7) 324767

Calcule la derivada implicita de las siguientes funciones. \[ e^{x y}+x=\operatorname{sen}(y) \]

Find the value of \( k \) that makes \( f(x) \) continuous at \( x=-1 \) \[ f(x)=\left\{\begin{array}{ll}\frac{x+1}{x^{2}+3 x+2} & \text { if } x \neq- \\ k & \text { if } x=-\end{array}\right. \] \( k=\square \)

1) Resuelva la derivada por definición de límite \( \left(f^{\prime}(x)=\frac{f(x+h)-f(x)}{h}\right) \) la siguiente función \( 5 x^{2}-x+3 \)

I.- Resuelve las siguien a) \( (+72)+(-31)= \)

Francisco and his mother bought some fruit yesterday. They bought \( 2 \frac{1}{2} \) pounds of peaches, \( \frac{7}{10} \) of a pound of raspberries, and \( 1 \frac{1}{4} \) pounds of apricots. How many pounds of fruit did they buy in all? Show all your work.