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(1.) Integrate the expression for acceleration to find an expression for velocity: Velocity v = t^2 - 3t + c        When t = 0, velocity = 2. Substituting in to find constant c, 2 = 0 + 0  + c therefore c...

 u = Cos(x³)

To differentiate this function we will use the chain rule. Firstly we will set x³  to another variable name such as v. So now v = x³ . Lets differentia...

This question uses a combination of standard differentiation and the product rule. The second part of the equation cos(x)sin(x) is the product of two funtions so the product rule must be used. Product rul...

When solving this quadratic inequality, we should use a three-step approach. The first step is to reformat the inequality to put one side equal to zero, which is the standard format of a quadratic equatio...

The trick here is to use a technique called the difference of squares. If we multiply the top and bottom of the fraction by the conjugate* of the denominator, we can remove any square root terms from the ...