La función Yh \( = \) C1 \( e^{0.66 x}+ \) C2 \( \boldsymbol{e}^{0.25 x} \) es solución de la siguiente ecuación \( 12 y^{\prime \prime}-5 y^{\prime}-2 y=0 \) verdadero Falso

Determine the distance traveled by a particle moving along the curve \( y = \sin(x) \) from \( x = 0 \) to \( x = \pi \).

Hallar y' de \( y=4 x^{7} \)

The area of a rectangular cross-section of a solid is given by the dimensions in terms of a linear function: width = \(x\) and height = \(3 - x\) for \(0 \leq x \leq 3\). Calculate the volume of the solid when these rectangles are stacked from \(x=0\) to \(x=3\).

\( f ( x ) = x ^ { 3 } - 4 x ^ { 2 } \rightarrow f ( 0 ) , f ( 1 ) , f ( - 1 ) , f ( \frac { 3 } { 2 } ) \)

- Derivative of \( \tan x \) Solution