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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".]
so I''m having trouble. I honestly don''t under stand this. Y=4x+5. y=-1/4x+4 they want me to tell whether the line is parallel, perpendicular or neither I don''t know how.
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5x+2x-17=53
how do you work it out?
if there are 12 boys how many girls will it be
There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the
Ask question #Minimum 100evaluate the expression log4 (x - 7) =3 words accepted#
what is the simplified form of 5 square 32 - 4 square 18
add - 3a + b - 10 -6c, c -d- a + 9 and - 4c +2a - 3b - 7
I have such a hard time understanding them
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