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In order to find the antiderivative of the function we're given, we first have to study the general structure of the function. This function consists of a sum between cos(2x) and 5. Therefore, we have : F...

A stationary point occurs when the first derivative of the function = 0. The first derivative of f(x) is df(x)/dx = 3x^2 - 27Setting this to zero gives 3x^2 - 27 = 0 -> x = +/- 3
To find whether i...

the differential of a function y=2x^3 is the rate of change of that function. finding the differential is done by following the steps below:1) bring down the power of the x term and multiply it by the ter...

Upper bound of Peter's height = 185cmLower bound of Peter's height = 175cmUpper bound of Alice's height = 155cmLower bound of Alice's height = 145cmFor the upper bound of the difference, we want the upper...

53 x 6 = 318320-318 = 2There are not enough coaches for the amount of people. 2 people would not be on a coach. 7 coaches are needed to ensure everyone has a seat on a coach.