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Unformatted text preview: 3. is the angle between the positive zaxis and the line segment from the origin to the point P ) , , ( φ θ ρ ≥ π φ≤ ≤ Figure 11.75 Conversions • Spherical to Rectangular • Rectangular to spherical: φ ρ θ cos sin sin cos sin = = = z y x + + = = + + = 2 2 2 2 2 2 2 arccos tan z y x z x y z y x More Conversions • Spherical to cylindrical (r 0) • Cylindrical to Spherical (r 0) ≥ φ ρ θ cos sin 2 2 2 = = = z r 2 2 2 2 arccos z r z z r + = = + = ≥ More Examples: 1) Convert the point from spherical to rectangular 2) Find an equation in rectangular coordinates and graph. 3) Convert the equation to cylindrical and spherical, ( 29 π , , 9 4 φ ρ sec 2 = z y x = + 2 2...
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 Fall '12
 PamelaSatterfield

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