= 1 at which the tangent plane (1 point) Find the points on the surface 5x2...
(1 point) Find the points on the surface 3x2 + 4y2 3z2 -1 at which the tangent plane is parallel to the plane ) and We were unable to transcribe this imageWe were unable to transcribe this image(1 point) Consider the surface xuz48 A. Find the unit normal vector to the surface at the point (3, 4,4) with positive first coordinate. B. Find the equation of the tangent plane to the surface at the given point. Express your answer in...
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
(1 point) Find the equation of the tangent plane to the surface z = y In(x) at the point (1. -9,0). Z- Note: Your answer should be an expression of x and y, e.g. 3x - 4y + 6.
Which of the following is the equation of the plane that is tangent to the surface 222 + y² - zz-32= -1 at the point P (1,-1,1)? 3 x + 2y - 42 = -3 5x – 2y - 42 = 3 3x - 2y - 32 = 2 3x - 2y - 42 = 1 52 – 2 – 3z = 4 00 Mark This Question
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)...
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent planes to the two surfaces at P(2,0,-8) are perpendicular. whether the lines parallel, 2-z & 12 Marks] 4x2 +9y2-24. (B) Find the points on Si at which the tangent plane is parallel to the plane x+y+32-5 3 Marks] Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or...
Find the point(s) on the sphere x2 + y2 + z2 = 1 where the tangent plane is parallel to the plane 2.C + V3y – 3z = 2. Then write the equation(s) of the tangent plane(s). (Explain how you found the point(s) and simplify the equation(s) of the tangent plane(s)).
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
ya at the Find the equation for the tangent plane to the surface z = point P (1,-1,1). 2
Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1, 8, 0)