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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".]
what is the solution set y>2
Example Evaluate log 5 7 . Solution At first, notice that we can't employ the similar method to do this evaluation which we did in the first set of instance. It would n
x-45=47
what are the two types of ogive curves
In this section we will discussed at solving exponential equations There are two way for solving exponential equations. One way is fairly simple, however requires a very specia
x3+y3/x+y
hello! at my school we are learning how to solve two-step equations but i am having a little trouble. can you please help me?
20
(2x^2+16x+24)/(3x^2) /(x+6)
4Log5n - log5m = 1 5log5m + 3log5m =14
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