Question

Write down the parametrized surfaces as level surfaces {f(x,y,z)=0}. x=ucosv, y=usinv, z=u, 0 <= u <=...

Write down the parametrized surfaces as level surfaces {f(x,y,z)=0}.

x=ucosv, y=usinv, z=u, 0 <= u <= 2, 0 <= v <= 2pi

x = 2cosu*cosv, y = 2cosu*sinv, z = 2sinu, 0 <= u <= 2pi, 0 <= v <= pi

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
Consider the surface S parametrized by the equations x = uv, y = u + v,...
Consider the surface S parametrized by the equations x = uv, y = u + v, z = u − v, where u^2 + v^2 ≤ 4. ) Identify the surface S and give its equation in rectangular coordinates
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
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v;...
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v; w); z = z(u; v; w). To calculate ∂s ∂u (u = 1, v = 2, w = 3), which of the following pieces of information do you not need? I. f(1, 2, 3) = 5 II. f(7, 8, 9) = 6 III. x(1, 2, 3) = 7 IV. y(1, 2, 3) = 8 V. z(1, 2, 3) = 9 VI. fx(1, 2, 3)...
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=?
Compute the surface integral of f(x,y,z)=x^2 over z=sqrt(x^2+y^2), 0<=z<=1. Write answer as simply as possible. Note...
Compute the surface integral of f(x,y,z)=x^2 over z=sqrt(x^2+y^2), 0<=z<=1. Write answer as simply as possible. Note that this is 8 points and you have two attempts. ex) 5 π 2 write 5sqrt(pi)/2 Don't use any spaces and put in the conventional order, numbers outside square root first. Rationalize denominators. Use * for multiplication if necessary.
Compute ∬S (x)(y^2)(z) dS where S is the part of the cone with parameterization r(u,v)= <ucosv,usinv,u>...
Compute ∬S (x)(y^2)(z) dS where S is the part of the cone with parameterization r(u,v)= <ucosv,usinv,u> , 0≤ u ≤ 1, 0≤ v ≤ pi/2 . Also state what the parameter space is.
If z=(x+4y)ex+y,x=ln(u),y=v,z=(x+4y)ex+y,x=ln(u),y=v, find ∂z∂u∂z∂u and ∂z∂v∂z∂v. The variables are restricted to domains on which the functions...
If z=(x+4y)ex+y,x=ln(u),y=v,z=(x+4y)ex+y,x=ln(u),y=v, find ∂z∂u∂z∂u and ∂z∂v∂z∂v. The variables are restricted to domains on which the functions are defined.
a) evaluate the directional derivative of z=F(x,y) = sin(xy) in the direction of u=(1,-1) at the...
a) evaluate the directional derivative of z=F(x,y) = sin(xy) in the direction of u=(1,-1) at the point (0,pi/2) b) Determine the slope of the tangent line c) State the tangent vector
Please write down the details of reasons for your solutions. Thanks. Questions 2 a) Let f(x,y)...
Please write down the details of reasons for your solutions. Thanks. Questions 2 a) Let f(x,y) = sin (y^2 + e^(2x)). Find f(xy) and f(yx) and verify their equality. b) Find the equation of the tangent plane to the surface z=e^(2x)*cos(3y) at P (0, pi/3, -1) c) Find the direction in which the function f(x,y) = ((x-2y)/(2x+y))^(1/3) increases most rapidly at (1,0).
Given F (x, y, z) = (x’ + z) (x’ + y’)’ (y’ + z’) write...
Given F (x, y, z) = (x’ + z) (x’ + y’)’ (y’ + z’) write the expression for the dual of F and complement of F.