Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 7, Problem 92SP
To determine
To find: The time when 90% of fluoride in the reservoir will be replaced.
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Chapter 7 Solutions
Calculus
Ch. 7.1 - Prob. 1PSCh. 7.1 - Prob. 2PSCh. 7.1 - Prob. 3PSCh. 7.1 - Prob. 4PSCh. 7.1 - Prob. 5PSCh. 7.1 - Prob. 6PSCh. 7.1 - Prob. 7PSCh. 7.1 - Prob. 8PSCh. 7.1 - Prob. 9PSCh. 7.1 - Prob. 10PS
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- → Consider a large vat containing sugar water that is to be made into soft drinks (see figure below). A B Suppose: • The vat contains 260 gallons of liquid, which never changes. • Sugar water with a concentration of 5 tablespoons/gallon flows through pipe A into the vat at the rate of 5 gallons/minute. Su water with a concentration of 4 tablespoons/gallon flows through pipe B into the vat at the rate of 20 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 25 gallons/minute. Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes. (A) Write the DE model for the time rate of change of sugar in the vat: dS dt (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = C M # $ 2 Oll O %arrow_forwardConsider a large vat containing sugar water that is to be made into soft drinks (see figure below). A B Suppose: The vat contains 160 gallons of liquid, which never changes. • Sugar water with a concentration of 4 tablespoons/gallon flows through pipe A into the vat at the rate of 20 gallons/minute. Sugar water with a concentration of 1 tablespoons/gallon flows through pipe B into the vat at the rate of 35 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 55 gallons/minute. Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes. (A) Write the DE model for the time rate of change of sugar in the vat: ds dt (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t)= (C) Suppose that there are 28 tablespoons of sugar in the vat at t = 0. How many…arrow_forward2. Carbon dioxide is an odorless, colorless gas that constitutes about 0.035% b volume of the atmosphere. It affects the heat balance by acting as a one-way screen. It lets in the sun's heat to warm the oceans and the land but blocks some of the infrared heat that is radiated from the earth. This reflected heat is absorbed into the lower atmosphere, producing a greenhouse effect which causes the earth's surface to become warmer than it would be otherwise. Systematic measurement of CO2 began in 1957 with Charles D. Keeling monitoring at Mauna Loa in Hawaii. Assume that these CO2 readings (in ppm) are obtained: 319 338 337 339 328 325 340 331 341 336 330 330 321 327 337 320 343 350 322 334 326 349 341 338 332 339 335 a. Estimate u and o? using the method of moments estimators. 338 333 334 b. Find an unbiased estimate for o?.arrow_forward
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