A 1000 m³ capacity rectangular reservoir is 80% filled with pure water. Staring at 7:00 am on Feb 1, a 5% chloric acid solution flows in at 10 L/sec and well-stirred mixture flows out at 20 L/sec. (a) Develop a model for the volume V of the solution in the reservoir and the amount A of dissolved chloric acid as functions of time. Your model should specify a consistent system of units, describe the variables and include differential equations and initial conditions. Note: 1 m³ 1000 L (b) Solve the initial value problems in part (a). (c) At what time of the day will the volume of the liquid in the reservoir drop to 20% of reservoir's capacity? Round off the answer to the nearest minute if necessary. = (d) Determine the formula for the concentration of the chloric acid in the reservoir as a function of time and use it to calculate the concentration of the chloric acid in the reservoir at 5:00 pm on the same day.

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18. The amount of sugar in a fermenting batch of beer is 5 grams. It decreases with time at a rate of 0.6 grams every 4 days. a) Determine the independent and dependent variable. b) Write the linear equation that describes this situation. c) How long will it take the amount of sugar to reach 3 grams?

Over the years a farmer has collected data on the average volume of the oranges in his crop in cubic inches based on the number of sunny days and 120 day growing session. The equation of the line of best fit is volume equals 3+0.08 number of sunny days. Find and interpret the residual for an average orange volume of 8 cubic inches in a season with 45 sunny days

Grnoh y6.Ts. Line Undo ARedo Reset 5- de 8: MRL>Chapter 4>Section 4.1: Graphing Linear Equations>Exercises: 1-33> Question #19 y=675 V. 3 .15 46 15 56.15 is

Meet ng azkq ner Presen E 822 scnedule 11/20 Google De A 822 Olficial Math Armstrong 8 https://app.peardeck.com/student/ticewszrv A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. Write a linear equation to model this situation. Find the volume of water in the tank 25 minutes after Baxter begins filling the tank. Pear Deck Interactive Slide Students, write your response! Do net remove this ba Slide 24/24 P Type here to search Esc F3 %23 12 3 4. 15 Tab pSLk

Find a general solution of the system: x' =1²2 =21* L2

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