Determining g on an Incline During the early part of the seventeenth century‚ Galileo experimentally examined the concept of acceleration. One of his goals was to learn more about freely falling objects. Unfortunately‚ his timing devices were not precise enough to allow him to study free fall directly. Therefore‚ he decided to limit the acceleration by using fluids‚ inclined planes‚ and pendulums. In this lab exercise‚ you will see how the acceleration of a rolling ball or cart depends on the ramp
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Previous exam questions on area between functions and volumes of solids. 1. Let f(x) = cos(x2) and g(x) = ex‚ for –1.5 ≤ x ≤ 0.5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0‚ 13). (a) Show that A =10. (2) (b) Given that f(15) = 3.49 (correct to 3 significant figures)‚ find the value of k. (3) (c) (i) Using your value of k‚ find f′(x). (ii) Hence
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YOUR NAME:_______________________________ YOUR TAs NAME:___________________________ YOUR DISCUSSION #_____________ THE GEORGE WASHINGTON UNIVERSITY Department of Economics Economics 011 Section 14 Prof. Steve Suranovic Fall 2012 Problem Set #2 – Answers Answer all of the following questions from the book and those below. HW #2 is due in class on Wednesday Feb 22nd . A. Questions from Text and Readings R&T Chapter 2-5 (online)‚ Chapter 2.4 Review and Practice (in printed textbook);
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When was the last time you considered the odds of your life panning out in the exact way that it has? Most of the time‚ the role of chance in our lives goes completely unnoticed‚ even as it shapes every aspect of our lives and our world. People are hardwired to assign blame or credit to one particular person or event that we think “caused” something to happen. In reality‚ causation is not a straight line‚ leading from one cause to one effect to one aftereffect. It’s more like a huge spider web‚ with
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Running Header: TWO-VARIABLE 1 Running header should use a shortened version of the title if the title is long. Page number is located at right margin. (full title; centered horizontally & vertically) Two-Variable Inequalities John Q. Student MAT 222 Week 2 Assignment Instructor’s Name Date Running Header: TWO-VARIABLE 2 Two-Variable Inequalities (title required on first line) Continuing last week’s topic of functions and relationships between variables‚ this week’s work
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Cynthia Johnson Period 3 Experiment 11: Electron Probability I. Statement of Purpose: We determined the hit probability of a dart by throwing it onto a fixed target one hundred times. IV. Data* *Attached V. Results and Questions 1. (a) *Graph (b) The probability that the dart will hit in ring four is 16 out of 100. A dart will be most likely to hit the bulls-eye about 5 cm from it. (c) Our graph has a spike in hits on the ring
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Methods of Projection I. Arithmetic Straight Line Yc = a + Yi – 1 Where: Yc = initial Value (1st year) Yn = Final Value (last year) N = number of years Yi = value for the year past a = Yn - Yc N – 1 = 5975147 – 5413182 5 – 1 = 140‚ 491.25 Historical Values | |Y |a |Yi – 1
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Paper Reference(s) 6663 Edexcel GCE Core Mathematics C1 Advanced Subsidiary Monday 10 January 2005 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical Formulae (Green) Items included with question papers Nil Calculators may NOT be used in this examination. Instructions to Candidates In the boxes on the answer book‚ write the name of the examining body (Edexcel)‚ your centre number‚ candidate number‚ the unit title (Core Mathematics C1)‚ the paper
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SAVE A TREE – PLEASE DO NOT PRINT ME IB Math Studies – Chapter 16 and 17 – Exponential Functions – Review Questions 1.The diagrams below are sketches of some of the following functions. (i)y = ax(ii)y = x2 – a (iii)y = a – x2 (iv)y = a – x(v)y = x – a Complete the table to match each sketch to the correct function. Sketch Function (a) (b) (c) (d) Working: (Total 8 marks) 2.The following diagrams show the graphs of five functions. Each of the following sets represents the range of
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This paperwork includes MATH 209 Week 1 Individual Textbook Solutions Mathematics - Algebra MTH133 Unit 4– Individual Project – A 1. Use the graph of f(x)= x^2 to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left). Graph of ^2 Choose from the following functions: g(x) = (x – 2)^2‚ h(x) = x^2 – 2‚ i(x) = (x + 3)^2‚ j(x) = (x + 1)^2 + 3 a) graph b) graph c) graph
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