x? = x(0.1? 0.004x ? 0.001y) , y? = y (0.05 ? 0.001x ? 0.001y) , x (0) = 2, y (0) =1

For the systems of differential equations, use Euler’s method with ?x = 2 to plot the trajectory of x and y to plot the trajectory for 0 ? t ? 500.


x (500) ? 16.66914, y (500) ? 33.3266

Mathematics

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B.
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Find the rational number halfway between the two given rational numbers.

A.
B.
C.
D.

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A. If 5 divides the counting number, then 10 divides the counting number. true B. If 5 divides the counting number, then 10 divides the counting number. false C. If 10 divides the counting number, then 5 divides the counting number. false D. If 10 divides the counting number, then 5 divides the counting number. true

Mathematics

Approximate the circumference of the circle using 3.14 as an approximation for ?.

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Mathematics