00016,000. Over its fourfour-year useful life, the machine will reduce labor and raw-materials usage sufficiently to cut operating costs from $7 comma 0007,000 to $6 comma 0006,000. This reduction in costs will allow after-tax profits to rise by $1 comma 0001,000 per year. It is estimated that the new machine can be sold for $5 comma 5005,500 at the end of year 44. If the new machine were purchased, the old machine would be sold to another company rather than be traded in for the new machine. Suppose that the firm will need either machine (old or new) for only fourfour years and that it does not expect a new, superior machine to become available on the market during the required service period. Assuming that the firm's interest rate is 14%, decide whether replacement is justified now.

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Support departments costs are related to production O indirectly. O as part of direct material costs. O as part of direct labor costs. O as part of both direct labor and direct material costs.

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Carbon dioxide and water react to form methane and oxygen, like this: \[ \mathrm{CO}_{2}(\mathrm{~g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{~g}) \rightarrow \mathrm{CH}_{4}(\mathrm{~g})+2 \mathrm{O}_{2}(\mathrm{~g}) \] The reaction is endothermic. Suppose a mixture of \( \mathrm{CO}_{2}, \mathrm{H}_{2} \mathrm{O}, \mathrm{CH}_{4} \) and \( \mathrm{O}_{2} \) has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left. \begin{tabular}{|c|c|c|} \hline perturbation & change in composition & shift in equilibrium \\ \hline The temperature is lowered. & The pressure of \( \mathrm{CO}_{2} \) will \( ? \) & to the right to the left (none) \\ \hline The temperature is raised. & The pressure of \( \mathrm{CH}_{4} \) will ? & to the right to the left (none) \\ \hline \end{tabular}

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The major component of connective tissue, fibers, are characterized by flexibility (but not elasticity) and great tensile strength.

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a wire has a length of and is used to make a circular coil of one turn

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what is the equation of a vertical line passing through point (7,0)

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2. (25 Points) Four thin walled sections, thickness t, are shown in Fig 2. The length along the mid-line of each thin wall is y = 2?r. Each section is subjected to pure torques and all four sections have equal beam lengths L and shear moduli G. Determine which of the following shapes would achieve the highest torsional rigidity by calculating and comparing the torsion constant J for each of them.

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What is the coordination number and charge of the central metal ion in the following figure? Coordination number: 6 Charge of Fe ion: 2+

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5. Discuss advantages and disadvantages of direct and extended addressing 6. Discuss the relative advantages and disadvantages of extended and indexed addressing. 7. What HCS12 addressing mode is best to use when you want to access a number of sequential elements in a data array? a. Immediate b. Direct c. Extended d. Indexed e. None of these

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