If F x , y , z is the velocity vector field for a steady-state incompressible fluid flow, then a point at which div F is positive is called a _________ and a point at which div F is negative is called a _________ . The continuity equation for an incompressible fluid states that _________ .
If F x , y , z is the velocity vector field for a steady-state incompressible fluid flow, then a point at which div F is positive is called a _________ and a point at which div F is negative is called a _________ . The continuity equation for an incompressible fluid states that _________ .
If
F
x
,
y
,
z
is the velocity vector field for a steady-state incompressible fluid flow, then a point at which div F is positive is called a
_________
and a point at which div F is negative is called a
_________
.
The continuity equation for an incompressible fluid states that
_________
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engine is defined by
e= (Qh-Qc)/Qh
where Qh is the heat absorbed in one cycle and Qc, the heat released into a reservoir in one cycle, is a constant. Find de/dQh.
Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).
af
A.
C.
af
B. =
D.
E.
元
F.
=
a²f
Əò
a²f
Əy²
a²f
əyəx
=
=
a²f
Ərdy
fz
fy
=
=
=
=
frx =
fyy
=
fyr
fay
=
=
University Calculus: Early Transcendentals (4th Edition)
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