The perimeter of this rectangular field is 220 m. One side is x m as shown. Wm xm (a) Express the width (W) in terms of x. (b) Write an expression‚ in terms of x only‚ for the area of the field. (c) If the length (x) is 70 m‚ find the area. Working: Answers: (a) ………………………………………….. (b) ………………………………………….. (c) ………………………………………….. (Total 4 marks) 1 2. The diagram shows the graph of y = x2 – 2x – 8. The graph crosses the x-axis at the point A‚ and has a vertex at B. y A x O B (a) Factorize
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Using a simple pendulum to find the acceleration due to gravity/g Task 1 Aim: To find the acceleration due to gravity/g Objective: To find the relationship between the length of simple pendulum and the period oscillation Hypothesis: The longer the length of the simple pendulum‚ the longer the period of oscillation will take. Variables: a) Independent- the length of the pendulum; b) Dependent- the time it takes for 20 oscillations; c) Control - the mass of pendulum. Task 2 References
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329 Quadratic Equations Chapter-15 Quadratic Equations Important Definitions and Related Concepts 1. Quadratic Equation If p(x) is a quadratic polynomial‚ then p(x) = 0 is called a quadratic equation. The general formula of a quadratic equation is ax 2 + bx + c = 0; where a‚ b‚ c are real numbers and a 0. For example‚ x2 – 6x + 4 = 0 is a quadratic equation. 2. Roots of a Quadratic Equation Let p(x) = 0 be a quadratic equation‚ then the values of x satisfying p(x) = 0 are called its roots or
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Free Fall Methods Investigation Aim I am going to use three different methods in which I will find the value of gravity (g). Then I am going to compare all three methods to see which is the best. The three experiments will be - Pendulum - Spring - Electronic timer Background Research Free fall Is motion with no acceleration other than that provided by gravity‚ and no deceleration other than that caused by the aerodynamic drag of the object (hence the term also applies for moving
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Equations of State (EoS) Equations of State • From molecular considerations‚ identify which intermolecular interactions are significant (including estimating relative strengths of dipole moments‚ polarizability‚ etc.) • Apply simple rules for calculating P‚ v‚ or T ◦ Calculate P‚ v‚ or T from non-ideal equations of state (cubic equations‚ the virial equation‚ compressibility charts‚ and ThermoSolver) ◦ Apply the Rackett equation‚ the thermal expansion coefficient‚ and the isothermal compressibility
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Generation Y is known as the generation that was born in the 1980s and 1990s‚ although experts do not agree on when this era started. The people who create Generation Y are often the children of baby boomers and are therefore called echo boomers or Generation X. Most of them are in their late teens or twenties and totally different from other generations. The most significant difference between generations X and Y are that X kids are often thought of as the "lost" generation raised at a time when
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Physics Equations and Formulas By Steven Holzner Part of the Physics I For Dummies Cheat Sheet Physics is filled with equations and formulas that deal with angular motion‚ Carnot engines‚ fluids‚ forces‚ moments of inertia‚ linear motion‚ simple harmonic motion‚ thermodynamics‚ and work and energy. Here’s a list of some important physics formulas and equations to keep on hand — arranged by topic — so you don’t have to go searching to find them. Angular motion Equations of angular motion are relevant
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BERNOULLI AND ENERGY E Q U AT I O N S his chapter deals with two equations commonly used in fluid mechanics: the Bernoulli equation and the energy equation. The Bernoulli equation is concerned with the conservation of kinetic‚ potential‚ and flow energies of a fluid stream‚ and their conversion to each other in regions of flow where net viscous forces are negligible‚ and where other restrictive conditions apply. The energy equation is a statement of the conservation of energy principle and is applicable
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MATHEMATICAL METHODS PARTIAL DIFFERENTIAL EQUATIONS I YEAR B.Tech By Mr. Y. Prabhaker Reddy Asst. Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam‚ Hyderabad. SYLLABUS OF MATHEMATICAL METHODS (as per JNTU Hyderabad) Name of the Unit Unit-I Solution of Linear systems Unit-II Eigen values and Eigen vectors Name of the Topic Matrices and Linear system of equations: Elementary row transformations – Rank – Echelon form‚ Normal form – Solution of Linear Systems
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purpose of this experiment is to verify the acceleration due to gravity using the picket fence with a photogate‚ LabPro and LoggerPro software by measuring it with a precision of 0.5% or better. Theory: All objects‚ regardless of mass‚ fall with the same acceleration due to gravity assuming that there is no air resistance. Objects thrown upward or downward and those released from rest are falling freely once they are released. Any freely falling object experiences acceleration directed downward
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