s. I used coordinate points and quadratic regression to produce a quadratic function of different volleyball sets. I now have the parabolas of each different function. I was going to use derivatives to find the velocity of each set. However, I am second-guessing myself. Do I need a displacement-time graph in order to calculate velocity? Right now I only have a function that displays the ball's flight path.
onnect a line between every two consecutive points (xi, yi) and (xi+1, yi+1), where 0 <= i <= n.
xi = s * ((a + b) * cos (i * PI) - b * cos ((a + b) / b * i * PI))
yi = s * ((a + b) * sin (i * PI) - b * sin ((a + b) / b * i * PI))
Verify with s = 10, a = 19, b = 5, n = 1000 to get this displayed result.
Note that the sin and cos trigonometry functions accept a radiant value not angle. For example, 30 degree should be replaced with PI/180*30 instead. Moreover, the divisions inside the functions need to be kept in double not int precision in order to render a correct result.
that models profit earned is D = n(54 – n) – 10n. I need to find the vertex of this equation, and what does the vertex tell me about this situation.. For what x-values is the function increasing? Decreasing? What does this mean in terms of daily profit for Water World? Rewrite the function in vertex form. . Solve the equation 0 = n(54 – n) – 10n for n. Describe your solution method. How are the solutions from part (e) related to the graph of this function? Are the solutions real or complex? How do you know? What do the solutions from part (e) tell you about this situation?