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If line L is parallel to line A it will have the same gradient; in this case, the letter a in the equation y=ax+b represents the gradient. Therefore line L will be of the form y=4x+b. To find the value of...

 ∫(21x⁶-e^2x-1/x+6)dx

To tackle this question, I would do each part separately.

Firstly, take 21x⁶...using the product rule this intergrates ...

To differentiate this equation, treat it like you would any other equation you are differentiating without exponentials i.e. take each term on it's own and differentiate that individually, then put the an...

Here we have two simultaneous equations with two unknowns. In order to solve this, we must first elimate one of the variables. 

To do this we will first make the coefficient (the number b...

There's a handy trick for choosing which of the equations of motion, or SUVAT equations, you need to use given a set of terms – let’s call it the VUAST trick. For these kinds of questions, there are al...