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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".]
you have just been hired as manager of pi pizza, a small business that makes frozen pizzas for sale. Pi makes 12 inch pizzas for a profit of $2 a box and 16 inch pizzas for a profi
y+11=(y+10)+(y-7)
Solve following equations by factoring. a) x 2 - x = 12 b) y 2 + 12 y + 36 = 0 Solution a) x 2 - x = 12 First to solve it get everything on si
Properties of Logarithms 1. log b 1 = 0 . It follows from the fact that b o = 1. 2. log b b = 1. It follows from the fact that b 1 = b . 3. log b b x = x . it c
how do I write 4x^3-62 in descending order
Three students were participating in a school''s fundraiser. The first student sold 2 candy bars, 7 pies, and 3 cookie dough. The second student sold 10 candy bars, 2 pies, and 2 c
(x+2) (x+3)
Achieve $225,500 at 8.75% compounded continuously for 8 years, 155 days
Tank A contains four times as much as Tank B. Tank C contains 32 L more than Tank A. The three Tanks contain 482 L of water in all. How many liters of water does Tank A contain?
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