An object is thrown upward at a speed of 135 feet per second by a machine from a height of 10 feet off the ground. The height of the object after \( t \) seconds can be found using the equation \( h(t)=-16 t^{2}+135 t+10 \). Give all numerical answers to 2 decimal places. When will the height be 261 feet? At When will the object reach the ground? When will the object reach its maximum height? What is its maximum height?

El diferencial del volumen en coordenadas cilindras es: \( \begin{array}{l}\text { a. } d V=\rho d \rho d \varphi d z \\ \text { b. } d V=r d r d \theta \\ \text { c. } d V=\rho^{2} \operatorname{sen} \theta d \rho \theta d \varphi \\ \text { d. } d V=\rho d \varphi d z\end{array} \)

23. Show that if \( y=\phi(x) \) is a solution of \( y^{\prime}+p(x) y=0 \), then \( y=c \phi(x) \) is also a solution for any value of the constant \( c \). 24. Let \( y=y_{1}(x) \) be a solution of

b. Si los dos parten del mismo punto y el camión de carga sale antes, con una ventaja de 120 km , ¿cuánto tiempo tardará el bus en alcanzarlo?

Question Find an equation for the line tangent to the graph of \( y=\frac{1}{3} \tan ^{-1}\left(\frac{1}{4} x\right) \) at the point \( \left(4, \frac{\pi}{12}\right) \), 2 What is the tangent line to \( y=\frac{1}{3} \tan ^{-1}\left(\frac{1}{4} x\right) \) at the point \( \left(4, \frac{\pi}{12}\right) \) ?

Factor the polynomial completely. If the polynomial is not factorable, select prime. \[ \begin{array}{l}81 r^{4}-256 \\ \text { Oprime } \\ \qquad\left(9 r^{2}+16\right)\left(9 r^{2}-16\right) \\ \\ \qquad \begin{array}{l}\left(9 r^{2}-16\right)^{2} \\ \left(9 r^{2}+16\right)(3 r+4)(3 r-4)\end{array} \\ \text { Need Help? Readit }\end{array} \]