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julie l-pez

julie l.

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18.40 Calculate the standard emf of the propane fuel cell discussed in Section 18.6 at 25°C, given that ΔG°f for propane is −23.5 kJ/mol.

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The following information pertains to ABC Company: • Manufacturing costs: $2,240,000 • Units manufactured: 32,000 • Price per unit: $110 • Beginning inventory: 1,500 units • Ending inventory: 4,000 units What is the amount of ABC Company's gross margin? Instructions: In the box below, please input your answer without adding $, commas, cents or any other symbol, label or word.

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Answer the following questions: Question (1): a) Consider a three-dimensional flow of an inviscid water on a general sloping bottom, and neglect the surface tension. Let $V$ be a volume element enclosed in a smooth surface $S$ in the fluid. Derive the continuity equation and the momentum equation in the form $\frac{\partial p}{\partial t} + \frac{\partial}{\partial x_j}(\rho u_j) = 0$ $\frac{\partial}{\partial t}(\rho u_i) + \frac{\partial}{\partial x_j}(\rho u_i u_j) + \frac{\partial p}{\partial x_i} = \rho F_i$ and then write them in vector form when $\rho = \text{constant}$, and $F = -gj$. b) Using the definition of vorticity $\omega = \nabla \times u$ to prove that $\frac{\partial \omega}{\partial t} + (u \cdot \nabla)\omega = (\omega \cdot \nabla)u$ Also for $\omega = 0$, i.e when $u = \nabla \phi$, prove that the equations of continuity and momentum reduce to $\nabla^2 \phi = 0$ $\frac{\partial p}{\partial t} + \frac{1}{2}(\nabla \phi)^2 + \frac{p}{\rho} + gy = \text{constant}$ Hint: The following identities may be used $\nabla(A \cdot B) = (A \cdot \nabla)B + (B \cdot \nabla)A + A \times (\nabla \times B) + B \times (\nabla \times A)$ $\nabla \times (A \times B) = A(\nabla \cdot B) - B(\nabla \cdot A) + (B \cdot \nabla)A - (A \cdot \nabla)B$ Construct the Green's functions for the problem $\omega(0) = \omega(1) = 0$

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[2] a) Assuming that Servlets can be implemented cheaply using efficient algorithms for image processing applications instead of using conventional GPUs (Graphic Processing Unit). Further suppose that the hosting server has data partitioning tools for segmenting images, and libraries for analyzing the 'features' of images. Briefly discuss how Servlets could be used to support the task of image processing to achieve near-real-time performance (computationally) by a scientist from his/her laboratory. What assumptions can be made about the underlying network for real-time visualization on the scientist's monitor? Be as much detailed as possible in describing how the server-side will work. Use a diagram to further illustrate. (18 pts)

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3. A particle A of mass 5 kg rests on a smooth horizontal table. Particle A is attached to one end of a light inextensible string which passes over a smooth pulley fixed to the edge of the table. The other end of the string is attached to particle B of mass 4 kg which hangs freely below the pulley 1.4 m above the ground. The system is released from rest with the string taut. Particle A does not reach the pulley before B reaches the ground. (a) Find the tension in the string before B hits the ground. (4) (b) Find the time taken by B to reach the ground. (5)

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b. Photoelectric effect is the emission of electrons when electromagnetic radiations having sufficient frequency incident on certain metal surfaces. The emitted electrons are called photoelectrons and the current they constitute is known as photocurrent. ii. In the photoelectric effect experiment, the electromagnetic (EM) radiations such as visible light, ultraviolet and infrared are illuminated on three different types of metal surfaces which result in photoelectrons to have a constant speed of 525 km/s. Estimate a suitable work function of the metal surfaces and determine the energy of the EM radiations. Show all calculations. [10 marks]

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5 4 P 3 Q O cos(R) = 4/5 O cos(R) = 3/5 O cos(R) = 5/4 O cos(R) = 4/3 QUESTION 11 What is sin(B)? O B/C O B/A O A/C O C/B QUESTION 12 What is tan(B)? O B/C O A/C O B/A O A/B

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LC7 Matlab Root Finding Problem # 1 Use a root finding method to find the positive value of x that satisfies the following expression: x = 1 + 4.25 - \cos(x) Find the answer with as many digits of accuracy as possible. Be sure to assign the value of your answer to the variable x

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Find the positive root accurate to 4 decimal places of the equation $2x^3 - 6x - 1 = 0$ using: a. Bisection Method b. Newton-Raphson Method c. Secant Method

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Read the titles/topics below.Try to determine the author's purpose in writing. ____________1.The crow and the pitcher ____________2.Philippine History books ____________3.News article ____________4.Classified ads ____________5.Dictionary ____________6.Sports Magazine ____________7.The lion and the rat ____________8.Thesis ____________9.Encylopedia ____________10.Billboards

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