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Starting from dx/dt = -axt.                                We treat dx and dt as infinitessimal factors of x and t, therefore fundemental mathematical operations still apply. Rearranging the equation to g...

The product rule is useful when you’re dealing with a function comprised of two functions multiplied together. Generally, if you have a function of the form y = f(x)g(x), then the derivative of the functi...

intergrate y with respect to x between x=0 and x=2. remove 3 from the numerator, take outside intergration intergrate normally answer = 3

A curve crosses the x-axis when y=0, if we put that into the equation above we get the quadratic equation 0=8-4x-2x². The solutions to this equation are the values of x where y=0, which is the ...

A stone, of mass m, falls vertically downwards under gravity through still water. At time t, the stone has speed v and it experiences a resistance force of magnitude lmv, where l is a constant.  QUESTION:...