You may use graphing technology to assist you and check your work. Algebraic solutions must be done without a graphing calculator. Answer on this document or take a photo and paste it in. Show your full solutions. A hot tub when completely lled has 1800 L of water. The tub will drain in exactly 30 minutes. Use the data table below to answer the following questions. 1. a] Graph the data using DESMOS and insert a screenshot in this document. Volume Remaining in tub [L] 180 (l 1250 800 450 200 b) What is the average rate of draining for the tub to completely drain? 2. Is the rate of draining constant? Explain. 3. Use DESMOS or algebraic methods to determine the equation of the curve of best fit for your data [it is a quadratic function). Write the equation below using correct notation. f'(x) = lim f(xth)- f(x) 4. Determine the IRC at any time (derivative) using first principles. h-0 h 5. Calculate the IRC after 25 minutes. 6. a) What time does the tub drain appear to drain the fastest? Explain. b) What is the fastest rate of draining? 7. Calculate the IRC when the hot tub is half empty