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Unformatted text preview: e a + bi = e a (cos b + i sin t ) prove the identities cosh t = cos it sinh t = − i sin it. 7. (a) A wheel of radius 1 in the plane, rotating counterclockwise with angular velocity ω 1 rotations per second, is attached to the end of a stick of length 3 whose other end is Fxed at the origin, and which itself is rotating counterclockwise with angular velocity ω 2 rotations per second. Parametrize the motion of a point on the rim of the wheel. 10 A great circle on a sphere is a circle whose center is the center of the sphere....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Cone

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