Tiffany is a model rocket enthusiast. She has been working on a pressurized rocket filled with nitrous oxide. According to her design, if the atmospheric pressure exerted
on the rocket is less than 10 pounds/sq. in., the nitrous oxide chamber inside the rocket
will explode. Tiff worked from a formula
/10 14.7 h
p e


pounds/sq. in. for the
atmospheric pressure h miles above sea level. Assume that the rocket is launched at
an angle of α above level ground at sea level with an initial speed of 1400 feet/sec.
Also, assume the height (in feet) of the rocket at time t seconds is given by the
equation
   
2
y t t t    16 1400sin  . [UW]
a. At what altitude will the rocket explode?
b. If the angle of launch is α = 12°, determine the minimum atmospheric pressure
exerted on the rocket during its flight. Will the rocket explode in midair?
c. If the angle of launch is α = 82°, determine the minimum atmospheric pressure
exerted on the rocket during its flight. Will the rocket explode in midair?
d. Find the largest launch angle α so that the rocket will not explode.

What’s the domain of this function? fastttt

An angle that measures between 90 and 180° is called a(,

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).