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First, we need to draw a diagram, to understand the question more clearly. 
y = x^2 is a common curve, but to sketch y = 4x - x^2, we should factorise it, to find where it inersects...

Using conservation of momentum, m1u1 + m2u2 = m1v1 + m2v2, set m1 = 2kg, m2 = 3kg, u1 = 5m/s, u2 = -4m/s and v1 = -4m/s. Substitute these into the equation to get 25 + 3(-4) = 2*(-4) + 3*v2 10 - ...

Solve for x, between 0 and 360 degrees, 4cos² (x) + 7sin (x) – 2 = 0 The way to approach this problem is to understand th...

The equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the centre of the circle, and r is the radius. To condense our equation into this form we have to use the technique of completing the sq...

To find the turning points of a curve one must find the values of x which satisfy dy/dx = 0. To further determine what type of turning point this is you need to compute the second derivative with respect ...