The production possibilities (PP) curve is a graphical medium of highlighting the central problem of ’what to produce’. To decide what to produce and in what quantities‚ it is first necessary to know what is obtainable. The PP curve shows the options that are obtainable‚ or simply the production possibilities. What is obtainable is based on the following assumptions: 1. The resources available are fixed. 2. The technology remains unchanged. 3. The resources are fully employed. 4. The resources
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The Vector equation of a plane To find the vector equation of a plane a point on the plane and two different direction vectors are required. The equation is defined as: where a is the point on the plane and b and c are the vectors. This equation can then be written as: The Cartesian equation of a plane The cartesian equation of the plane is easier to use. The equation is defined as: One of the advantages to writing the equation in cartesian form is that we can easily find the normal
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Buried Treasure MAT 221 Instructor Date Buried Treasure In this essay of Buried Treasure we will use many different ways to attempt to factor down three expressions problems. Our first problem from our reading talks about Ahmed and Vanessa‚ Ahmed has half of a treasure map‚ which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. The other half of the map is in Vanessa possession and her half indicates that to find the treasure‚ one must
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C1 MOCK PAPER 1. Solve the inequality . (3) 2. Find . (4) 3. Find the value of (a) ‚ (b) ‚ (c) . (1) (2) (1) 4. A sequence is defined by ‚ where k is a constant. (a) Write down an expression for a2 in terms of k. (1) (b) Find a3 in terms of k‚ simplifying your answer. (2) Given that a3 = 13‚ (c) find the value of k. (2) 5. (a) Show that eliminating y from the equations 2x + y = 8‚ 3x2 + xy = 1 produces the equation x2 + 8x - 1 =
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Symbol of peace Content Name page no. 1. Introduction 2. Subject 3. Object 4. Design &sculpture- Form (Sarmin Sultana -1020861) Color
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Problem 705 Determine the centroid of the shaded area shown in Fig. P-705‚ which is bounded by the x-axis‚ the line x = a and the parabola y2 = kx. Solution 705 HideClick here to show or hide the solution At (a‚ b) Thus‚ → equation of parabola Differential area Area of parabola by integration Location of centroid from the y-axis (x-intercept of centroid) answer Location of centroid from the x-axis (y-intercept
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Name: ________________________ Class: ___________________ Date: __________ ID: A Study Guide # 1 Numeric Response 1. Find the area of the region bounded by the parabola y = x 2 ‚ the tangent line to this parabola at (1‚ 1)‚ and the x axis. ___________ 2. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y = x 4 ‚ y = 0‚ y = 1; about the line x = 2 __________ 3. Find the average value
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Learning Curve Primer The concept of a Learning Curve is motivated by the observation (in many diverse production environments) that‚ each time the cumulative production doubles‚ the hours required to produce the most recent unit decreases by approximately the same percentage. For example‚ for an 80% learning curve: If cumulative production doubles from 50 to 100‚ then the hours required to produce the 100th unit is 80% of that for the 50th unit. The learning curve formula can be expressed
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Two Variable Inequalities Kristine Heckman MAT 222 Intermediate Algebra Instructor Leah Murray November 4‚ 2013 TWO VARIABLE INEQUALITIES For this assignment‚ I am going to work with two-variable inequalities and demonstrate the practical application of these inequalities. I am going to use a graph that shows the number of TV’s on the left side and the number of refrigerators on the bottom. Of course this would mean that my x axis is the bottom‚ and my y axis on the
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Over the past few years‚ we have witnessed a significant amount of interest in the study of ad-hoc and sensor networks. Unlike cellular networks‚ these networks can use other nodes as relays to deliver data from different sources to destinations. The relaying functionality adds a complex dimension to the performance analysis of multi-hop networks. The additional traffic imposed by relaying diminishes a node’s ability to transmit its own data. The relays could also induce hot spots (or congested areas)
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