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Find the asymptotic curves on the surface given by x (u, v) = (u, v, uv)
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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 asymptotic curves on the surface given by x (u, v) = (u, v, uv)Find the asymptotic curves on the surface given by x(u, v) = (u, v, u*v)
- Find an equation of the tangent z = 4x² - y² + 2y, plane to the given surface at the specified point. (-2, 4, 8)Find an equation of the tangent plane to the surface at the given point. X+y+z=12, (3,5,4) And find a set of symmetric equation for the normal line to the surface at the given point ○x-3 = y-5 = z-4 ○x-3/3 = y-5/5 = z-4/4 ○3x = 5y = 4z ○x-3/3 = y-5/4 = z-4/5 ○x/3 = y/5 = z/4Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with the plane x = 2 at the point (2, 1, 3). (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation:
- Find the angle of inclination x² + y² = 25, 0 = of the tangent plane to the surface at the given point. (4, 3, 1)A differentiable function f(x, y) has the property that ƒ(2, 2) = 5 and ƒ„(2, 2) = plane at the point on the surface z = f(x, y) where x = 2, y = 2. 2= -5 and fy(2, 2) = -3. Find the equation of the tangent
