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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".]
how do i find what x is 8/6= x/6 ??
I am supposed to put y= -2x-16x-32 in vertex form and identify the vertex , axis of symmetry, and direction of opening.
y+5=(4x+1)
John can drive his car 15 miles on 2 gallons. How many gallons of gas will john need to drive 195 miles?
find the x-and y-intercepts ofline represented by the equatics with stepy by step instructions and explained in words
12 X 6 = FIND THE ESTIMATE AND RECCORD THE PRODUCT
10000000004*56464684654654
i need with algebra
what is the standard deviation of a graph
(m2-3m-10)/(m-5)
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