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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".]
what does x when y=2x=3
dgsgsfgghshcvvfyrtruqsasasjkhdasdsweushshyegasdasjdl;sakjfks
Logarithm Functions In this section now we have to move into logarithm functions. It can be a tricky function to graph right away. There is some different notation which you
#question.what does a circle radius of 18.9 look like
(4y2)(2y)
A student rented a bicycle for a one-time fee of $12.00 and then a charge of $0.85 per day.She paid $28.15 for the use of the bicycle. How many days did she keep it?
a long distance telephone company charges 7 cents per minute or a 50 cent minimum charge per completed call, whichever is greater. Find the cost of a 1 minute call
5x+2=
y=3x+1 x=3y+1
changing of binary to hexadecimal
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