Calculus 1
Need just the last answer :
1-
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = 4 + 1/3x − 1/2x^2
x= ?
2-
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = x^3 + 3x^2 − 189x
x=?
3-
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = 8x3 − 12x2 − 144x
x=?
4-
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = x^5 e^−7x
x=?
5-
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = 16 + 2x − x^2, [0, 5]
absolute minimum value =?
absolute maximum value =?
6-
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = x/x^2 − x + 25
, [0, 15]
absolute minimum value =?
absolute maximum value =?
7-
f(x) = x^5 − x^3 + 4, −1 ≤ x ≤ 1
(a) Use a graph to find the absolute maximum and minimum values of the function to two decimal places.
Maximum =?
Minimum =?
(b) Use calculus to find the exact maximum and minimum values.
Maximum =?
Minimum =?
8-
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function
C(t) = 4(e−0.4t − e−0.6t)
where the time t is measured in hours and C is measured in µg/mL. What is the maximum concentration of the antibiotic during the first 12 hours? (Round your answer to four decimal places.)
………………….? .µg/mL
