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Applications of Conic Sections
Some examples of conic sections in everyday life lead to a detailed study of two numerical applications of conic sections: parabolic versus ellipsoidal headlight designs in cars, and the hyperbola-shaped path of the sonic boom of an airplane. (10 min...(more details) |
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Applications of Quadratics
Several common applications of quadratic equations are explained through real-world scenarios. Newton's law for describing the path of a projectile is examined, along with some static geometry problems that hinge on quadratics; in addition, a quadra...(more details) |
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Applications of Sine and Cosine Laws
Several oblique triangles are solved by means of the sine and cosine laws, and viewers learn how to select and use the law that will work for each triangle. (10 minutes)(more details) |
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Radian Measure
Angle measure in radians is introduced and defined as the ratio of arc length to radius when a real number line is bent around the unit circle. Graphing the function y = sin x in both degrees and radians reveals the relationship between these two uni...(more details) |
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Sinusoidal Waves
The general equation for sinusoidal waves is developed, and the equations for several functions are obtained from an examination of their graphs. Time is introduced as a unit for the horizontal axis, and two examples of sinusoidal motion over time ar...(more details) |
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