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2. A Rankine steam cycle has been proposed to generate work from burning fuel. The temperature of the burning fuel is $1100^\circ C$, and cooling water is available at $30^\circ C$. The steam leaving the boiler is at 20 bar and $700^\circ C$, and the condenser produces a saturated liquid at 0.2 bar. The steam lines are well insulated, the turbine and pump operate irreversibly and adiabatically – the efficiency of pump and turbine are both 0.80. a. What is the net work obtained in the cycle per kilogram of steam generated in the boiler? b. How much heat is discarded in the condenser per kilogram of steam generated in the boiler? c. How much heat is absorbed in the boiler per kilogram of steam generated? d. Calculate the thermal efficiency of this power plant.

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In 1981 if i wanted to use a state-of-the-art personal computer software what would i use ?

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The genomes of bacteria, like E. coli, differ from the genomes of eukaryotes like humans in which of the following way? Bacterial genomes have a single gene associated with each regulatory sequence, while eukaryotic genes are often arranged in operons Bacterial genomes have numerous introns within genes, while eukaryotic genomes do not Bacterial genomes have a higher density of genes, with less space between genes Bacterial genomes have genes that are transcribed from both strands of the DNA molecule, while eukaryotic genomes only transcribe the template strand

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Exercise 1 Spring-mass-damper Find the equations of motion of the system and write them in state-space form, as in Eq. (1.1), assuming the output is the position $y = d$. Result $\dot{x} = \begin{bmatrix} 0 & 1 \ -\frac{k}{m} & -\frac{c}{m} \end{bmatrix} x + \begin{bmatrix} 0 \ \frac{1}{m} \end{bmatrix} f$; $y = \begin{bmatrix} 1 & 0 \end{bmatrix} x$

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Additional Bond data Tax rate 35% Dividend coupon rate face value Maturity Flotation cost Source Debt Preferred Common Totals 7 Additional Preferred Data Flotation cost Additional Common Data Dividend 0 Growth rate Flotation cost Price Units Total Market Value % of Total After-tax Cost After-tax Cost(flotaton) Questions 1. What is the after-tax WACC of the corporation? 2. What is the after-tax WACC after consider flotaiton costs? The existing capital structure of ABC Ltd is as follows: 60,000 ordinary shares 20,000 $100 nominal value 8% preferred shared, and 40,000 $1000 nominal value 6% debentures (bond) The ordinary shares of the firm currently pay a dividend of $4.50 per share, and the dividend growth rate as measured by the past dividend payments is 5%. The current value of the ABC stock is $60. The current value of the debentures is $810 with a maturity of 7 years. The corporate tax rate is 35%. Answers:

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Question 3 Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. $\int_0^9 |8x - 1|dx$

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A golf league has 15 members. Five of the members are scratch (excellent) golfers, six members are intermediate golfers and four are beginning to play. Three of the scratch golfers practice four times a week, five of the intermediate golfers practice four times a week and one of the beginning golfers' practices four times a week. Given this information, answer the following questions in a sentence or two. . Is being a scratch golfer and an intermediate golfer mutually exclusive and collectively exhaustive. Why? Is being a beginning golfer and practicing four times a week an independent event. Why?

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18. Go look at the roundworm, segmented worm, and flatworm specimens. Draw an example of two of these 3 lineages. Describe 2 ways these organisms exhibit unity (i.e. shared traits through ancestry or convergent evolution) and 2 ways these organisms exhibit diversity (i.e. shared derived traits solely found in their respective lineages). Hint: you may have to do some research in your text or online to learn more about their shared ancestral and shared derived characteristics. (1.5 points) Continues Next Page

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Find each of the following in rectangular form x + iy and check your results by computer. Remember to save time by doing as much as you can in your head. 3. $e^{-(i\pi/4)+ln 3}$ 6. $cos(i ln 5)$ 9. $sin(\pi - i ln 3)$ 4. $e^{3 ln 2 - i\pi}$ 7. $tan(i ln 2)$ 10. $sin(i ln i)$ 5. $e^{(i\pi/4)+(ln 2)/2}$ 8. $cos(\pi - 2i ln 3)$ In the following integrals express the sines and cosines in exponential form and then integrate to show that: 11. $\int_{-\pi}^{\pi} cos 2x cos 3x dx = 0$ 12. $\int_{-\pi}^{\pi} cos^2 3x dx = \pi$ 13. $\int_{-\pi}^{\pi} sin 2x sin 3x dx = 0$ 14. $\int_{0}^{2\pi} sin^2 4x dx = \pi$ 15. $\int_{-\pi}^{\pi} sin 2x cos 3x dx = 0$ 16. $\int_{-\pi}^{\pi} sin 3x cos 4x dx = 0$ Evaluate $\int e^{(a+ib)x} dx$ and take real and imaginary parts to show that: 17. $\int e^{ax} cos bx dx = \frac{e^{ax}(a cos bx + b sin bx)}{a^2 + b^2}$ 18. $\int e^{ax} sin bx dx = \frac{e^{ax}(a sin bx - b cos bx)}{a^2 + b^2}$

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Is the following statement correct (true) or incorrect (false)? "A value appearing in a foreign key field of a given table X must exist as a value in primary key field in another table Y" True or False

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anna m.