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The initial mass is found by putting t=0 into the given equation, so the initial mass is 300g. When the mass has decreased to half its value, M=150g. This gives us 150=300e^-0.05t, so e^-0.05t=1/2. Natura...

They are two rules that are used when differentiating a derivative that has a product with two functions or a term where the one function is divisble by another.For example:f(X) = xe^xorf(x) = (2+4x)/x^2<...

A stationary point is where the gradient of a curve momentarily stops changing.Let's take the example that we want to find the stationary points of the curve y=2x^5 - 5x^2. Find the derivative of the equa...

3y-1=2y+4To find out what "y=" we need to get all the y values on one side of the equation, and the other numbers on the other side of the equation. We can do this by simply adding or subtractin...

any odd number can be written as (2n+1), where n is any integer (whole number). Squaring any odd number is therefore= (2n+1)² . expanding the brackets gives =4n²+2n+2n+1² ...