April 17th 9:00-17:00 April 24th 9:00-17:00 Finite Difference Method (FDM) Computational Solution Finding; - Governing (Differential) Equations - Initial & Boundary Conditions Discretization of the Domain Changing Differential Eqs. to Algebraic Eqs. Internal Nodes and Boundary Nodes Solving the system of Algebraic equations Example: Example: A chimney Inside: Convection Ti 300 oC ‚ hi 70 W/m 2 .o C Outside: Convection + Radiation TO 20 oC ‚ hO 21 W/m 2
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have also learnt that a system of algebraic equations can be expressed in the form of matrices. This means‚ a system of linear equations like a1 x + b1 y = c 1 a2 x + b2 y = c 2 ⎡ a b ⎤ ⎡ x ⎤ ⎡c ⎤ can be represented as ⎢ 1 1 ⎥ ⎢ ⎥ = ⎢ 1 ⎥ . Now‚ this ⎣ a2 b2 ⎦ ⎣ y ⎦ ⎣ c2 ⎦ system of equations has a unique solution or not‚ is determined by the number a1 b2 – a2 b1. (Recall that if a1 b1 or‚ a1 b2 – a2 b1 ≠ 0‚ then the system of linear ≠ a2 b2 equations has a unique solution). The number a1 b2 –
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is 80. _____________________________________________________________________________ This paper consists of 6 printed pages including the cover page. [Turn over] Mathematical Formulae 1. ALGEBRA Quadratic Equation For the equation [pic]‚ [pic] Binomial expansion [pic]‚ where n is a positive
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Describe the payout policy of Linear Technologies historically. Describe Linear’s current cash position and its financing needs. The company initiated its dividend in 1993 with a relatively conservative payout ratio of 15%‚ based on a quarterly dividend of $0.05/share/quarter ($0.00625 split adjusted as per Exhibit 3). As of 3Q2003‚ the dividend is also $0.05/share/quarter‚ adjusted for stock splits‚ which translates into a payout ratio of . The payout ratio is currently 27.5% on an as adjusted
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Identify equation modeling a scenario 4 Question 2 – Identify a non-equivalent equation 4 Question 3 – Evaluate equation for a given value in context 5 Question 4 – Identify equation modeling perimeter 6 Question 5 – Determine equation to model a situation 6 Question 6 – Determine equation of a line given a point and the slope 7 Question 7 – Find interval of largest change on graph 8 Question 8 – Find solution to equation 9 Question 9 – Interpret a linear equation
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TO: Board of Directors‚ Linear Technologies FROM: Mr. Paul Coghlan CFO‚ Linear Technologies RE: Dividend Policy Summary: Based on the financials to date and the forward looking capital investments required Linear should increase their dividend payout by $0.01 per share. Entering the fourth quarter of 2003 the market seems to show continued signs of improvement. The company has shown steady growth and revenues are forecasted to exceed 2002’s by 19%. The forecast shows net income coming in
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Linear Programming Tools and Approximation Algorithms for Combinatorial Optimization by David Alexander Griffith Pritchard A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for the degree of Doctor of Philosophy in Combinatorics and Optimization Waterloo‚ Ontario‚ Canada‚ 2009 c David Alexander Griffith Pritchard 2009 I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis‚ including any required final revisions
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Linear Technology Linear Technology is a technology company that focuses on the different elements of semiconductors. The company mostly focuses on analog products within the semiconductor portion of the electronic industry. Linear Technology was unique in their payout policy in the sense that they started with announcing dividends and then continued onto repurchasing. Linear started dividends to gain the respect of investors as well as show that buying shares in the company of Linear was less
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solution‚ x + s stand for the unknown plus standard‚ and Vt the total volume of solution‚ we can write Ax = ε bcxVx / Vt Ax + s = ε b(cxVx + csVs ) / Vt Dividing the first equation by the second and rearranging gives cx = Ax csVs 0.656 × 25.7 ×10.0 = = 21.1 ppm ( Ax + s − Ax )Vx (0.976 − 0.656) × 25.0 14-2. Using the equation developed in problem 14-1‚ we can write cCu 2+ = 0.723 × 2.75 × 1.00 = 2.0497 ppm (0.917 − 0.723) × 5.00 For dilute solutions‚ 1 ppm = 1 mg/L‚ so Percent Cu = 200 mL
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Linear Approaches Linear Approach is also known as the managerial approach because all the models that fall under this approach describe changes from the vision until the implementation stage. It is considered the simplest of all the traditional models in the theories of change. According to Stacey (1996) managing a change under any circumstances whether planned or unplanned is complex with many starts and stops throughout the complete process. This conclusion has been come to under the assumptions
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