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Official 2019 Paper 1 · Q12

Paper 1Algebra

It is given that

dVdt=24π(t−1)(1+t)for t≥1\frac{\dd V}{\dd t}=\frac{24\pi(t-1)}{(1+\sqrt t)}\quad\text{for }t\geq1

and V=7V=7 when t=1t=1.

Find the value of VV when t=9t=9.

A208π+7208\pi+7
B216π+7216\pi+7
C224π+7224\pi+7
D416π+7416\pi+7
E608π+7608\pi+7
F744π+7744\pi+7

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