Shanise Hawes 04/04/2012 Simple Harmonic Motion Lab Introduction: In this two part lab we sought out to demonstrate simple harmonic motion by observing the behavior of a spring. For the first part we needed to observe the motion or oscillation of a spring in order to find k‚ the spring constant; which is commonly described as how stiff the spring is. Using the equation Fs=-kx or‚ Fs=mg=kx; where Fs is the force of the spring‚ mg represents mass times gravity‚ and kx is the spring constant
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[Type the company name] 10 extrema Types‚ formula usage‚ and applications fzfairy Extrema Definition of an Extrema The extrema of a function f are the values where f is either a maximum or a minimum. More rigorously‚ we have Let f be a function defined on the interval (a‚b) containing the point c. Then * f has minimum at c if f(c) < f(x) for all x in (a‚b). * f has maximum at c if f(c) > f(x) for all x in (a‚b). The following definition gives the types of minimums
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Precalculus Midterm 1 Practice Test Part I: Non Calculator Portion(2/3 of grade) 1. State the domain of each a. fx=3x+4 b. gx=22x2+x. 2. Sketch the graph of each. c. fx=x d. gx=2x+4+3 e. hx=x f. kx=-x-2-4 3. Write the function in vertex form. Then state the vertex. g. fx=x2-6x+17 h. gx=2x2-16x+25 4. Determine the real and complex zeros of the function. i. fx=x3+5x2+x-10 j. gx=x3-9x2+4x-36 5. Perform the
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Table of Contents Definitions of Even & Odd Functions 2 Algebraic Definition 2 Graphic Definition 4 Combining Even & Odd Functions 6 Multiplication 6 Addition 7 Integrals of Even & Odd Functions 7 Fourier Series: Even & Odd Functions 9 Arbitrary Period (2L) 9 Case of Period 2π 10 References 14 Algebraic Definitions 1) Even Function: 2) Odd Function: Algebraically You may be asked to "determine algebraically" whether a function is even or odd. To do
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3.3 Derivatives of Trigonometric Functions Math 1271‚ TA: Amy DeCelles 1. Overview You need to memorize the derivatives of all the trigonometric functions. If you don’t get them straight before we learn integration‚ it will be much harder to remember them correctly. (sin x) = cos x (cos x) = − sin x (tan x) = sec2 x (sec x) = sec x tan x (csc x) = − csc x cot x (cot x) = − csc2 x A couple of useful limits also appear in this section: lim
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Nguyễn Hà Dân – SB0768 MSSV:SB60543Ho Hoa Binh la sieu di ngua‚ Ban gai cu cua Hoang Anh chim lonhahahahahaha Find the two lines that are tangent to y = x2- 2x+1 and pass through the point (5‚7). Call (d) is the equation of the tangent to y = x2- 2x+1‚ pass through the point (5‚7) and have slope k y – y0 = k(x – x0) y – 7 = k(x – 5) y = kx – k5 + 7 we slove system of equations The two lines that are tangent is: y=8x – 47 y=2x – 17 Find limx→1x-1x2+3-2 3. The circumference
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A Honda Civic travels in a straight line along a road. It’s distance x from a stop sign is given as a function of time t by the equation‚ where and. Calculate the velocity of the car for each of the time given: (a) t = 2.00s; (b) t = 4.00s; (c) What will be the time when the acceleration is equal to zero? Solution: By getting the derivative of the distance as a function of time we can get the velocity as a function of time. Substitute the values of α and β
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Laplace Transformation Laplace transformation is a Mathematical tool which can be used to solve several problems in science and engineering. The transformed was first introduced by Pierre-Simon Laplace a French Mathematician‚ in the year 1790 in his work on probability theorem. Application of Laplace Transform The Laplace transform technique is applicable in many fields of science and technology such as: Control Engineering Communication Signal Analysis and Design Image Processing System
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ACC557 Lisa Ortega is the president of Ortega Riding Academy‚ Inc. The company’s primary source of revenue comes from riding fees and lesson fees‚ which are paid on a cash basis. The company also board gorses for owners in which they are billed in turn for their monthly boarding fees. The company has hired a new inexperienced bookkeeper. There were several mistakes made during the general journal entries made by the bookkeeper. The first error was on May 7‚ it should have read debit unearned
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LECTURE 2 CALCULUS INTEGRATION 2.3 INTEGRATION References • • • Barnett‚ Ziegeler and Byleen 2000a‚ Chapters 6 and 7. Chiang and Wainwright‚ Chapter 14. Sydsaeter and Hammond‚ Chapter 9. Antiderivatives and Indefinite Integrals Many operations in mathematics have reverses – compare addition and subtraction‚ multiplication and division‚ and powers and roots. The reverse of differentiation is antidifferentiation. A function F is an antiderivative of a function f if . ‚ ‚ then the functions differ
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