Evaluate the surface integral.
S
(x + y + z) dS, S is the parallelogram with...
Evaluate the surface integral.
S
(x + y + z) dS, S is the parallelogram with parametric
equations
x = u + v,
y = u − v,
z = 1 + 2u + v,
0 ≤ u ≤ 7,
0 ≤ v ≤ 4.
U = {q, r, s, t, u, v, w, x, y, z}
A = {q,...
U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
List the elements in A - B.
Evaluate the surface integral (x+y+z)dS when S is part of the
half-cylinder x^2 +z^2=1, z≥0, that...
Evaluate the surface integral (x+y+z)dS when S is part of the
half-cylinder x^2 +z^2=1, z≥0, that lies between the planes y=0 and
y=2
let x=u+v. y=v find dS, the a vector, and ds^2 for the u,v
coordinate system and...
let x=u+v. y=v find dS, the a vector, and ds^2 for the u,v
coordinate system and show that it is not an orthogonal system
Compute the surface integral of F(x, y, z) = (y,z,x) over the
surface S, where S...
Compute the surface integral of F(x, y, z) = (y,z,x) over the
surface S, where S is the portion of the cone x = sqrt(y^2+z^2)
(orientation is in the negative x direction) between the planes x =
0, x = 5, and above the xy-plane.
PLEASE EXPLAIN
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)...
Evaluate the following.
f(x, y) = x + y
S: r(u, v) = 5
cos(u) i...
Evaluate the following.
f(x, y) = x + y
S: r(u, v) = 5
cos(u) i + 5 sin(u)
j + v k, 0 ≤ u
≤ π/2, 0 ≤ v ≤ 3
Use a change of variables to evaluate Z Z R (y − x) dA, where R...
Use a change of variables to evaluate Z Z R (y − x) dA, where R
is the region bounded by the lines y = 2x, y = 3x, y = x + 1, and y
= x + 2. Use the change of variables u = y x and v = y − x.