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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".]
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i need help with my math homework
66,77,11,88,99,22,33,44,55,
Solve x 2 -10 Solution There is a quite simple procedure to solving these. If you can memorize it you'll always be able to solve these kinds of inequalities. Step 1:
9x^4-x^2-12x-36
#question.P(x) = –x2 + 110x – 1,000. P(5), P(50), P(120) plot on graph
solve on graph y y>(=)4x+1
0.06n=0.15
what is the volume of a cube with side length 4 ?
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