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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".]
change radical to an algebraic express with fractional exponets 5^x to the 3 power.
Write this decimal as a percent. .35
5(8-2t)
the parking lot will have an area of 160 square meters.The shorter base is 4m longer than the height of the trapezoid,and the longer base is 8m longer than the height.What is the l
Given a polynomial P(x) along degree at least 1 & any number r there is another polynomial Q(x), called as the quotient , with degree one less than degree of P(x) & a number R, c
Maximise, p =168x+161y+158z+132w 475x+450y+440z+438w 250x+230y+220z+210w 119x+115.5y+114.8z+112.25w 160x+50y+120z+50w 12x+8.8y+7.4z+5.3w x >=4
I know im not in the exact grade yet but i would like to know how it works to be ahead of time
y2/3(y4/3\y1/3
Sabrina invested 1500000 in stocks and bonds.Her investment in bonds is 5000 more than half her investment in stocks.How much did she invest in each ?
How do you solve the problems?
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