calculus-1-22

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−0.4te−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


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