TALLER DE CALCULO Identifica si se trata de una inecuación de primer grado escribe al frente si o no y por qué. \( \begin{array}{ll}5-x>2 x+1 & -4 x \leq 12 \\ X-3 \leq 5 & -2 x<16 \\ x+5<12\end{array} \)

he length (in pages) of math research projects is given elow. Using this information, calculate the range, ariance, and standard deviation. \[ 19,16,34,11,29,24,16,299,21 \] ange \( = \) ariance \( = \) tandard deviation =

You deposit \( \$ 2000 \) in an account earning \( 6 \% \) interest compounded continuously. How much will you have in the account in 15 years?

Use the product rule to simplify the expression. \( z \cdot z^{6} \cdot z^{7} \)

Suppose that \( c(x)=3 x^{3}-18 x^{2}+24,000 x \) is the cost of manufacturing \( x \) items. Find a production level that will minimize the average cost of making \( x \) items.

4) Uma escada encostada em um ediflcio tem seus pés afastados a 50 m do edificio, formando assim, com o plano horizontal, um Ângulo de \( 32^{\circ} \) A altura do ediffcio é aproximadamente \( \begin{array}{llll}\text { A) } 2841 \mathrm{~m} & \text { B) } 29,87 \mathrm{~m} & \text { C) } 31,24 \mathrm{~m} & \text { D) } 34,65 \mathrm{~m}\end{array} \)