The mass density function of a substance is given by: p(x, y) = (x + y)...
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The mass density function of a substance is given by: p(x, y) = (x² + y²) e²². A particle is moving along the hyperbola z²y²=1 with the parametric function (t) = (cosh(t), sinh(t)) for 1 € (1,1) a) Determine the time when the density of the particle is maximized. b) Find the tangent vector to the path of the particle at the time t determined in part (a). c) Calculate the rate of change of the density of the particle at the time t obtained in part (a). The mass density function of a substance is given by: p(x, y) = (x² + y²) e²². A particle is moving along the hyperbola z²y²=1 with the parametric function (t) = (cosh(t), sinh(t)) for 1 € (1,1) a) Determine the time when the density of the particle is maximized. b) Find the tangent vector to the path of the particle at the time t determined in part (a). c) Calculate the rate of change of the density of the particle at the time t obtained in part (a).
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