increased‚ the acceleration also increases. The acceleration is directly proportional to the sine of the incline angle‚ (. A graph of acceleration versus sin( can be extrapolated to a point where the value of sin( is 1. When sin is 1‚ the angle of the incline is 90°. This is equivalent to free fall. The acceleration during free fall can then be determined from the graph. Galileo was able to measure acceleration only for small angles. You will collect similar data. Can these data be used in
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in tons of silver and t in years from the opening of the mine. Which is an expression for the amount of silver extracted from the mine in the first 5 years of its opening? A. B. C. D. E. 3. Joe Student ’s calculus test grades (G) are changing at the rate of 2 points per month. Which is the expression that says this? A. B. C. D. E. 4. If f is a continuous and differentiable function‚ then
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CHAPTER 4 : FUNCTIONS AND THEIR GRAPHS 4.1 Definition of Function A function from one set X to another set Y is a rule that assigns each element in X to one element in Y. 4.1.1 Notation If f denotes a function from X to Y‚ we write 4.1.2 Domain and range X is known as the domain of f and Y the range of f. (Note that domain and range are sets.) 4.1.3 Object and image If and ‚ then x and y are known respectively as the objects and images of f. We can write ‚ ‚ . We can represent
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Locating Account Information Study Guide Version: 032013 The following are the assessment questions for the PPL Locating Account Information course. It is strongly recommended that you work in the PPL Practice Portal to become comfortable with the content prior to attempting the lesson assessment. PPL Portal Login Use the VA DMAS training portal to answer these questions (http://fmsdev.publicpartnerships.com/STG). Login: liveops Passcode: test123! (Important: Copy and paste the password
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WHAT IS A FLANNEL GRAPH. This teaching tool is called by different names: Visual Board Frick Board Slap Board Felt Board Choreograph Videograph The tool consists of only two Parts - a board covered with flannel and objects having fluzzy and napped backing. The principle involved is the interlooking of fibres of two rough or hairy surfaces‚ so that the pieces pressed on to a background which is hard and vertical will stay. It can be illustrated on a larger scale by pressing two
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Case Study Cost-cutting at Erstaunliche Autos “We aim to boost earnings by €10bn‚” says new chief at Erstaunliche Autos Background Erstaunliche Autos (EA) is a medum-sized German car manufacturer based in Frankfurt. Workers have so far enjoyed a four-day week and high salaries‚ although production costs at EA are 40 per cent higner than similar car manufacturers. In addition‚ fierce international competition‚ including China‚ now poses a serious threat to Germany‚ where one in seven employees
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line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain. The slope of the line represents the speed of the person in feet per hour. This graph is useful because it provides a visual representation of the continuous motion of the person walking‚ something that could not provided by something like a bar graph. In a bar graph‚ the sheer number
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Susan B. Anthony once said‚ "Men‚ their rights‚ and nothing more; women‚ their rights‚ and nothing less." Today‚ there are many female leaders and role models. They have changed this world for the better by finding cures and inventing useful things. What if these women hadn’t had the opportunity to perform these actions? The women’s rights reform was an extremely important topic in the 1800’s. A variety of many feminists fought for women’s rights. In the 1800’s‚ women had little to no rights compared
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Graphs 1‚ 2‚ 3‚ and 4 show the waveforms for the flute‚ violin‚ piano‚ and oboe. The Fourier Series can be used to explain why each of the instruments have their own unique sound. The flute‚ violin‚ piano and oboe have different combinations of frequencies as each waveform is made of an unique combination of sine and cosine waves‚ and this creates distinct waveforms and allows each instrument to have a unique sound. Recall that the formula of the Fourier Series is f(x)=a_0+∑_(k=1)^∞▒(a_k cos〖πkx/T〗+b_k
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Graph theory - the study of graphs and networks‚ is often considered part of combinatorics‚ but has grown large enough and distinct enough‚ with its own kind of problems‚ to be regarded as a subject in its own right.[12] Graphs are one of the prime objects of study in discrete mathematics. They are among the most ubiquitous models of both natural and human-made structures. They can model many types of relations and process dynamics in physical‚ biological and social systems. In computer science‚
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