Find an equation of the tangent plane to the surface 2 x4 = y2 +22 at...
Partial derivatives Example Find the equation of the tangent plane and the normal line at the point (1,1,1) to the surface 2x2 + 2y2 + 3z2 = 6. Example Find the equation of the tangent plane and the normal line at the point (1, 2, 3) to the surface 2x2 + y2 – z2 = -3.
Find the equation of the tangent plane to the surface 2x2 + y2 + 2z2 = 5ey + 5 at the point (1,0,2).
Find the equation of the tangent plane to the surface at the given point a. z = x2 + y2 + 2 (1,3,12)
Find the equation of the plane tangent to the following surface at the given points. x2 + y2 - 2? + 5 = 0; (4,2,5) and (-2,-4,5) The equation of the tangent plane at (4,2,5) is = 0. the equation of the tangent plane to the surface
Find the equation for tangent plane and the normal line to the surface with equation x2 +972 +922 = 22 at the point P(2, 1, 1).
6. Find an equation of the tangent plane to the surface z = 4x2-y2 +2y at (-1,2,4) = V20-下一77 at (2,1) 7. Find the linear approximation of f(z. y) and use it to approximte (1.95, 1.08). 8. Find the differential of the function
Question 19 Find a normal vector of the tangent plane to 2? + y2 + x2 = 30 at the point (1, -2,5). (1,2,5) O (2,-4,-8) (-3,6,-12) None of the above or below (-2,4-10) (1,1,1)
1) Assume you are given the surface S with equation 2 1- (a) Find the equation of the tangent plane to S at the point (V6, 1) (b) Find a point on the surface S so that the tangent plane to S at that point contains the point (3,0, 0). (c) Give an equation for and geometrically describe the set of points on S so that the tangent plane to S at those points contains the point (3, 0,0). 1)...
2. DETAILS LARCALCETZM 13.7.021. (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6,3, 27) - 2 / 2 (b) Find a set of symmetric equations for the normal line to the surface at the given point. y = 2 12 -6 -1 x - 6 = y - 3 = 2 - 27 X + 6 y + 3 2 + 27 12 -6 -1 x + 6...
5. (2 points) Find the equation of the tangent plane to the given surface ation of the tangent plane to the given surface at point (2. -1,0): sin(xyz) = x + 2y + 3z