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3x+3y=5      6x+5y=9Multiply the first equation by 2 to get a workable x coefficient:6x+6y=10Write the equations above each other and subtract them:6x+6y=10                                                ...

By inspection we can tell that the line and the plane are not parallel. Since the dot product between the direction vector of the line with the perpendicular vector of the plane was not equal to 0 (i.e. b...

There are 2 handy ways of remembering how to do these questions, so I'll show you both and you can tell me which you like best. What's important to remember is to make sure you times everything in the fir...

Implicit differentiation can be used when you are asked to find dy/dx of a function that has not been written as y=f(x) e.g. y = x^2 - 1, and which cannot be rearranged as such. We can use the equation of...

The question is asking us to find the first derivative of the function (y) with respect to x terms.y = (3x -1)^10We start by taking the superscript 10 down to the front, and multiply this by the 3 (as per...