Find an equation of the tangent plane to the given surface at the specified point. Z = 5(x - 1)2 + 4(y + 3)2 + 5, (2, -1, 26)Verify the linear approximation at (0, 0). f (x, y) = 1x+4 = 4+7x-12y 3y + 1 Let f(x, y) = _*+ 4. Then fx(x, y) = so by this theorem, f is differentiable at (0, 0). We have fx(0, 0) = fy(0, 0) = 3y + 1 and fy(x, y) = Both fx and fy are continuous functions for y # and the linear approximation of fat (0, 0) is f(x, y) = f(0, 0) + fx(0, 0)(x - 0) + fy(0, 0)(y - 0) = Need Help? Watch It Submit Answer /1 Points] DETAILS SCALCET7 14.4.021. MY NOTES ASK YOUR TEACHER Find the linear approximation of the function f(x, y, z) = v x2 + y2 + z2 at (4, 4, 2) and use it to approximate the number v 4.012 + 3.972 + 1.982. (Round your answer to five decimal places.) f(4.01, 3.97, 1.98) = Need Help? Watch It