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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".]
linear functions
find c when t=7
ac + xc + aw^2 +xw^2 i need to factor the problem above
In his boat, Leonard can travel 24 miles upstreamin the same time it takes to travel 36 miles downstream
can you help and is it free?
-16 = n + 1
how do you do it i do not understand at all
Lisa and Judy read mystery novels. Judy has read three fewer than five times as many as Lisa. Equation: J=5L-3 Lisa: Judy:
how can i solve this if a=2 b=7 c=9 using quadratic formula?
I have such a hard time understanding them
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