Question

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)

Answer #1

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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 = 8x^2 + y^2 − 7y, (1, 3, −4)

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 given surface at
the specified point.
z = 3x2 - y2 +
3y, (-3, 3, 27)

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 surface given
parametrically by x = u^2, y = v^2, z = u+4v at the point (1, 4,
9).

Find an equation of the tangent plane (in
variables x, y, z) to parametric surface
r(u,v)=〈3u,−5v-5u^2,−5v^2〉 at the point (3,0,−5)

Find the equation of the tangent plane (in terms of x, y and z)
to the surface given by x = u, y = v and z = uv at the point (3, 2,
6).

Find an equation of the tangent plane to the parametric surface
r=(u,v)=ucosv I +usinv j +vk at u=1, v=pi/3
Find the surface area of the parametric surface r(u,v)=5sinucosv
I + 5sinusinv j+ 5cosu k, for 0 ,<= u <=pi and o<=v<=
2pi

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