Let F ( x ) = r 2 − 2 r x , where x = 〈 x , y 〉 and r = | x | . Use graphing software to plot this vector field in various domains until you can see what is happening. Describe the appearance of the plot and explain it by finding the points where F ( x ) = 0
Let F ( x ) = r 2 − 2 r x , where x = 〈 x , y 〉 and r = | x | . Use graphing software to plot this vector field in various domains until you can see what is happening. Describe the appearance of the plot and explain it by finding the points where F ( x ) = 0
Solution Summary: The author illustrates the vector field F(x)=0 by drawing a diagram.
Let
F
(
x
)
=
r
2
−
2
r
x
, where
x
=
〈
x
,
y
〉
and
r
=
|
x
|
. Use graphing software to plot this vector field in various domains until you can see what is happening. Describe the appearance of the plot and explain it by finding the points where
F
(
x
)
=
0
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.
4. Use the properties of limits to help decide whether each limit exists. If a limit exists, fi
lim (2x²-4x+5)
a)
x-4
b) lim
2
x²-16
x-4x+2x-8
7.
The concentration of a drug in a patient's bloodstream h hours after it was injected is given by
0.17 h
Ah=
h²+2'
Find and interpret lim A(h). Remember, the answers to word problems should always be given in a complete
h→00
sentence, with proper units, in the context of the problem.
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