Question

2. (4 points) Consider the function V g(x), where gx)- x(6- 2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an open box in cm3, where x must be between 0 and 3 cm. Determine the maximum volume of the open box in cm3. Round your answer to two decimal places. Also, indicate or show what process you used to obtain this answer. (Hint: graphing) 3. (5 points) Suppose that 200 fish are introduced into a protected lake. The fish population can be approximated by P(t) 20140, with t into the lake. Write the equation of the horizontal asymptote for this function. Also, interpret what this asymptote means in the context of the problem (in terms of the fish population and the number of years since the fish were introduced into the lake. P(t)=10. approximated by , with t being the time in years since the fish were introduced

Answer 1

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