Asecond order ivp and its solution are given below. differentiate the solution and then plug initial conditions into the solution and its derivative to generate a system of two linear equations in the two unknowns c_1 and c_2. solve the system for c_1 and c_2. y" - 25y = 0 y(0) = 10 y'(0) = 20 y(x) =20 y(x) = c_1e^5x + c_2 e^-5x

In the triangle abc< angle c is a right angle. find the value of the trig function indicated. find tan a if a =12, b=5 a. 13/12 b. 12/13 c. 5/12 d.12/5

For which rational expression is -2 an excluded value of x?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: