Calculus question

Save Your work has been saved!_(Back to Admin Page) #10: (3 points Childsmath, 7 points Crowdmark) Consider the following function and its first derivative: f(x) = 0.05e2*(x2 - 10x+ 19) and f'(x) = 0.1e2*(x2 -9x + 14). (a) Show that f(x) has exactly two critical points. Show all of your work for (a) on Crowdmark and copy the x-values for each critical point in the first box below, separating them with a comma. (b) Determine the absolute minimum value (y-coordinate) of f(x) on the interval [-3, 3]. If using a theorem from class, clearly identify any assumption(s) and conclusion(s). Show all of your work on Crowdmark. Copy your final answer to (b) in the second box below, rounded to 3 decimal places if rounding is required. #10(a): 2,7 1 #10(b): Save Your work has been saved!_(Back to Admin Page). n #11: (2 points childsmath, 8 points Crowdmark) A population P of zooplankton at time t can be modelled by the following relationship