Question

1. Consider x=h(y,z) as a parametrized surface in the natural way. Write the equation of the...

1. Consider x=h(y,z) as a parametrized surface in the natural way. Write the equation of the tangent plane to the surface at the point (5,3,−4) given that ∂h/∂y(3,−4)=1 and ∂h/∂z(3,−4)=0.

2. Find the equation of the tangent plane to the surface z=0y^2−9x^2 at the point (3,−1,−81). z=?

Homework Answers

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
We are given a level surface F ( x , y , z ) = 0...
We are given a level surface F ( x , y , z ) = 0 where F ( x , y , z ) = x^3 - y^2 + z^4 - 20 . Find the equation of the tangent plane to the surface at the point P ( 2 , 2 , 2 ) . Write the final answer in the form a x + b y + c z + d = 0
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
8). a) Find an equation of the tangent plane to the surface z = x at...
8). a) Find an equation of the tangent plane to the surface z = x at (−4, 2, −1). b) Explain why f(x, y) = x2ey is differentiable at (1, 0). Then find the linearization L(x, y) of the function at that point.
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 = 2(x − 1)2 + 4(y + 3)2 + 1,    (3, −1, 25) Answer as z=
Find the equation of the tangent plane (in terms of x, y and z) to the...
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 given surface at the specified point. 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 the equation of the tangent plane to the surface determined by x2y4+z−35=0 at x=3, y=4.
Find the equation of the tangent plane to the surface determined by x2y4+z−35=0 at x=3, y=4.
Consider the function F(x, y, z) =x2/2− y3/3 + z6/6 − 1. (a) Find the gradient...
Consider the function F(x, y, z) =x2/2− y3/3 + z6/6 − 1. (a) Find the gradient vector ∇F. (b) Find a scalar equation and a vector parametric form for the tangent plane to the surface F(x, y, z) = 0 at the point (1, −1, 1). (c) Let x = s + t, y = st and z = et^2 . Use the multivariable chain rule to find ∂F/∂s . Write your answer in terms of s and t.
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)
(a) Find an equation of the plane tangent to the surface xy ln x − y^2...
(a) Find an equation of the plane tangent to the surface xy ln x − y^2 + z^2 + 5 = 0 at the point (1, −3, 2) (b) Find the directional derivative of f(x, y, z) = xy ln x − y^2 + z^2 + 5 at the point (1, −3, 2) in the direction of the vector < 1, 0, −1 >. (Hint: Use the results of partial derivatives from part(a))
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT