Nick and Pam are paid \( \$ 61.75 \) for their work. Nick worked 3.5 hours, and Pam worked 3 hours. They split the mone according to the amount of time each of them worked. How much is Nick's share of the money? Explain. Nick and Pam are paid \( \$ \square \) for each hour worked. Nick's share of the monev is \( \$ \square \)

\( f(x)=\frac{4 x^{2}+5 x+29}{\sqrt{x}} \), find \( f^{\prime}(x) \) \( (x)=\square \)

There are \( 71 / 2 \) pounds of bricks in a bag. Each brick weighs \( 21 / 2 \) pounds. How many bricks are in the bag? Write your answer as a fraction or as a whole or mixed number.

1. \( \int x^{3} e^{x^{2}} d x=\quad \) (Sugerencia: Sea \( x^{2}=\mathrm{t} \) ) 2. \( \int t^{3} e^{2 t} d t= \) 3. \( \int \frac{500 \ln (x+20)}{(x+20)^{2}} d x= \) 4. \( \int x^{3} \ln x d x= \) 5. Verificar los puntos 1 y 2 por el método tabular. Nota: El taller tiene un valor de 15 puntos. > Enviar a campus virtual en asignaciones. D Elegir un estudiante del grupo para enviar el producto.

Antes del año 2010 las placas patentes los vehículos constaban de dos letras y uatro dígitos. ¿Cuántas placas patentes de automóvil se pueden hacer con esta ondión? (considere 26 letras).

Use the distributive property to remove the parentheses. \[ (w+11) 8 \]