The area of a square with side s is A(s) = s. What is the rate of change of the area of a square with respect to its side length when s = 9? Question Help: Message instructor Submit Question Question 2 0/1 pt 100 99 Details The population of a slowly growing bacterial colony after t hours is given by p(t) = 5t + 27t + 200. Find the growth rate after 3 hours. bacteria/hour Question Help: Message instructor Submit Question Question 3 0/1 pt 100 99 Details It is estimated that months from now, the number (in thousands) of out-of-state cars on a ferry system will be given by the function N(x) = 12 + 11r. A) Find a simplified expression for the rate at which the number of out-of-state vehicles will be changing with respect to time 2 months from now. The rate of change expression is N'(x) =| B) What is the exact rate of change of the number of out-of-state vehicles 2 month(s) from now? The rate of change is thousand cars per month. (Your answer may be negative.) Question 4 0/1 pt 100 99 Details If f is the (constant) focal length of a convex lens and an object is placed at a distance p from the lens, then its image will be at a distance q from the lens, where f, p, and q are related by the lens equation 1 1 1 f p What is the rate of change of p with respect to q if q = 2 and f = 7? (Make sure you have the correct sign for the rate.) Question Help: Message instructor Submit Question Question 5 0/1 pt 100 99 Details The cost of producing a units of stuffed alligator toys is C(x) = 0.003x + 7x+ 8000. Find the marginal cost at the production level of 1000 units. dollars/unit Question Help: Message instructor Submit Question Question 6 0/1 pt 100 99 Details In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the output (in millions of units) and y is the total cost (in thousands of pounds of sterling), then the cost function is similar to the following: C(x) = 0.03x + 2.25x + 14.34 Compute the marginal costs when x = 26 million units have been produced. The marginal costs at 26 million units is sign, if appropriate.) The proper units are: O Millions of units per thousands of pounds of sterling Sterling per unit Thousands of pounds of sterling per million units Units per sterling Question Help: Message instructor Submit Question (Enter a number only, including a negative