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Firstly, we differentiate y = x²+7x+3 . This gives dy/dx = 2x+7.The minimum value occurs when dy/dx = 0. So find x and y when dy/dx=0. 2x+7=0 implies x= -3.5, which from the first equation mean...

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...

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...

escape volocity is the minimum volocity required for one object toescape the gravitationl feild of another.we find this by equating gravitional potental enegy and the kinetic energy of the object to 1/2 *...