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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".]
need help with euation #.
REENA HAS PENS AND PENCILS WHICH TOGETHER ARE 40 IN NUMBER.IF SHE HAS 5 MORE PENCILS AND 5 LESS PENS,THEN THE NUMBER PENCILS WOULD BECOME 4 TIMES THE NUMBER OF PENS.FIND THE ORIGIN
x^2+2x
How do you do uniform motion? i am stuck on some problems
is 55 an integer
Ninety passenger rode in a train from city a to city b. Tickets for regular coach seats cost $116. Tickets for sleeper cars seat cost $286. The receipts for the trip totaled $18,09
Exlpain Euler Quartic Conjecture?
There are two forms of the parabola which we will be looking at. The first form will make graphing parabolas very simple. Unluckily, most parabolas are not in this form. The seco
are these like terms
2.3+5=2.3+2.5 is an example of distributive property
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