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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".]
The sum of the sides of a triangle is 9 2/9 inches.If the two sides measure 5/3 inches and 3 1/6 inches,find the measure of the third side
5(-4x+70+5
(-9) (-88) (-7)
Achieve $225,500 at 8.75% compounded continuously for 8 years, 155 days
All of them
Two cars start out at the similar point. One car starts out moving north at 25 mph. later on two hours the second car starts moving east at 20 mph. How long after the first car s
Given that x=2 is a zero of P ( x ) = x 3 + 2x 2 - 5x - 6 determine the other two zeroes. Solution Firstly, notice that we actually can say the other two since we know th
9x-3y=24;7x-3y=20
How would I solve the reflection of y= (-x)^2
What are the different ways to multiply/add/subtract/divide and work with square roots?
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