Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?

A block has mass 530 g (to the nearest 10 g) and volume 9 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 530 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Use the iteration x(n+1) = cube root of (9x(n) + 8) with x(0) = 3. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 5, y = 175. Work out the positive value of x when y = 448.y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 448.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.