If V ( x , y ) is the electric potential at a point ( x , y ) in the xy -plane, then the level curves of V are called equipotential curves because at all points on such a curve the electric potential is the same. Sketch some equipotential curves if V ( x , y ) = c / r 2 − x 2 − y 2 , where c is a positive constant.
If V ( x , y ) is the electric potential at a point ( x , y ) in the xy -plane, then the level curves of V are called equipotential curves because at all points on such a curve the electric potential is the same. Sketch some equipotential curves if V ( x , y ) = c / r 2 − x 2 − y 2 , where c is a positive constant.
Solution Summary: The author illustrates the equipotential curves of the electrical potential function V(x,y) = csqrtr2-x 2
If V(x, y) is the electric potential at a point (x, y) in the xy-plane, then the level curves of V are called equipotential curves because at all points on such a curve the electric potential is the same. Sketch some equipotential curves if
V
(
x
,
y
)
=
c
/
r
2
−
x
2
−
y
2
, where c is a positive constant.
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1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
F3
a
FEB
9
2
7
0
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3
2
stv
DG
Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x.
h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1
-
-
-
f(x) = ☐
Chapter 14 Solutions
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