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A motile cell is placed at the point (x0, y0) on a square shaped dish filled with a "nutrient bath". The concentration of nutrient at any point (x, y) in the dish is given by
N(x, y) = 10 - 2x2 - 4y2.
Cells are typically known to move, in a continuous fashion, in the direction of maximum increase of this nutrient. Furthermore, it is observed that each cell moves with a velocity proportional to the gradient vector at each point (where k is the constant of proportionality).
(a) Show that the parametric equations that represent the motion of the cell over time are given by
x(t) = x0e-4kt, y(t) = y0e-8kt.
[Hint: you may need to look up a method for solving first order ordinary differential equations, known as "separation of variables".]
9189 divided by 13
my son is in middle school and his teacher pre-algebra teacher wants him to write a summary on "who I am " about his self. summary about myself. I need your to know do have a any
A kilometer is about 5/8 mile.About how many miles are in 4 2/5 kilometers? How would I set a proportion?
(1, 5) and (2, 6)
-2
for what value of x is \2x-3\-4
how do you solve function of x ?
-8x+9x-13x
Given f ( x ) = 2 + 3x - x 2 and g ( x ) = 2 x -1 evaluate ( f + g ) ( 4) Solution Through evaluate we mean one of two things based on what is in the parenthesis. If the
9.6+5.2=
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