Find an equation of the tangent plane to the cone 4z2 = x2 - 9y2 at the point (5, −1, 2)
Find an equation of the tangent plane to the cone 4z2 = x2 - 9y2 at...
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 equation for tangent plane and the normal line to the surface with equation x2 +972 +922 = 22 at the point P(2, 1, 1).
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 an equation of the tangent plane to x2+y2+z2=34 at the point (3,4,3).
Find the equation of the tangent plane to the surface at the given point a. z = x2 + y2 + 2 (1,3,12)
5. Find the equation of the tangent plane to z = x2 + y2 at (x, y) = (1,2). 6. Set up (do not evaluate) iterated integrals for both orders of integration of ydA, where D is the region bounded by y = x2 and y = 3x.
Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. x2 – xyz = 228; P(-6,8,4) Equation for the tangent plane: Edit Parametric equations for the normal line to the surface at the point P: Edit Edit z = 4 + 481
Exercise 3. Find and identify the trace of the given quadric surface in the specified plane of coordinates. f) x2 + 2y – 2z2 – 2 = 0, xz-plane. g) x = y2 + 4, xy-plane. a) A + B + * = 1, xy-plane. b) x2 + 4y2 – 4z2 – 16 = 0, xz-plane. c) -4x2 - y2 + z2 = 1, yz-plane. d) x2 + – z2 = 0, yz-plane. e) x2 + x2 – 4y+4= 0,...
find an equation for the plane tangent to the cone r(r,theta)=(rcostheta)i+(rsintheta)j+rk, r greaterthanorequalto 0, 0 lessthanorequalto theta lessthanorequalto 2pi, at the point P0(-1,sqrt(3),2) corresponding to (r,theta)=(2, 2pi/3). then find a cartesian equation for the surface and sketch the surface and tangent plane together.