([8]) Find the point on the surface z = x2 + 2y2 where the tangent plane...
Find the equation of the tangent plane to the surface at the given point a. z = x2 + y2 + 2 (1,3,12)
A surface S described as circular paraboloid x2 + y2-z bounded by plane z-3. a) Find a parametrization for S. b) Find plane tangent to S at (1, 1, 2) A surface S described as circular paraboloid x2 + y2-z bounded by plane z-3. a) Find a parametrization for S. b) Find plane tangent to S at (1, 1, 2)
At what point on the surface z = 2 + x2 + y2 is its tangent plane parallel to the following planes? (a) z = 6 (x, y, z) = (b) z = 6 + 4x − 12y (x, y, z) =
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
5 and 6 please 5) Given the surface f(x, y, z) = 0 or z = f(x,y), find the tangent plane at P. a) z2 – 2x2 – 2y2 = 12 @ P=(1,-1,4) b) f(x,y) = 2x - 3xy3 @ 12,-1) c) f(x,y) = sin(x) @ (3,5) 6) Find an equation of the tangent plane and the equation of the normal line to surface f(x..zb=0 @P x2 + y2 + z2 = 9 P = (2,2,1)
Set up only b. Find the volume of the solid bounded by z x2 y2 and z 3 in spherical coordinates. Set-up only (OJ 7a. Change to spherical coordinates. Set-up only.X 2. f(x, y,z)dzdxdy b. Find fffe'd/where E is the region bounded by z (x2 + y2)2 and z 1, inside x2 + y2 4 in cylindrical coordinates. Set-up only b. Find the volume of the solid bounded by z x2 y2 and z 3 in spherical coordinates. Set-up only...
Could you do number 4 please. Thanks 1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z) xy; ơ is the portion of the plane x + y + z lying in the first octant. 3. f(x, y, z) x2y; a is the portion of the cylinder x2z2 1 between the planes...
Determine the option that contains the equation of the tangent plane the surface z=x2+y2 on the point (-2,1,5) Determine la opción que contiene la ecuación del plano tangente la superficie z= x2 + y2 en el punto (-2,1,5) O-41 + 2y - 2–5 = 0 O-42 - 2y +2 -11=0 O 4x - 2y – 2 + 17 = 0 O NO ESTÁ LA RESPUESTA
Find an equation of the tangent plane to the surface at the given point. x2 + 2z2ev - * = 22, P= (2, 3, te) Use the Chain Rule to calculate f(x, y) = x - 4xy, r(t) = (cos(5t), sin(3t)), t = 0 force) = +-/1 points RogaCalcET3 14.5.015. Use the Chain Rule to calculate f(x, y) = 5x - 3xy, r(t) = (t?, t2 - 5t), t = 5 merce) = + -/1 points RogaCalcET3 14.5.018. Use the...
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.