Question

Between April 1st and April 15th, water in a storage tank was being used at a rate of u(x) = 0.014x+ - 0.258x' + 1.065x + 3.873 hundred gallons per day, wherex is the number of days since the end of March Check u(3) = 5.124 At the same time, water was being replenished to the tank at a rate of r(x) = -0.047x + 0.834x°- 4.145x + 7.746 hundred gallons per day, wherex is the number of days since the end of March Check: r(3) = 1.548 How did the water level in the tank change between April 1st and April 5th? the eater level increased by 1140.8 gallons the water level decreased by 1140.8 gallons the water level increased by 47.875 gallons the water level decreased by 47.875 gallons

Answer 1

SOLUTION Change in the level in water tank UC) - 8(2) 0.014x²_ 0.25 8x² + lobs x + 3.873 toio 4743 -0.8340274.145% -7.746 =0.061 23-10084 x2 +5210x position - 3.873 hundred gallon perday so change of ro = 4 water tank levert from April I to April 5 5,8067)-Y(x) dx 5,7 10.06123-10084 x2 +5:2108-3-873)dx + [ 0:0 0.0612 S.210X2-31873275 = 0.06 ML 4) – 1.084 (3*-*-) +5.20(5-4) - 1873/5-1) ** 11.4887 Hundreds of gallon. ū II 40.8 Since fucs) - 1.084 x² 3 gallons - (x) dx is positive here Hence level will decrease as voc) is used wales trex) is replighment. Hence second option is correct.

Second option is correct