Nothalia tiehe un tefreho de formin driahsular cohaltala de 1.680 my base de 5.662 hd clabes el ayea del tertehe de Nathalia

4. En déduire pour quelles valeurs de \( x \), les fonctions \( f \) et \( g \) suivantes sont- elles définies : \( f(x)=\sqrt{12 x^{3}+2 x^{2}-8 x+2} \quad \) et \( \quad g(x)=\frac{3}{\sqrt{12 x^{3}+2 x^{2}-8 x+2}} \)

prove \( K_{i j}^{\prime} A_{j}^{\prime}=B_{i}^{\prime}=a_{i k} B_{k} \) Where aik \( =\frac{\partial x_{i}^{\prime}}{\partial x_{k}} \)

a) Considere los siguientes puntos en coordenadas rectangulares \[ P_{1}\left(-\frac{5 \sqrt{2}}{2}, \frac{5 \sqrt{2}}{2}\right) \text { y } P_{2}\left(\frac{3 \sqrt{3}}{2}, \frac{3}{2}\right) \] iii) Verifique que distancia entre \( Q_{1} \) y \( Q_{2} \) es igual a la distancia entre \( P_{1} \) y \( P_{2} \)

The maximum force exerted onto a 51.2 k chair at rest is 316 N due to static friction. What is the coefficient of static friction?

14. Magazine Kiosk. The rent on a magazine kiosk is \( \$ 225 \) per month, and the kiosk is open 6 days per week. Suppose that the selling price of each magazine is \( \$ 2.50 \), and the wholesale cost of a magazine when purchased by the retailer is \( \$ 1.00 \). (a) If the kiosk owner needs to make a profit of \( \$ 1,200 \) per month, how many magazines must he sell every day? (b) What profit would the owner make if he sells 900 magazines per month?