Question

Find an equation of the tangent plane to the given surface at the specified point.

*z* = 3*x*^{2} - *y*^{2} +
3*y*, (-3, 3, 27)

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 = 8x^2 + y^2 − 7y, (1, 3, −4)

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 parametric
surface at the specified point. x = u + v, y = 6u^2, z = u − v; (2,
6, 0)

Find an equation of the plane tangent to the surface z =
3x2 - 2y3 + 7 at the point P(-1, 1, 8)

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
z=−3x2−1y2−2x+1y−1 at the point (4, 2,
-59).
z=________

Find the equation of the tangent plane to the surface
z=e^(−2x/17)ln(3y) at the point (−2,4,3.1441).

Find an equation of the tangent plane to the surface z = x^2 +
xy + 3y^2 at the point (1, 1, 5)

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