CAPE Pure Mathematics Unit 1 · May/June 2010 · Paper 1 · Question Q43

At time t years, the growth of a certain country's gross national product, G, is given by the equation \frac{\mathrm{d}G}{\mathrm{d}t} = 5 + \cos t. At the beginning of the year 1990, the gross national product was recorded as \732$ million. The estimated gross national product at the beginning of the year 2000 was

1. (A)\int_{732}^G \mathrm{d}G = \int_0^9 (5 + \cos t)\,\mathrm{d}t
2. (B)\int_{732}^G \mathrm{d}G = \int_0^{10} (5 + \cos t)\,\mathrm{d}t
3. (C)\int_{732}^G \mathrm{d}G = \int_1^9 (5 + \cos t)\,\mathrm{d}t
4. (D)\int_{732}^G \mathrm{d}G = \int_1^{10} (5 + \cos t)\,\mathrm{d}t