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SOLVED:Find a parametrization for the curve. The line through the points (-3,-3) and (5,1)
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SOLVED:a. Find a parametrization for the hyperboloid of one sheet x^2 y^2-z^2=1 in terms of the angle θassociated with the circle x^2 y^2=r^2 and the hyperbolic parameter u associated with the hyperbolic function r^2-z^2=1 . (Hint: .cosh^2 u-sinh^2 u=1 .) b. Generalize the result in part (a) to the hyperboloid (x^2 / a^2) (y^2 / b^2)-(z^2 / c^2)=1
SOLVED:a. Find a parametrization for the hyperboloid of one sheet x…
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numerade.com
🟪⬇️ In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Parametric equations are commonly used to express the coordinates of the points that make up a geometric object such as a curve or surface, called a parametric curve and parametric surface, respectively. In such cases, the equations are collectively called a parametric representation, or parametric system, or parameterization (alternatively spelled as para
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