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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".]
find the slope of y=2x
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Inequalities Involving > and ≥ Once again let's begin along a simple number example. p ≥ 4 It says that whatever p i
Alice bought a round-trip ticket to fly from Baltimore to Chicago on SuperAir for $250. That was $16 more than she would have on Jet Airlines, which only offered a one-way fair. Ho
Solve following. |2x - 5 |= 9 Solution Now, recall that absolute value does not just make all minus signs in plus signs. In order to sol
My age is a multiple of 3 and and a factor of 60. The sum of my digits is 3. How old am I? Im thinking either 180 or 20
x+3=2 What is x?
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# 14 3g=-28 1/2
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