Find the equation for (a) the tangent plane and (b
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- Find an equation of the tangent plane to the surface z = 16 − x2 − y2 at the given point (2, 2, 8) and find a set of symmetric equations for the normal line to the surface at the given point.Find an equation of the tangent plane to the surface xyz = 10, at the given point (1, 2, 5), and find a set of symmetric equations for the normal line to the surface at the given point.Find an equation of the tangent plane to the surface x2 + y2 + z2 = 9 at the given point (1, 2, 2) and find a set of symmetric equations for the normal line to the surface at the given point.
- Find equations of (a) the tangent plane and (b) the normal line given to the surface at the specified point yz2 - ex-z = 0 (1, 1, 1)Find an equation of the tangent plane to the surface y ln xz2 = 2, at the given point (e, 2, 1) and find a set of symmetric equations for the normal line to the surface at the given point.Find an equation of the normal line to y = x2 at the point (2, 4). (The normal line at a point is perpendicular to the tangent line at the point.) Where does this line intersect the parabola a second time?
- Find the symmetric equations of the normal line and tangent plane to the surface 7 = xe^y cos z at the point (3, 0, π)Find parametric equations for the normal line to the surfacez=ln(3x2 +7y2 +1) at the point (0,0,0)Find the equations of the tangent and the normal at the point indicated. x2 + y2 - 6x + 2y = 0 at (0, 0).
- (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1, 3, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point.Find the equation of the tangent plane and the parametric equations of the normal line to the graph of the function ? defined byFind an equation of the tangent plane to the surface f(x, y) = x2y at the given point (2, 1, 4) and find a set of symmetric equations for the normal line to the surface at the given point.