Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the surface 2z - x² = 0. (a) Using a coefficient of 2 for x, the equation for the tangent plane is
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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 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 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 parametric equations for the normal line to the surfacez=ln(3x2 +7y2 +1) at the point (0,0,0)Using the equation f(x) =√25-x² at point (2,4), find the equation of: A. Tangent B. Normal line to the curveFind 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 the equation of the tangent plane and the parametric equations of the normal line to the graph of the function ? defined by(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.Show that the point (2, 4) lies on the curve x3 + y3 - 9xy = 0. Then find the tangent line and normal line to the curve there