Question

Suppose you need to know an equation of the tangent plane to a surface S at...

Suppose you need to know an equation of the tangent plane to a surface S at the point

P(2, 1, 4).

You don't have an equation for S but you know that the curves

r1(t) =
2 + 3t, 1 − t2, 4 − 5t + t2
r2(u) =
1 + u2, 2u3 − 1, 2u + 2

both lie on S. Find an equation of the tangent plane at P.

Homework Answers

Answer #1

find the equation

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the equation of the tangent plane for the surface represented by x = u2, y...
Find the equation of the tangent plane for the surface represented by x = u2, y = u - v2, and z = v2 at the following point (1,0,1).  
Let S be a surface in the 3-D space (but we don’t have an equation for...
Let S be a surface in the 3-D space (but we don’t have an equation for S). Suppose that there are two curves r _1(t) = < cos(t), sin(t), t > and r_ 2(s) = < (s + 1)^2, 2s, se^s > that both lie on S. Find an equation of the tangent plane to the surface S at the point (1, 0, 0).
Find an equation of the tangent plane to the surface given parametrically by x = u^2,...
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).
which of the following is the equation of the plane that is tangent to the surface...
which of the following is the equation of the plane that is tangent to the surface 2*x^2+y^2-x*z-2*z=2 at the point p(-1, 1, 1)
Find an equation of the tangent plane to the surface x y 2 + 3 x...
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
Find an equation of the plane tangent to the surface x3 - 2y2 + z4 =...
Find an equation of the plane tangent to the surface x3 - 2y2 + z4 = 5 at the point P(1, -1, 1)
Find an equation of the plane tangent to the surface z = 3x2 - 2y3 +...
Find an equation of the plane tangent to the surface z = 3x2 - 2y3 + 7 at the point P(-1, 1, 8)
Find an equation of the tangent plane to the surface given by the equation xy +...
Find an equation of the tangent plane to the surface given by the equation xy + e 2xz+3yz = −5, at the point, (0, −1, 2)
Find an equation of the tangent plane to the given surface at the specified point. z...
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 surface at the given point. xy2 +...
Find an equation of the tangent plane to the surface at the given point. xy2 + 2x − z2 = 15, (4, −2, 3)