Calculate the geodesic curve of the surface x^2 +y^2 -z=0
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Calculate the geodesic curve of the surface x^2 +y^2 -z=0
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- Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.find the areas of the surfaces generated by revolvingthe curves about the given axes. x = √4y - y2, 1 ≤ y ≤ 2; y-axisfind the areas of the surfaces generated by revolvingthe curves about the given axes. y = √(2x + 1), 0≤x ≤ 3; x-axis
- find the areas of the surfaces generated by revolvingthe curves about the given axes. x = √y, 2 ≤ y ≤ 6; y-axisFind the exact area of surface obtained by rotating the curve about the x-axis. y=sqrt5-x 3< x < 5 less than and greater than are equal tofind the areas of the surfaces generated by revolvingthe curves about the given axes. y = x3/3, 0 ≤ x≤ 1; x-axis
- Find the exact area of the surface obtained by rotating the curve about the x axis. y=sinpiex O<x<1Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 5− x, 3 ≤ x ≤ 5determine the equation of the tangent plane to the surface given at the specified point ( draw graph)