Compute the work done by the force field \( F=\langle y, 0, z\rangle \) along the triangle from \( (0,0,0) \) to \( (2,3,4) \) then to \( (2,3,0) \) and then back to \( (0,0,0) \). \( W=\square \)

Evaluate: \( \lim _{x \rightarrow 0} \frac{x-\sin x \cos x}{x^{3}} \) \( \begin{array}{llll}\text { (a) } 0 & \text { (b) } 1 & \text { (c) } \frac{3}{2} & \text { (d) } \frac{2}{3}\end{array} \)

Evalute: \( \lim _{x \rightarrow 0} \frac{\sin a x}{\sin b x} \) \( \begin{array}{llll}\text { a) } 1 & \text { b) } \frac{a}{b} & \text { c) } 0 & \text { d) } \frac{b}{a}\end{array} \)

\( \int _ { 1 } ^ { + \infty } \frac { 1 } { x ( x + 1 ) } d x = \ln ( 2 ) \)

\( f(x)=-2 x^{2}-x+3 \) Intervalo \( [-3,2] \)

Evalute: \( \lim _{x \rightarrow 0} \frac{\sin a x}{\sin b x} \) \( \begin{array}{llll}\text { a) } 1 & \text { b) } \frac{a}{b} & \text { c) } 0 & \text { d) } \frac{b}{a}\end{array} \)