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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".]
Solve A= P (1 + rt ) for r. Solution Here is an expression in the form, r = Equation involving numbers, A, P, and t In other terms, th
The sum of the ages of Dorothy and Dona is 41. In 5 years, Dorothy will be twice as old as Dona. Find their age 3 years ago.
if a=3 b= 1/2 c=5 f(x)= ab over c g(x) (a=b)c f (g(x))
what is the slope of x+y=5 and x-y=3
can u show me how to solve this (5x+14)-(3x-5)
Activity 1: Graphing To fill an order for Sizzlin'' Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers. • Write and graph a system of inequalities to represent
The sum of digits of a number is 9 If the digits of the number are reversed the number increases by 45 What is the original number?
HOW TO PROGRAM QUADRATIC EQUATIONS, INEQUALITIES AND FUNCTIONS INTO A TI 84 PLUS C SILVER EDITION
P=positive N=negative whats a negative - negative p+n= n-n=
7a + 6b = 14 -7a + b =35 solve by the elimination method
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