Below is a partial table of values of {{MATH_3}}. {{MATH_4}} {{CMD_5}} Compute the average rate of change of the population during the time interval {{MATH_6}}. {{CMD_7}} Recall, the average rate of change of the population during the time interval {{MATH_8}} is given by the expression {{MATH_9}}. {{CMD_10}} The average rate of change of the population during the time interval {{MATH_11}} is {{MATH_12}} million cells per week. {{CMD_13}} {{CMD_14}} Suppose that the function {{MATH_15}} is continuous on {{MATH_16}} and differentiable on {{MATH_17}}. Then on the interval {{MATH_18}} the function {{MATH_19}} {{CMD_20}}{{CMD_21}}satisfies{{CMD_22}}{{CMD_23}}does not satisfy{{CMD_24}}{{CMD_25}} the conditions of the Mean Value Theorem so {{CMD_26}}{{CMD_27}}there exists{{CMD_28}}{{CMD_29}}there does not necessarily exist{{CMD_30}}{{CMD_31}} a {{MATH_32}} such that {{MATH_33}} equals the above calculated average rate of change of the population.