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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".]
#question.0.3x-0.4y=-2.2 -0.1x-0.4y=-1.4
P=positive N=negative whats a negative - negative p+n= n-n=
Find regular grammar for a(a+b)*(ab*+ba*)b
Fact Following any system of equations there are accurately three possibilities for the solution. 1. There will not be a solution. 2. There will be just one solution.
2.6M-2=M+13
8/10 3/8
Determine a quadratic regression function that represents the distance the ball will travel in terms of its speed when it is hit at a 40 degree angle.
An inlet pipe can fill a large water tank in 4 hours. Another inlet pipe can fill the same water tank in 5 hours. Given an empty water tank, at 8:00 AM, activate both pipes. What t
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A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must
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