he height of a ball after being dropped from a point 10 feet above the ground is given by \( =-16 t^{2}+110 \), where \( t \) is the time in seconds ince the ball was dropped and \( h \) is in feet. Round all nswers to 2 decimal places, where necessary. a. When will the ball be 81 feet above the ground? After b. When wil the ball reach the ground? After c. For what values of \( t \) does the problem make sense (from a physical standpoint)? Answer in interval notation. sends.

(1) Find the value of: \( \quad \lim _{x \rightarrow 4} \frac{x^{3}-15 x-4}{x-4} \)

Show that \( \Gamma\left(\frac{1}{2}\right)=\sqrt{\pi} \)

3. \( \lim _{x \rightarrow \infty} \frac{x-1}{2 x+5} \)

If the slope of the tangent to the curve: \( y=f(x) \) at any point on it equals \( 6 x+a \), where \( a \) is constant if the equation of the tangent to the curve at the point \( (1,-1) \) is \( y=4- \) \( 5 x \), then the equation of the curve is ... \( \begin{array}{llll}\text { a) } y=3 x^{2}-4 & \text { b) } y=3 x^{2}-11 x+7 & \text { c) } y=3 x^{2}-4 x & \text { d) } y=3 x^{2}-x-3\end{array} \)

nction définie par \( f(x)=\frac{L}{x^{2}+1} \)