a) Check your differentiation. Your second term is wrong.

b) Evaluate

c) The statement "The normal to C at P is parallel to the line given by the equation y+4x-3=0" tells us that the derivative of y with respect to x at x = 5 is the negative reciprocal of the slope of the given line. So, find the slope of the line , invert it, negate it and equate this to .

i) Solve the resulting equation for .

ii) We are told thexcoordinate of pointPis 5, so to find they-coordinate evaluate .