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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".]
HOW TO FACTOR THE GIVEN
Scenario: A client comes to you for investment advice on his $500,000 winnings from the lottery. He has been offered the following options by three different financial institutions
20 (4k+26) E k=1
5x+2x-17=53
a stack of disks is 0.5cm thick.how many disk each at 0.125cm thick are in a stack?
How do I solve this factoring X4-x³
(1/2)q + 3= 10.5 + q
Perpendicular to y=3x-2 and through the point (6,4)
if you have coupon for 450 off your camera purchase of $100 or at Zeke''s camera world. write a function relating a camera''s purchase price after coupon.y, to the retail price,x.
-3/4(x=6/5)>-159/160
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