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4. Find an equahon of the tangent plane to the giver Surface at the specifed ZX-4...
4. (4 pts) Consider the surface z=x2y+y3.(a) Find the normal direction of the tangent plane to...
4. (4 pts) Consider the
surface z=x2y+y3.(a) Find the normal direction of the tangent plane
to the surface through (1,1,2).(b) Find the equation of the tangent
plane in (a).(c) Determine the value a so that the vector−→v=−−→i+
2−→j+a−→k is parallel to the tangent plane in (a).(d) Find the
equation of the tangent line to the level curve of the surface
through (1,1).
4. (4 pts) Consider the surface z = z2y + y). (a) Find the normal direction of the...
Find the equation of the plane tangent to the following surface at the given points. x2...
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
9a. Find a normal vector to the tangent plane to the surface x = y2zs at...
9a. Find a normal vector to the tangent plane to the surface x = y2zs at (1,-1,-1). 35 b. Find the equation of the tangent plane to the surface x=y'7 at the point (1,-1,-1).
Find an equation of the plane tangent to the following surface at the given point. xy...
Find an equation of the plane tangent to the following surface at the given point. xy +6yz +xz- 32-0, (2.2,2) The equation of the tangent plane at (2.2.2) is-0
Find an equation of the plane tangent to the following surface at the given point 4xy...
Find an equation of the plane tangent to the following surface at the given point 4xy + 3yz + xz - 32 = 0: (2,2,2) The equation of the tangent plane at (22.2) is = 0
Find an equation of the plane tangent to the following surface at the given point. 4xy...
Find an equation of the plane tangent to the following surface at the given point. 4xy + yz + 3x2 - 32 = 0; (2,2,2) The equation of the tangent plane at (2,2,2) is = 0.
5. (2 points) Find the equation of the tangent plane to the given surface ation of...
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
Find the equation of the tangent plane to the surface at the given point a. z...
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 tangent plane to the surface 2x2 + y2 + 2z2 =...
Find the equation of the tangent plane to the surface 2x2 + y2 + 2z2 = 5ey + 5 at the point (1,0,2).
ya at the Find the equation for the tangent plane to the surface z = point...
ya at the Find the equation for the tangent plane to the surface z = point P (1,-1,1). 2
4. (4 pts) Consider the
surface z=x2y+y3.(a) Find the normal direction of the tangent plane
to the surface through (1,1,2).(b) Find the equation of the tangent
plane in (a).(c) Determine the value a so that the vector−→v=−−→i+
2−→j+a−→k is parallel to the tangent plane in (a).(d) Find the
equation of the tangent line to the level curve of the surface
through (1,1).
4. (4 pts) Consider the surface z = z2y + y). (a) Find the normal direction of the...
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
9a. Find a normal vector to the tangent plane to the surface x = y2zs at (1,-1,-1). 35 b. Find the equation of the tangent plane to the surface x=y'7 at the point (1,-1,-1).
Find an equation of the plane tangent to the following surface at the given point. xy +6yz +xz- 32-0, (2.2,2) The equation of the tangent plane at (2.2.2) is-0
Find an equation of the plane tangent to the following surface at the given point 4xy + 3yz + xz - 32 = 0: (2,2,2) The equation of the tangent plane at (22.2) is = 0
Find an equation of the plane tangent to the following surface at the given point. 4xy + yz + 3x2 - 32 = 0; (2,2,2) The equation of the tangent plane at (2,2,2) is = 0.
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
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 tangent plane to the surface 2x2 + y2 + 2z2 = 5ey + 5 at the point (1,0,2).
ya at the Find the equation for the tangent plane to the surface z = point P (1,-1,1). 2
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