1. For what values of x is the function y = x1: : (a) continuous? 4 - x2 for x 2 Find the values of a and b which would ensure that f (x) is continuous. 3. Find the equation of the line that is inclined at 30 to the positive x-axis and passes through the point (0,2). 4. Find the equations of the tangents to the curve 3: = x2 4x at the points where the curve cuts the x-axis. Where do the tangent lines meet? 2. A particle P moves along a straight line for 8 seconds, starting at the fixed point S at time t = 0. At time t seconds, P is x(t) metres to the right of S. The graph of x(t) is shown in the diagram. x (a) At approximately what times is the velocity of the particle equal to 0