2. Sketch the unique triangles that can be made with angle measures \( 40^{\circ} \) and \( 100^{\circ} \) ar side length 3. How do you know you have sketched all possibilities?

Considera la función \( f(x)=\left\{\begin{array}{ll}x^{2}+1 & \text { si } x \neq 2 \\ 3 & \text { si } x=2\end{array}\right. \). ¿Es continua la función en \( x=2 ? \)

Subtract. \( \left(x^{3}-y^{3}\right)-\left(-3 x^{3}-x^{2} y+x y^{2}+6 y^{3}\right) \) \( \left(x^{3}-y^{3}\right)-\left(-3 x^{3}-x^{2} y+x y^{2}+6 y^{3}\right)=\square \)

Multiply. \[ (b-3)(6 b+7) \] Simplify your answer.

Sea \( T: \mathbb{R}^{3} \longrightarrow \mathbb{R}^{3} \) definida por \( T\left[\begin{array}{c}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}2 y-4 z \\ 7 z-2 x \\ 4 x-7 y\end{array}\right] \) entonces la imagen de \( T \) es el plano con ecuación \( a x+b y+c z=0 \) donde: Seleccione una: a. \( a=7, b=4, c=2 \) b. \( a=-2, b=7, c=2 \) c. \( a=6, b=-3, c=2 \) d. \( a=7, b=4, c=-2 \)

Find the product. \( \left(2 x^{2} y\right)\left(11 x^{4} y^{3}\right) \) \( \left(2 x^{2} y\right)\left(11 x^{4} y^{3}\right)=\square \) (Simplify your answer.)