Solving Curve Function: Intercepts, Parabola Help

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The discussion revolves around determining the quadratic function based on given intercepts and understanding integration for area calculations. The y-intercept is specified as 1, with x-intercepts at 4 and -4, leading to the function y = -1/16x^2 + 1. Participants clarify that integration limits must align with the actual behavior of the curve, as areas below the x-axis contribute negatively to the integral. The conversation also touches on how to correctly set up integrals to avoid negative areas, emphasizing the importance of accurately defining the quadratic function before integration. Overall, the focus is on solving for the correct quadratic equation and understanding the implications of integration limits on area calculations.
  • #31
Mostly, I left things as fractions, writing 4.5 as 9/2, for example, so 4.5^2 = 81/4. Also, 1/4 inch = 1/48 ft.
 

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