NAME: ___________________________________ Balloon Powered Race Car Project [pic] Learning Goal: To create a balloon powered racecar for maximum speed and distance‚ that can demonstrate how we can find alternative forms of energy for day to day activities. Part I: Balloon Car due Wednesday‚ September 12th (60%) Materials: balloon (Standard)‚ straw or bendable tubing (small)‚ various materials to construct the racers Rules: • No more than 2 balloons may power the car. It must
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Experimental Errors and Uncertainty Data: The data table that follows shows data taken in a free-fall experiment. Measurements were made of the distance of fall (Y) at each of the four precisely measured times. Time‚ t (s) Dist‚ y1 (m) Dist‚ y2 (m) Dist‚ y3 (m) Dist‚ y4 (m) Dist‚ y5 (m) <y> σ t2 0 0 0 0 0 0 0.5 1.0 1.4 1.1 1.4 1.5 0.75 2.6 3.2 2.8 2.5 3.1 1.0 4.8 4.4 5.1 4.7 4.8 1.25 8.2 7.9 7.5 8.1 7.4 Procedures From the above data perform the following Tasks. Task 1. Complete
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Name: Date: Graded Assignment Lab Report Answer the questions below. When you are finished‚ submit this assignment to your teacher by the due date for full credit. You may type in the answers‚ but you will need to print this lab report to draw the epicenter. In this laboratory experiment‚ you will be working as an amateur seismologist to locate the epicenter of a fictional earthquake. Your task will involve interpreting seismograms from three seismograph stations; determining the difference in
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Homogeneous Coordinates and Matrix Representation Homogeneous Coordinates Homogenous coordinates utilize a mathematical trick to embed three-dimensional coordinates and transformations into a four-dimensional matrix format. As a result‚ inversions or combinations of linear transformations are simplified to inversion or multiplication of the corresponding matrices. Homogenous coordinates also make it possible to define perspective transformations. Homogenous coordinates allow each point
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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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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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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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Calculus in 3D Geometry‚ Vectors‚ and Multivariate Calculus Zbigniew H. Nitecki Tufts University August 19‚ 2012 ii This work is subject to copyright. It may be copied for non-commercial purposes. Preface The present volume is a sequel to my earlier book‚ Calculus Deconstructed: A Second Course in First-Year Calculus‚ published by the Mathematical Association in 2009. I have used versions of this pair of books for severel years in the Honors Calculus course at Tufts‚ a two-semester
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