The tensions T1, T2, and T3 in a simple framework are given by the equations: ST1 +5T2 +5T3 7.0 T1 + 2T2 +4T3 2.4 4T1 +2T2+OT3 = 4.0 Determine the tensions T1,T2, and T3 using Gaussian elimination.

During a 4th of July celebration, your cousin, Bubba, lights two different rockets off his 14 ft roof at the same time from the same place. he two rockets follow these trajectories: Rocket #1: y = -0.41 +² +15t+14 Rocket #2: y = -0.31 +² + 14t+14 Where Y is the height (in feet) of the rockets t seconds after launch. (a) Which rocket goes higher, and how much higher? O Rocket #1 O Rocket #2 This higher rocket goes Number feet higher than the other. (round to one decimal place) (b) When do the rockets hit the ground? Rocket #1 will impact the ground after Number Rocket #2 will impact the ground after Number (c) Will the rockets crash into eachother? o Yes o No The rockets will crash into eachother after Enter 0 if they do not crash into eachother seconds. (round to one decimal place) seconds. (round to one decimal place) seconds. (round to one decimal place).

The population of a species is modeled by the equation p(t)= -t4 + 72t2 +225, where t is the number of years. Find the approcimate number of years until the species is extinct.

Exercises: find the solutions of : 0 (0²-1) y = 8x cx Ⓒ (0²-30+2)y = 2x²= 1x² + 6x 3 - 3 (D²-1)y=7x²