3:41 AM Wed Nov 1 0 95% DEL Homework G taking any actic X stemble X [Solved] Suppox m https://uottawa X G what is absolut X Al Homework H X + uottawa.mobius.cloud 7 . . Help I Adedoyin Adeleke mobius u Ottawa MAT1330[E] Calculus Life Sciences | [LEC] 20239 / Homework 6 MAT1330 Homework 6 MAT1330 Remaining Time: 144:22:03 Question 6 Consider the function given by f (2) = 23 e-4x 1 point Determine the absolute maximum value and absolute minimum value of f over the interval [-1/2, 1] . How Did I Do? FORMATTING: Give your answer with an accuracy of at least 3 decimal places. Minimum value = Number Maximum value = Number Submit Assignment Quit & Save Back Question Menu Next4:04 AM Wed Nov 1 088% stemble [Solved] Suppox m https://uottawa X G what is absolut X Course Hero X Mathway | Alge X G e^-4x = 0 - Go X + uottawa.mobius.cloud O 9 . . . Homework 6 MAT1330 Remaining Time: 143:59:16 Question 2 When a patient takes a drug, the drug concentration in the blood initially increases quickly, and then declines. A function that describes this behaviour is y(t) = te-. where t 2 0 is the time in hours after the drug is taken. To determine how long it 2 points takes after the patient takes the drug to reach the maximal concentration and what that maximal concentration is, answer the following questions. How Did I Do? a) Compute the derivative of y. Answer: y' (t) = (e b) Find the positive critical point p of y. Give an exact answer. Answer: p = c) Complete the following table Range of t Behaviour of y 0p Click for List d) True or false: you can conclude from the previous table that y has a global maximum on (0, co) at p. O True O False e) At what time is the maximal concentration reached and what is this maximal concentration? Give your answers with an accuracy of two decimal places. Answer: The maximal concentration of Number is reached at Number hours. Submit Assignment Quit & Save Back Question Menu - Next4:04 AM Wed Nov 1 . . 0 88% uottawa.mobius.cloud Question 3 The size of a population of bacteria (in average number per dish) introduced to a certain nutrient can be described by over time measured in hours by 2 points N (t) = 5, 300 + 31, 000t 110 + +2 How Did I Do? To find the maximum size of this population for t 2 0, answer the following questions. a) Compute the derivative of N. Answer: N'(t) = ((31000)(110+ t^(2))-(31000t)(2t))/(110+t^(2))^(2) b) Find the positive critical point p of N. FORMATTING: Give its exact value. Answer: p = c) Complete the following table by choosing the appropriate phrase for each item from the drop-down menu. Range of t Behaviour of N 0p Click for List d) From this table, you can conclude (select the best answer): O that IV has a local and global maximum at p that /V has a global maximum at p, but we don't know if it is a local maximum O that NV has a local maximum at p, but we don't know if it is a global maximum none of the above e) What is the maximum average number of bacteria per dish when does it reach this maximum size? FORMATTING: Give your answers with an accuracy of two decimal places. Answer: The maximum average population per dish of |Number is attained when t = Number Submit Assignment Quit & Save Back Question Menu Next4:05 AM Wed Nov 1 0 88% stemble [Solved] Suppox m https://uottawa X G what is absolut X Course Hero X Mathway | Alge X G e^-4x = 0 - Go X + uottawa.mobius.cloud 0 9 . . . Help I Adedoyin Adeleke mobius u Ottawa MAT1330[E] Calculus Life Sciences | [LEC] 20239 / Homework 6 MAT1330 Homework 6 MAT1330 Remaining Time: 143:58:58 Question 5 Consider the function defined by f (2 ) = Vac4+ 48 -. 2 points 6 FORMATTING for this question: If there is more than one answer, separate them with a semi-colon (;). If there are none, write none. Give exact values. (a) Provide a list of all the critical numbers of f . x = 0;2; 2sqrt(3) (b) Provide a list of all the local minima of f a = None (c) Provide a list of all the local maxima of f. a = 2 Submit Assignment Quit & Save Back Question Menu Next