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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".]
(5,7;y=1/3x+2
What two numbers multiplied equal 216 but added together equal -42?
carly spends $5 for n notebooks.w
Kevin randomly selected 1 card from a standard deck of 52 cards. what is the probabilty that he will chose King of Hearts ... 17/13 ..... 17/52 .... 13/4 .... 52/12
please help I need step by step on this
Example: Sketch the graph of ellipses. (x +2) 2 /9 + ( y - 4) 2 /25 =1 Solution So, the center of this ellipse is ( -2, 4) and as usua
81x^5-49x^3=0
1. Construct a truth table for the following Boolean expressions: a) ABC + A'B'C' b) ABC + AB'C' + A'B'C' c) A (BC' + B'C) 2. Simplify the following expressions:
20
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