Cambridge Past Paper Questions

A curve C has parametric equations x = 3cos(t) + 2, y = 4sin(t) - 1, for 0 ≤ t < 2π. (b) Hence, sketch the curve C, clearly indicating the coordin...

With respect to a fixed origin O, the lines L₁ and L₂ are given by the equations: L₁: r = ⟨1, 2, -1⟩ + λ⟨-2, 1, 3⟩ L₂: r = ⟨-1, 1, 4⟩ + μ⟨0, 1, -1...

With respect to a fixed origin O, the lines L₁ and L₂ are given by the equations: L₁: r = ⟨1, 2, -1⟩ + λ⟨-2, 1, 3⟩ L₂: r = ⟨-1, 1, 4⟩ + μ⟨0, 1, -1...

The value, V, of a product, t years after it was launched, is modelled by the differential equation dV/dt = kV/(t + 1), where k is a constant. Giv...

The value, V, of a product, t years after it was launched, is modelled by the differential equation dV/dt = kV/(t + 1), where k is a constant. Giv...

The value, V, of a product, t years after it was launched, is modelled by the differential equation dV/dt = kV/(t + 1), where k is a constant. (c)...

Use the substitution u = sec(x) to show that ∫tan(x)secⁿ(x) dx = (secⁿ(x))/n + C for n ≠ 0.