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Step one: As the fractions are mixed fractions we need to convert them into top heavy fractions to multiply. 2 3/4 is equivalent to 11/4 ( as 2 3/4 = 4/4 + 4/4 + 3/4 = 11/4). 1 1/2 is equivalent to 3/2 (a...

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...