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    Name : Student ID : UNIVERSITI TEKNOLOGI MARA CGE654 TUTORIAL 1 Productivity Index‚ Inflow Performance Relationship and Decline Curves Question 1: The productivity index for a well in an undersaturated reservoir is 2.6 bbl/d/psi. Calculate the drawdown required for a production rate of 800 bbl/d of oil with an average reservoir pressure of 2500psi. Question 2: A reservoir has been producing under stabilized flow condition at 1200 bbl/d with a flowing bottomhole pressure of 1800psi. The average

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    Using a cooling glass of water to determine the area and volume of the curve formed. Research Question: To what extent can a cooling glass of water be modelled accurately and be used to find the area under the curve and volume formed by curve? Data Collection: In order to produce an exponentially decaying graph‚ I had to first heat a glass of water for a certain period of time {150 ml of water}. After the water was heated a temperature probe‚ connected to logger pro and laptop

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    Area and Volume

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    (a) Let A be the area of the region enclosed by the curves of f and g. (i) Find an expression for A. (ii) Calculate the value of A. (6) (b) (i) Find f ′ (x). (ii) Find g′ (x). (4) (c) There are two values of x for which the gradient of f is equal to the gradient of g. Find both these values of x. (4) (Total 14 marks) 4. The graph of f(x) = ‚ for –2 ≤ x ≤ 2‚ is shown below. The region enclosed by the curve of f and the x-axis is rotated 360° about the x-axis. Find

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    solution to their simultaneous equations. Note: When a line meets a curve there will be 0‚ 1‚ or two solutions. 1. Use substitution to solve the simultaneous equations 2. Rearrange them to form a quadratic equation 3. Solve the quadratic by factorising‚ or by using the quadratic formula. 4. Find the y-coordinates by substituting these values into the original equations. Other Graphs (also in Functions): Sketch the curve by finding: 1. Where the graph crosses the y-axis. 2. Where

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    The Koch Snowflake

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    The Koch Snowflake The snowflake model was created in 1904 by Helen von Koch. This snowflake appeared to be one of the earliest fractal curves. The fractal is built by starting with an equilateral triangle. One must remove the inner third of each side and replace it with another equilateral triangle. The process is repeated indefinitely.     The length of each side is one which will help you determine the perimeter of each triangle. With having the perimeter of each triangle‚ the height can be determined so the area can be

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    P.E Movements

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    A movement is a self-contained part of a musical composition or musical form. While individual or selected movements from a composition are sometimes performed separately‚ a performance of the complete work requires all the movements to be performed in succession. A movement is a section‚ "a major structural unit perceived as the result of the coincidence of relatively large numbers of structural phenomena. Classification of Movements From a gymnastic point of view movements are divided into Active

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    LM curve

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    10 Money Market and the LM Curve MACROECONOMICS Macroeconomics Prof. N. Gregory MankiwRudra SensarmaKozhikode Indian Institute of Management www rudrasensarma info www.rudrasensarma.info ® PowerPoint Slides by Ron Cronovich © 2013 Worth Publishers‚ all rights reserved Learning objectives & outcomes • Money Market & the LM Curve – Real Money‚ Real Income & Interest Rate y‚ – Deriving the LM Curve – Monetary Policy & the LM Curve 2 Financial Markets (Money Market) and the LM 

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    Theory of Parabolas

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    Theory of Parabolas By Amergin McDavid A parabola is designed on a basic formula‚ Y=ax^2+bx+c‚ which allows it to achieve a curve not seen in a normal line graphed using a Y=mx+b format. To the left is a graph who’s formula is y=x^2‚ where a=1‚ b=0‚ and c=0. I have isolated the (a) factor to see its effects on the parabola. Below is a graph where I have changed the (a) multiple times. The result is that as the (a) decreases‚ the mouth of the parabola widens due to the fact that (a) is essentially

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    The Giver Essay

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    to hide ugliness Brush and ink. Distorted by emphasising mood and a lot of time removing noses The scream is displaying a terrified man getting trailed yet feeling isolated and separated. Straight lines create depth and distance. Curves create anguish and messiness of life The colours represent the artist’s feelings. Blood red represents feared and anger Blue – cold and sadness Sadness‚ grief‚ loneliness‚ deep depression is all available to be seen in the painting.

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    The Phillips Curve

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    THE PHILLIPS CURVE The short-run relationship between inflation and unemployment is often called the Phillips curve. In 1958‚ economist A. W. Phillips published an article in the British journal Economica that would make him famous. The article was titled “The Relationship between Unemployment and the Rate of Change of Money Wages in the United Kingdom‚ 1861–1957.” In it‚ Phillips showed a negative correlation between the rate of unemployment and the rate of inflation. That is‚ Phillips showed

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