For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and \( c \) ) the open intervals where it is decreasing. \( f(x)=\sqrt{x^{2}+9} \) a) Find the critical number(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no critical numbers.

MAS182 - Applied Mathematics 13. Final Examination - S1 2021 The water content \( W(t) \) (measured in grams) in the cheese is governed by the differential equation \[ \frac{d W}{d t}=-(W-100)^{2} \] with initial condition \( W(0)=200 \mathrm{~g} \) and time is measured in hours.

Decide whether the following statement is true or false. The cube function is odd and is increasing on the interval \( (-\infty, \infty) \). Choose the correct answer below. False True

asymptotes of \( f \).

Proporre un esempio di funzione \( g(x) \) tale che \[ \lim _{x \rightarrow+\infty} \frac{g(x)}{3 \log ^{2} x+1}=+\infty \]

\( ( e ^ { x } - \sin y ) d x + ( \cos y ) d y \)