Find the flux of F across the surface σ by expressing σ parametrically. F( x , y , z ) = 3 i + 7 j + z k ; σ is the portion of the cylinder x 2 + y 2 = 16 between the planes z = − 2 and z = 2 , oriented by outward unit normals.
Find the flux of F across the surface σ by expressing σ parametrically. F( x , y , z ) = 3 i + 7 j + z k ; σ is the portion of the cylinder x 2 + y 2 = 16 between the planes z = − 2 and z = 2 , oriented by outward unit normals.
Find the flux of F across the surface
σ
by expressing
σ
parametrically.
F(
x
,
y
,
z
)
=
3
i
+
7
j
+
z
k
;
σ
is the portion of the cylinder
x
2
+
y
2
=
16
between the planes
z
=
−
2
and
z
=
2
,
oriented by outward unit normals.
Find an equation of the tangent plane to the following parametric surface,r(u, v) = (u2 + 6) i + (v3 + 8u) j + (u + 3v) k ,at the point (7, 7, −2).Write the equation in the form ax + by + cz + d = 0, where a, b, c, and d have no common factors. Then enter the values of a, b, c, and d (in that order) into the answer box below, separated with commas.
The vector v = <a, 1, -1>, is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1).
Find a.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.