Part 2 20 points Desmos Although there isn't a square root regression function in excel, assume that this function below has been found to also show the path of a baseball. Use Desmos or a calculator to graph the function and answer the following questions. y = 0.0015261/202500 - x2 1. 5 pts Looking at the graph, what is the horizontal distance from home plate at which the ball would have hit the ground had it not hit the billboard. 2. 5 pts Graph either derivative function found in part 1 #3 in desmos. What is the x- intercept? When looking back at the excel graph, what is the estimated y-value at that x- value of the Regression line in Part 1? Interpret this value. 3. 5 pts Go back to the square root function in desmos. using the graph, estimate the point at which the graph has a horizontal tangent line. Interpret this point. 4. 5 pts Is the point you found in #3 approximately the same as the point you found in #2? Why or why not? Par! 3 1'0 points Actually, scoreboard operators in the major leagues use different models to predict the distance that a home run ball would have traveled. The models are linear and are related to the trajectory of the ball, that is how high the ball is hit. See below. 28" above horizontal Home Run Trajectories - 35" above horizontal 42" above horizontal 250 200 130 Towering Height (in feet) Medium 100 Low Obstruction 100 200 300 400 500 Distance (in feet) Suppose a ball hits an obstruction d feet horizontally from home plate at a height of H feet. Then the estimated horizontal distance D that the ball would have traveled, depending on its trajectory type is... Low trajectory D = 1.1H + d . Medium trajectory D = 0.7H + d Towering trajectory D = 0.5H + d Using the equations above, please answer the following questions. Use the graph pictured above to make sure your answers make sense. 1. 3 pts For a ball striking an obstacle at d = 400ft and H = 60ft, estimate how far a ball would have traveled following a low, medium and towering trajectory 2. 3 pts In 1953, Mickey Mantle hit a towering home run in old Griffith Stadium in Washington D.C., that hit an obstruction 60ft high and 460ft from home plate. Reporters asserted at the time that the ball would have traveled 565ft. Is this estimate valid? Why or why not?Derivatives Polynomial 3 4 =-,000005x5 +,0002x" + 0. 7806x +4.6048 x = -000015 * 2 +. 00 04 X + 0. 7806 Polynomial 4 4 = -.000 0 000 02 x 4 - .000003 * 3 -.0003 x 2 + 0.815 * + 4.3026 2 = 0000 0 0 0 08 * 3 -.0000 09 x 2 -.0006x +. 815