1. Find an equation of the tangent plane to the given surface at the specific point. (a) z = x2 y2-5y, (3,-2,5) (b) z=5+(x-1)²+(y+ 2)², (2, 0, 10) (c) z=ysin(x + y). (1.-1.0)

Find an equation of the tangent plane to the surface z = 3x³ + 3y + xy at the point (-1,-1,-5). z=-15x-15y-5

7. Find the equation of the tangent plane to each surface at the given point. (a) x? + y? + z² = 14 at (3,2, –1). (b) x² + y? = z² + 1 at (1,1,1).

Find an equation of the tangent plane to the surface at the given point. x² + y² – 9z2 = 4, (-2,-3, 1)

1. Find all equations of the tangent line to the common curve of the two surfaces with equations z = x² – y² – 2xy and z = x² + y² – 2xy – 2 at the point (2, -1, 7).

12- Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,v) =; (5,2,3)

Consider the following. 2(x - 9)2 + (y - 6)?+ (z - 4)² = 10, (10, 8, 6) (a) Find an equation of the tangent plane to the given surface at the specified point. (b) Find an equation of the normal line to the given surface at the specified point. (x(t), y(t), z(t)) =

Find an equation of the tangent plane to the given surface at the specified point. Z z = 4x² - y² + 5y, (-2, 4, 20)

Find the equation for the tangent plane to the surface -3x-8y-9z--13 at the point (1,-1,2). O-3x+8y- 18z = -13 O-3x -8y-9z = -20 O-3x+8y- 18z = -20 O-3x -8y-9z = -13

Find an equation of the tangent plane to the surface z = x2 + y2 + 2 at the given point (1, 3, 12)