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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2-Variable Inequality Here is an example of a problem very similar to the one in the Week Three Assignment: Catskills Hammock Company can obtain at most 2000 yards of striped canvas for making its full size and chair size hammocks. A full size hammock requires 10 yards of canvas and the chair size requires 5 yards of canvas. Write an inequality that limits the number of striped hammocks of each type which can be made. (b) First I must define what variables I will be using in my inequality
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Problem Statement: A spiralateral is a sequence of line segments that form a spiral like shape. To draw one you simply choose a starting point‚ and draw a line the number of units that’s first in your sequence. Always draw the first segment towards the top of your paper. Then make a clockwise 90 degree turn and draw a segment that is as long as the second number in your sequence. Continue to complete your sequence. Some spiralaterals end at their starting point where as others have no end‚ this
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Before addressing the prompt‚ I must first define key terms. “Uniformities” are consistencies throughout an area of knowledge‚ something that holds true in one place and must therefore hold true in another. And to assume the existence of said uniformities is to go into the construction of knowledge‚ believing that a phenomenon holding true in one circumstance can be accurately applied to another circumstance. Within the area of knowledge Art‚ the construction of personal knowledge is largely derived
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