Two quantities are measured with uncertainties, as follows: x = 8.01 ± 0.04 y = 6.23 ± 0.06 Calculate the values and uncertainties for the following functions, using error propagation rules. Express your results in scientific notation with the correct number of significant figures. (5 points each) You must show all work associated with your calculations and not just the correct answer! If you don’t, you’ll lose points! a) f = 4x – 5y b) g = x3y2 c) r = (x + y) / (2y-x) d) s = ((x2 + y) / x1/2 )3/2

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?