Heres the problem: New York Harbor Patrol has firefighting boats with water cann
ID: 3094217 • Letter: H
Question
Heres the problem:New York Harbor Patrol has firefighting boats with water cannons.The path of the water shot out of the cannons can be modeled by thefunction y = -0.0035(x - 71.95)2 + 18.12where x is the horizontal distance traveled and y is the height ofthe water.
a.) How far does the water cannon shoot the water?______________________
b.) What is the maximum height of the weight?_______________________
Explanation / Answer
Heres the problem: New York Harbor Patrol has firefighting boats with water cannons.The path of the water shot out of the cannons can be modeled by thefunction y = -0.0035(x - 71.95)2 + 18.12where x is the horizontal distance traveled and y is the height ofthe water. a.) How far does the water cannon shoot the water?______________________ -0.0035(x - 71.95)2 + 18.12 =0 -0.0035(x2 - 143.9x +5176.8025) + 18.12 = 0 -0.0035x2 + 0.50365x - 18.12 +18.12 = 0 -0.0035x (x -143.9) = 0 x = 143.9 b.) What is the maximum height of the weight?_______________________ dy/dx = 0 => -0.0035*2*(x - 71.95) =0 -0.007 (x - 71.95) = 0 x = 71.95 ymax = -0.0035(71.95 - 71.95)2+ 18.12 = 18.12