Find the flux of F across the surface σ by expressing σ parametrically. F( x , y , z ) = i + j + k ; the surface σ is the portion of the cone z = x 2 + y 2 between the planes z = 1 and z = 2 , oriented by downward unit normals.
Find the flux of F across the surface σ by expressing σ parametrically. F( x , y , z ) = i + j + k ; the surface σ is the portion of the cone z = x 2 + y 2 between the planes z = 1 and z = 2 , oriented by downward unit normals.
Find the flux of F across the surface
σ
by expressing
σ
parametrically.
F(
x
,
y
,
z
)
=
i
+
j
+
k
;
the surface
σ
is the portion of the cone
z
=
x
2
+
y
2
between the planes
z
=
1
and
z
=
2
,
oriented by downward 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.
Find the distance between the point (3, 1, −2) and the plane x + 2y − 2z = 4.
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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