1)

dN Suppose N(t) denotes a population size at time t where the E = 0.02N[1']. If the population size at time t = 4 is equal to 10:), use a linear approximation to estimate the size ottne population at time t = 4.1. L(4.1) = Suppose t) is the weight (in grams) ofa solid sitting in a beaker of water and the solid is dissolving at a rate {in gramsiminute) of f'(t} = 1f(t)(4 + t". If there is 3 grams of solid at time t = 2 minutes: use a linear approximation to estimate the solid's weight 1 second later. Answer: grams