To solve the problem, we need to highlight three key reasons why maintaining a proper diet is important during sports competitions.
1. Sustains Energy Levels:
During competition, athletes require a high and consistent level of energy to perform at their best. A well-balanced diet that includes carbohydrates, proteins, and healthy fats ensures sustained energy release, delays fatigue, and maintains peak physical performance throughout the event.
2. Enhances Recovery and Muscle Function:
A proper diet provides essential nutrients like proteins, electrolytes, and vitamins that help repair muscle tissues, reduce soreness, and support recovery between rounds or events. This ensures the athlete remains physically prepared for the next performance.
3. Maintains Hydration and Mental Focus:
Adequate intake of fluids and minerals prevents dehydration, which can lead to cramps, decreased coordination, and mental fatigue. A hydrated body supports better concentration, reaction time, and decision-making during competition.
Final Answer:
Three key importance of diet during competition are: (1) it sustains energy levels, (2) enhances recovery and muscle function, and (3) maintains hydration and mental focus—ensuring optimal athletic performance and endurance.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).