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  1. G

    Volume Question - dN/dt = k(N-P)

    when t=5, V=A/4 1-e^(-5k)=1/4 e^(-5k)=3/4 when t=10 V=A(1-e^(-10k)) =A(1-e^(-5k)^2) =A(1-(9/16)) =7A/16 (7A/16)-(A/4)=3A/16 hence 3/16 filled
  2. G

    Teaching yourself mathematics

    Maths in Focus is (too) easy but the questions might be a good starting point if you have trouble grasping a particular topic. Other than that, Cambridge and Fitzpatrick are good as the others said - For whatever reason I found myself primarily using Fitzpatrick when I taught myself though.
  3. G

    Help: Geometrical Applications of Calculus

    Q2 P&=\text{ P rectangle +}\frac{\text{P circle}}{2} \\4&=x+2y+ \frac{x \pi }{2} \\y&= 2- \frac{x}{2} - \frac{x\pi}{4} \\ Area&=xy+\frac{\pi}{2}(\frac{x}{2})^2 \\ &=2x-\frac{x^2}{2}-\frac{x^2\pi}{4}+\frac{x^2\pi}{8} \text{ (subbing in y and multiplying through by x)} \\&=2x-\frac{x^2}{2}-...
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