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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".]
3_-1 x+2 --- 1+_2 x+2
All parabolas are vaguely "U" shaped & they will contain a highest or lowest point which is called the vertex. Parabolas might open up or down and may or may not contain x-inte
Based on past experience, a production process requires 15 hours of direct labour and 2 assemblers for every $450 of raw materials. If the company has budgeted for $33,750 worth of
-5-6y+6=19
I am trying to find the answer to y=x^2+12x-11 Would you help me
We have to give one last note on interval notation before moving on to solving inequalities. Always recall that while we are writing down an interval notation for inequality that t
Michael bought three USB flash drives each capacity of 1.5 gigabytes.He also bought two USB flash drives each with a capacity of @ gigabytes.Express the total capacity of the three
WHAT IS 2(8Y-6C)
Convert following into the form f (x ) = a ( x - h ) 2 + k Solution We are going to complete the square here. Though, it is a s
#How do you solve them????
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