Para estudiar la tasa con la que aprenden los animales, un estudiante de Psicología realizó un experimento en el que enviaba a una rata repetidamente a través de un laberinto. Suponga que el tiempo requerido para que la rata atraviese el laberinto en el n-ésimo intento era aproximadamente. \( T(n)=\frac{3 n+17}{n} \) El tiempo en minutos que tardará la rata cruzar el laberinto a medida que aumenta indefinidamente el número de intentos \( n \) es:

Find the average rate of change of \( g(x)=6 x^{2}+\frac{4}{x^{4}} \) on the interval \( [-4,4] \).

Parents have always wondered about the sex of a child before it is born. Suppose that the probability of having a male child was 0.5 , and that the sex of one child is independent of the sex of other children. What is the probability of having exactly 2 boys out of 7 children? Round your artswer to four decimal places.

Find the difference quotient \( \frac{f(x+h)-f(x)}{h} \), where \( h \neq 0 \), for the function below. \[ f(x)=5 x^{2}-3 \] Simplify your answer as much as possible.

Provide the correct IUPAC name for \( \mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq}) \)

Factor the following. \( 4 x^{2}-28 x+49 \)