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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".]
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using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,40. Formula is T x _ +_=8, T x_+_=16 etc same 2 numbers must be used. how do i figure this out? an brackets be used or minus?
$73.62 0.06
0.06n=0.15
Also, as x obtain very large, both positive & negative, the graph approaches the line specified by y = 0 . This line is called a horizontal asymptote. Following are the genera
x2 -x = 7 -3 -5 1 5 -3
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Kevin randomly selected 1 card from a Standard deck of 52 cards. what is the probabilty that he will get the king of hearts?? Multiple choice .... 4/13.... 17/52...... 13/4..... 5
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