2. Halle la ecuación de plano tangente a la superficie \( 2=y e^{x} \cos (z)-z \) por el punto \( (0,2,0) \). 3. Dé una parametrización de la curva \( x^{2}+\frac{y^{2}}{9}=4 \), si la misma se recorre tres veces en sentido antihorario.

1. \( y=\left(x^{2}+2 x\right)^{x^{2}-2 x} \) ise \( \frac{d y}{d x}= \) ?

A particle \( P \) moves in a straight line so that, \( t \) seconds after passing a fixed point \( O \), its displacement, \( s \) metres, is given by \( s=4 t^{3}-15 t^{2}+18 t \). Find (i) the velocity of \( P \) when \( t=3 \), (ii) the acceleration of \( P \) when \( t=3 \), (iii) the values of \( t \) when \( P \) is at instantaneous rest, (iv) the distance travelled by \( P \) in the first 2 seconds of its motion, (v) the distance of \( P \) from \( O \) when \( t=2 \).

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

nctions from the first principle. (c) \( \sqrt{1+x} \)

\( \int \frac { d x } { x ^ { r } + 4 x + 11 } \)