Question

Find an equation of the tangent plane to the given surface at the specified point. z = 8x^2 + y^2 − 7y, (1, 3, −4)

Answer #1

Find an equation of the tangent plane to the given surface at
the specified point.
z = 2x2 +
y2 −
7y, (1, 3, −10)

Find an equation of the tangent plane to the given surface at
the specified point.
z = 2(x − 1)2 + 4(y + 3)2 +
1, (3, −1, 25)
Answer as z=

Find an equation of the tangent plane to the given surface at
the specified point.
z = 2(x − 1)2 + 4(y + 3)2 +
9, (2, −2, 15)

Find an equation of the tangent plane to the given surface at
the specified point.
z = 3x2 - y2 +
3y, (-3, 3, 27)

Find an equation of the tangent plane to the given parametric
surface at the specified point. x = u + v, y = 6u^2, z = u − v; (2,
6, 0)

Problem 1. Find an equation of the tangent plane to the given
surface at the specified point. i) z = 2x 2 + y 2 − 5y, (1, 2, −4).
ii) z = e x−y , (2, 2, 1). iii) z = x sin(x + y), (−1, 1, 0)

Find an equation of the tangent plane to the surface at the
given point. xy2 + 2x − z2 = 15, (4, −2, 3)

Find an equation of the tangent plane to the surface given
parametrically by x = u^2, y = v^2, z = u+4v at the point (1, 4,
9).

Find the equation of the tangent plane to the surface given by z =
ln (2tan x - tan y) at (pi/4, pi/4, 0).

Find an equation of the tangent plane to the surface x y 2 + 3 x
− z 2 = 4 at the point ( 2 , 1 , − 2 ) An equation of the tangent
plane is

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