Search over 10,000 free study notes

know to differentiate to find the gradient of the tangent: y=2x³+3, dy/dx= 6x²When x=-2, dy/dx= 24When x=-2, y=2(-2)³+3, y= -13equation of a tangent is y=mx+c, where y=-13...

for the x coordinate; 4+(-2)=2 divide by two to find where midpoint between the two x coordinates 2/2=1for the y coordinate; 9+1= 10divide by 2 to find the midpoint between the two y coordinates 10/2=5the...

Think of 2 numbers that will add up to give you 8 and mutiply to give you 155 and 3!(X+3)(X+5)=0Anything multiplied by 0=0 so the trick is to make each bracket be equal to 0X+3=0Therefore X=-3X+5=0Therefo...

I would first isolate x in the first equation in the left hand side (x = 2 + 2y). Then I would replace the x in the second equation with the right hand side of the first equation, making the second equati...

2(x²) - 2x - 12= 2( x^2 - x - 6)The constant is negative so the 2 factors must have opposite signs. Then, the x term is negative so the larger one must be negative, and the smaller one positive...