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- Find the equation of the tangent plane to the surface z=6x^5+2y^5+3xy at the point (3,3,1971)z=Find an equation for the tangent plane to the surface z = 3y^2 − 2x^2 + x atP(2, −1, −3). Express your answer in the form z = ax + by + c.Find an equation of the tangent plane to the surface z = x^3- y^2 + 12x + 2y at the point (1, 2, 5).
- Find the equation of the tangent plane to the surfacez=9x^5+2y^5+1xy at the point (0,−1,−2)z=Write the equation of the plane tangent to the surface of x^2+2y^2-5z=1 at the point (2,1,1)Write an equation in general form of the tangent plane to the surface x^2+siny + z^3 = −4 at the point P(2, 0, −2).
- Find the tangent planes to the surfaces given by the equations z = 7x^2 - 12x - 5y^2 and xyz^2 = 2 at the point P(2, 1, -1), and show that the planes you find are perpendicular to each other.Find an equation of the tangent plane to the surface 4x^2 + 9y^2 − z^2 = 14 at P = (2, 1, 4).Find the equation of the plane tangent to the surface z = 10 − x^2 − y^2 at the point P0(2,2,2).