Question 11 The side length of a square seat cushion is \( \sqrt{70} \) square inches. Determine whether the side length is rational or irrational. Then explain your reasoning.

Compute and simplify the difference quotient, \( \frac{f(x+h)-f(x)}{h} \), for \( f(x)=\frac{2}{x} \) \( \frac{f(x+h)-f(x)}{h}=\square \) Submit Answer

(27. \( \frac{2}{x^{2}+3}+\frac{4}{x^{2}+7}=1 \)

Find the critical values \( \chi_{1-\alpha / 2}^{2} \) and \( \chi_{\alpha / 2}^{2} \) for a \( 98 \% \) confidence level and a sample size of \( n=10 \). \( \chi_{1-\alpha / 2}^{2}=2.088 \) (Round to three decimal places as needed.) \( \chi_{\alpha / 2}^{2}=\square \) (Round to three decimal places as needed.)

vo 1: Aproxima el límite de la función \( f(x)=\frac{x^{3}-49}{x-7} \) cuando \( x \) tiende a 7 . vo 2: Evalúa la derivada de la función \( h(x)=\left(7 x^{2}+4\right)(3 x-6) \) en \( x=-1 \)

12. Use a calculator and the formula \( A=P e^{n} A= \) \( P e^{r t} \) to determine the value of an investment of