1. Question 1 Integration

2. Question 2 Integration

3. Question 3 Integration

4. Question 4 Integration

5. Sea Defence Quadratic equations O x metres h metres The diagram shows a cross-section of a sea defence wall. Distance from O, x metres0158910 Height of structure, h metres01214340 The table give values for its vertical height at distance x metres from O. A model for these values could be: y = m 1 x + c 1 0 ≤ x ≤ 1 y = m 2 x + c 2 1 ≤ x ≤ 5 y = p x 2 + q x + r 5 ≤ x ≤ 9 y = m 3 x + c 3 9 ≤ x ≤ 10

6. Sea Defence Quadratic equations Find suitable values for p, q, r, m 1, m 2, m 3 and c 1, c 2, c 3 Explaining your reasoning. Describe how the curved part of the sea defence is related to the basic quadratic function, y = x 2 Explain algebraically why the minimum depth of the sea defence is 3m. Describe the change in the gradient of the top of the cross ‑ section of the sea defence. Calculate the volume of concrete used to construct a 1km stretch of the sea defence wall assuming a constant cross section.