Question 5, 5.1 .37-LS ) HW Score: 94.64%, 7.57 of 8 points Homework: Section 5.1 p2 Part40f5 @ Points: 0.57 oft A person is given an injection of 600 milligrams of penicillin at time t = 0. Let 1(t) be the amount (in milligrams) of penicillin present in the person's bloodstream t hours after the injection. Then, the amount of i penicillin decays exponentially, and a typical formula is f(t) = 600 e _ 0'6'. Complete parts (a) through (c) below. (a) Give the differential equation satised by f(t). f'(t)= 70.6fm (b) How much will remain at time t: 6 hours? Determine the correct process to nd how much Wlll remain at time t= 6 hours. Choose the correct answer below. "A- Evaluate f(6) = 600 e '0'6'6'. B. Evaluate f(6)= 0.6(6). C. Evaluate f'(t) = 0.6(6). D. Solve m): 0.6f(6) for f(6). The amount that remains after 6 hours is 16.4 milligram(s). (Type an integer or decimal rounded to one decimal place as needed.) (1:) What is the biological half-life oftwe penicillin (that is the time required for half of a given amount to decompose) in this case? Half the given amount of penicillin is ' - - / . ' Homework: Section 51 p1 Question 10I 5.1 37 LS HW Score. 95.71 0, 9 57 of 10 paints Part 4 of5 " 9 Points: 0.57 of 1 A person is given an injection of 500 milligrams of penicillin at time t: 0. Let f(t) be the amount (in milligrams) of penicillin present in the person's bloodstreamt hours after the injection. Then, the amount of i penicillin decays exponentially, and a typical formula is {(t) = 500 e _ Wt. Complete parts (a) through (c) below. (3) Give the differential equation satised by t(t). m) = 0.8f(t) (b) How much will remain at time t = 7 hours? Determine the correct process to nd how much will remain at time t= 7 hours. Choose the correct answer below. A. Evaluate f(7) = 0.8(7). B. Solve m) = 0.8f(7) tor f(7). - Evaluate 7) = 500 e ' 0'8\"). D. Evaluate m) = 0.8(7). The amount that remains after 7 hours is 1.8 milligram(s). (Type an integer or decimal rounded to one decimal place as needed.) (c) What is the biological half-life oft e penicillin (that is, the time required for half ofa given amount to decompose) in this case? Halt the given amount of penicillin is Question 9, 3.1.34 HW Score: 86.43%, 12.1 of 14 points Homework: Section 3'1 ' Part2 of2 ' @ Points: 0.5 oft _ 2 4 2 5 . . . . . v Q The graph of ye (x 2) (x + 2) Is shown to the right. Find the coordinates of the local maxtma and 1000 minima. Q . dy 2 3 2 4 2 Hint: a = 2x (x - 2] (x + 2) [9x 2] E X 2 O 2 Find the maximum points. ( O.47,541.31),(0.47,541.31) (Type an ordered pair using integers or decimals. Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed. Use a comma to separate answers, but do not use commas in any individual numbers.) Find the minimum points. (Type an ordered pair. using integers or decimals. Round the nal answer to two decimal places as needed. Round all intermediate values to two decimal places as needed. Use a comma to separate answers, but do not use commas in any individual numbers.)