Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?

Rationalise the denominator of 12/3, giving your answer in its simplest form.Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (7x(n) + 2) with x(0) = 2. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 512.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 512.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.