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101 uses of a quadratic equation Chris Budd
Is the quadratic equation evil? And does anyone care?
Babylonians Counted in Base 60
x x x x Area Area
Quadratic equation Solutions
X = 1.4142135623730950488… A4 Paper
Conic sections Cone Appolonius
Ellipse Parabola Hyperbola All these curves obey quadratic equations
How conic sections caused a revolution
Tycho Brahe Kepler
Galileo Studied how things move and found that they obeyed quadratic equations
Cars do ….... Was the car speeding? Forensic evidence: collision damage, witness statements, skid marks THUD!!
s distance of skid u speed F brake force Quadratic equation links them together Solving the equation gives the speed
Parabola So do rugby balls ….
Sir Isaac Newton Explained the link and also invented the reflecting telescope based on the parabola
Newton discovered differential equations Used to explain almost everything Pendulums Car suspensions Musical instruments Radios and TV
Euler finds the solution Solve the quadratic equation to solve the differential equation And millions of important problems
Quadratic equations take flight Speed Pressure Bernouilli
Chaotic quadratic equations Bee population x evolves every year
a = 2 Population settles down population
a = 3 Boom and bust population
a = 4 Chaos population
Are you still frightened of me?
FINISH COPYING THIS INTO YOUR NOTES
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Section 11.6 – Conic Sections
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EFFICIENCY & EQUILIBRIUM Lecture 1 : Geometry – Nature’s Poetry Wayne Lawton Department of Mathematics National University of Singapore
History of Astronomy. Early Astronomy Astronomy Is science that the universe Greeks 600 B.C. – A.D. 150 Measured distances to the Sun and Moon.
Gravitation and the Waltz of the Planets Kepler, Galileo and Newton.
Sun, Moon, Earth, How do they work together to help life survive? Our Solar System.
Early Astronomy 4/21/ b pgs IN: Draw a diagram showing rotation and revolution. Open a book to pg. 486.
Section 8.1 Conic Basics. Names of Conics Circle Ellipse Parabola Hyperbola.
Introduction to Parabolas SPI Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the.
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Astronomical History Ptolemy expresses geocentric model 127AD
THE UNIVERSE IS FULL OF MAGICAL THINGS PATIENTLY WATING FOR OUR WITS TO GROW SHARPER. - Eden Phillpotts-
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