Which term of the AP: \( 71,66,61, \ldots \) is the first negative number? Which term of the AP: \( 45,41,37,33, \ldots \) is the first negative term?

\( y=x^{2}+3 x-10 \) and the \( x \)-axis.

Determinar \( d y / d x ; \operatorname{si} y=1-\cos (2 t) \) y \( x=1+\operatorname{sen}(t) \) a. \( 2 \operatorname{sen}(2 t) / \cos (2 t) \) b. \( \begin{array}{l}\operatorname{sen}(2 t) / \cos (t) \\ \text { c. } \cos (t) / 2 \operatorname{sen}(2 t)\end{array} \)

Solve the equation. Check your solutions. (Enter your answers as a comma-separated list.) \[ 2-\frac{5}{x}-\frac{3}{x^{2}}=0 \] \( x=\square \)

Culculate the area bounded by: 1. \( y=2 x+1 \), the \( x \)-axis, the \( y \)-axis and \( x=3 \).

\( x ^ { 3 } y ^ { 3 } + 12 x ^ { 4 } y ^ { 2 } + 0 - ( - 5 x ^ { - 6 } y ^ { - 2 } ) ^ { \prime } + ( - 2 x ^ { - 5 } y ^ { - 3 } ) ^ { \prime } + 12 y ^ { 2 } \)