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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© Government of Tamilnadu First Edition-2005 Revised Edition 2007 Author-cum-Chairperson Dr. K. SRINIVASAN Reader in Mathematics Presidency College (Autonomous) Chennai - 600 005. Authors Dr. E. CHANDRASEKARAN Dr. C. SELVARAJ Selection Grade Lecturer in Mathematics Presidency College (Autonomous) Chennai - 600 005 Lecturer in Mathematics L.N. Govt. College‚ Ponneri-601 204 Dr. THOMAS ROSY Senior Lecturer in Mathematics Madras Christian College‚ Chennai - 600 059 Dr
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Factors Affecting Pupils Involvement to MTAP DepEd Saturday Mathematics Program In Partial Fulfillment for the Requirements in Research 1 Submitted by: VINCENT N. SALAZAR District of Alfonso Submitted to: DR. ADELA J. RUIZ Professor in Research 1 Acknowledgements The researcher wishes to extend his sincerest gratitude to the following personalities who share time and efforts to the success of this action research. To
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PROPERTIES OF SINE AND COSINE FUNCTIONS: 1. The sine and cosine functions are both periodic with period 2π. 2. The sine function is odd function since it’s graph is symmetric with respect to the origin‚ while the cosine function is an even function since it’s graph is symmetric with respect to y axis. 3. The sine functions: a. Increasing in the intervals[0‚ π/2]and [3π/2‚ 2π]; and b. Decreasing in the interval [π/2‚ 3π/2]‚over a period of 2 π. 4. The cosine function is: a. Increasing in the interval
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Effect of using mathematics teaching aids in teaching mathematics on the achievement of mathematics students NAME: OGUNSHOLA STEPHEN ADESHINA MATRIC NO : 081004105 SUPERVISOR: MR OPARA CHAPTER ONE: INTRODUCTION 1.1 Background to the Study Mathematics is the foundation of science and technology and the functional role of mathematics to science and technology is multifaceted and multifarious that no area of science‚ technology and business enterprise escapes
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