2. La función \[ f(x)=\frac{\sqrt{x+34}+\sqrt{41-x}}{x^{2}-22^{2}} \] tiene como dominio el conjunto \[ [A, B) \cup(B, C) \cup(C, D] \] donde \( A<B<C<D \) son números reales. (a) Encuentre el valor de \( A \). (b) Encuentre el valor de \( B \). (c) Encuentre el valor de \( C \). (d) Encuentre el valor de \( D \).

The function \( f(t)=60,000(2)^{\frac{1}{40}} \) gives the number of bacteria in a population \( t \) minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

What is the direction of a vector with a horizontal component of 2 and a vertical component of -4 ?

Find an equation for the hyperbola described. Graph the equation. Center at \( (-1,-7) ; \) focus at \( (-1,-10) ; \) vertex at \( (-1,-9) \) Write an equation for the hyperbola. \( \square-\square=1 \) (Type exact answers for each term, using fractions as needed.)

Where is there a discontinuity / are there discontinuities (holes or asymptotes) in the rational function \( f(x)=\frac{x^{2}+3 x+2}{x^{2}-4} ? \) \( x= \) 0 \( x= \) 2 \( x= \) -2 \( x=2 \) -2 \( x=0 \) \( 2,-2 \) \( x \)

Determine the implied domain of the following function. Express your answer in interval notation. \[ f(x)=\sqrt{x}-9 \] Answer