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- Find equations of the tangent plane and normal line to the surface z + 19 = xe" cos z at the point (19, 0, 0). Tangent Plane: (make the coefficient of z equal to 1). = 0. Normal line: (19, 出) +t( 1).Find an equation of the tangent plane to the surface 9x2 + y2 + 4z2 = 25, at the given point (0, −3, 2).Find an equation of the tangent plane to the surface at the given point z= 5x - xy3+y2, (1,1,5)
- Find the equation of the tangent plane to the surface determined by at x = 4, y = 2. *-0 z = 35x¹y¹Find the equation of the tangent plane to the surfaceln(x3 + y3 + z3) = x2z + 1at the point (1, 1, −1).5) Find the equation of the tangent plane to the surface exyz = x + 2y + 3z at the point (3,-1,0).
- Find the equation of the tangent plane to the surface z = ly - lz' at the point (-2,0,-4). 4x+0 Note: Your answer should be an expression of x and y, e.g. "3x - 4y +6"Find the (linear) equation of the tangent plane to the surface z = x sin(x + y) at the point (5, -5,0). Equation:Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with the plane x = 2 at the point (2, 1, 3). (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation: