HADNOUT E.13 - EXAMPLES ON TRANSFER FUNCTIONS‚ POLES AND ZEROS Example 1 Determine the transfer function of the mass-spring-damper system. The governing differential equation of a mass-spring-damper system is given by m x + c x + kx = F . Taking the Laplace transforms of the above equation (assuming zero initial conditions)‚ we have ms 2 X ( s ) + csX ( s ) + kX ( s ) = F ( s )‚ X ( s) 1 ⇒ = . 2 F ( s ) ms + cs + k Equation (1) represents the transfer function of the mass-spring-damper system. Example
Premium Control theory Feedback
6-1 Inverse Trig Functions p. 468: 1-31 odd I. Inverse Trig Functions A. [pic] B. [pic] C. [pic] Find the exact value of each expression 1. [pic] 2. [pic] 3. [pic] 4. [pic] 5. [pic] 6. [pic] Use a calculator to find each value. 7. [pic] 8. [pic] 9. [pic] Find the exact value of each expression. 10. [pic] 11. [pic] 12. [pic] 6-2 Inverse Trig Functions Continued p. 474:1-41
Premium
Student Activity A Generic Function Use the generic graph of f(x) with domain [–6‚ –3] and [–2‚ 6] to answer the questions below. 7 Y 6 5 4 3 2 1 X -7 -6 -5 -4 -3 -2 -1 0 -1 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 -7 1. What is the range of f(x)? 2. What is the domain? 3. On what intervals is f(x) decreasing? 4. On what intervals will the following statements be true? a) As x increases‚ y increases. b) As x increases
Premium Derivative Maxima and minima
AP Calculus Name ____________________________ Period _____ Functions Defined by Integrals The graph below is‚ the derivative of. The graph consists of two semicircles and one line segment. Horizontal tangents are located at and and a vertical tangent is located at. 1. On what interval is increasing? Justify your answer. 2. For what values of x does have a relative minimum? Justify. 3. On what intervals is concave up? Justify 4. For what values of x is undefined? 5. Identify
Premium Derivative Calculus
CENTRAL LUZON STATE UNIVERSITY SCIENCE CITY OF MUNOZ COLLEGE OF ARTS AND SCIENCE DEPARTMENT OF PSYCHOLOGY (MATURATION VS. EXPERIENCE) (CONTINUITY VS. DISCINTINUITY) (STABILITY VS. CHANGE) MATURATION VERSUS EXPERIENCE DEVELOPMENT MATURATION the emergence of personal and behavioral characteristics through growth process. EXPERIENCE knowledge of or skill of something or some event gained through involvement in or exposure to that thing or event
Premium Human development Experience Change
trigonometric functions: sin (x)‚ cos (x)‚ tan(x)‚ cot (x)‚ sec (x) and csc (x) include the domain‚ range‚ period‚ asymptotes and amplitudes. The domain of a cosine and sine function is all real numbers and the range is -1 to 1. The period is 2π‚ and the amplitude is 1. They have no asymptotes. The domain of tangent is all real numbers except for π2+kπ. The range is all real numbers and the period is π. Tan has no amplitude and has asymptotes when x= π2+kπ. The domain of a secant function is all real
Premium
Form Helps Function Vs. Form Follows Function. Ever since the phrase ‘form follows function’ was coined in 1896 and more so since the creation of the Bauhaus‚ it has been believed by many that the less is more approach is the best way to go about design. That‚ if you make a product to do its sole purpose‚ with no bells and whistles and just the bare bones of design‚ that that is good design. Now I am not saying that this is wrong or that it is a bad thing‚ that style of design has its own merits
Premium Form follows function Design Golf
Last year the opinion post by the ombudsman of the Washington Post about the Post being ‘pro-gay’ have raised many voices. In his writing he has discussed and talked by the evidence of an email conversation between a reader‚ the ombudsman; Patrick and a reporter of the Post. The reader claims that the Post only caters to a special class of the Washington and wants appreciation from them. The main issue the reader had was that the Post is very much Pro-gay and gives a lot of exposure to the gay couples
Premium Conservatism The Washington Post Talk radio
In my belief Ombudsman is the perfect school for myself‚ my time here has been meticulous and well spent. The online curriculum and short schedules have helped with making this school better fit for me. The direct instruction math classes have helped me learn easier. Furthermore the minuscule campus has helped me feel more comfortable. The online curriculum that this school provides‚ has made this school feel better‚fit for me because it’s easier to learn and you get‚the more time you need on
Premium Education Learning School
CIRCULAR FUNCTIONS AND TRIGONOMETRY CONTENTS -Angles and Their Measures -Degrees and Radians -Angles in Standard Position and Coterminal Angles -Angles in a Quadrant -The Unit Circle -Coordinates of Points on the Unit Circle -The Sine and Cosine Function -Values of Sine and Cosine Functions -Graphs of Sine and Cosine Functions -The Tangent Function -Graph of Tangent Function -Trigonometric Identities -Sum and Difference of Formulas for Sine and Cosine -Trigonometric Functions of an
Premium