# 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*(

*) = 8*

*x*

*x*^{3}− 12

*x*^{2}− 144

*x*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.

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Maximum =?

Minimum =?

8-

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function

* C*(

*) = 4(*

*t*

*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

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