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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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To find the calorie density (D) in calories per ounce of food that contains c carories and weight w ounces is given by D=C/w
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If a jet can travel 600 mph, how long in second will it take the jet to travel 5 miles?
We can also indicate a strict mathematical/formula definition for absolute value. It is, It tells us to look at the sign of p & if it's positive we just drop the absolute
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