Exercise 5: A team of IT security specialists analyzed the frequency of cyber attacks on a...

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Exercise 5: A team of IT security specialists analyzed the frequency of cyber attacks on a university's network on a given day and were able to model the average number of attacks A(t) per hour at time t using 10 A(t) = 15.31 +1.741t2 - 0.0741t 3 + 0.0061t4 - 13.7t1/2 a) Given the graph of the function, draw a rough sketch of the graph of the derivative of A(t) and determine the correct order of the following, from lowest to highest: A'(2), A'(5), A'(12), A'(18) b) Briefly explain what the dashed line on the graph represents and how it is related to the function A(t). c) Calculate A(6) and A(16) and explain what the results represent in terms of the model. Round your answers to the nearest integer. d) Determine A'(t). e) Evaluate A'(6) and A'(16) and briefly explain what the results mean in terms of the model. Round your answers to two decimals. g 0 x 23 850 (10, 47053) time of day (h) Exercise 5: A team of IT security specialists analyzed the frequency of cyber attacks on a university's network on a given day and were able to model the average number of attacks A(t) per hour at time t using 10 A(t) = 15.31 +1.741t2 - 0.0741t 3 + 0.0061t4 - 13.7t1/2 a) Given the graph of the function, draw a rough sketch of the graph of the derivative of A(t) and determine the correct order of the following, from lowest to highest: A'(2), A'(5), A'(12), A'(18) b) Briefly explain what the dashed line on the graph represents and how it is related to the function A(t). c) Calculate A(6) and A(16) and explain what the results represent in terms of the model. Round your answers to the nearest integer. d) Determine A'(t). e) Evaluate A'(6) and A'(16) and briefly explain what the results mean in terms of the model. Round your answers to two decimals. g 0 x 23 850 (10, 47053) time of day (h)