Find the Jacobians ∂ x , y / ∂ u , v of the given transformations from variables x , y to variables u , v x = 1 2 u 2 − v 2 , y = u v , ( u and v are called parabolic cylinder coordinates).
Find the Jacobians ∂ x , y / ∂ u , v of the given transformations from variables x , y to variables u , v x = 1 2 u 2 − v 2 , y = u v , ( u and v are called parabolic cylinder coordinates).
Find the Jacobians
∂
x
,
y
/
∂
u
,
v
of the given transformations from variables
x
,
y
to variables
u
,
v
x
=
1
2
u
2
−
v
2
,
y
=
u
v
,
(
u
and
v
are called parabolic cylinder coordinates).
Represent the line segment from P to Q by a vector-valued function.
P(4, 0, 7), Q(3, -3, 4)
r(t) =
Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list. Use t for the variable of parameterizat
In R, evaluate the alternating 2-form g = -3 · dx A dy on the pair of vectors (a, b) if
a = (4, 2, 12) and b = (-7, -4, 8)
Answer
5(a, b)
The vector v = <a, 1, -1>, is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1).
Find a.
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