Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 8.2, Problem 45PS
To determine
To find: the number of revolution before the flywheel comes to rest.
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Jake is 1 yr younger than Charlotte.a. Write a model for Jake’s age J in terms of Charlotte’s age C. b. Write a model for Charlotte’s age C in terms of Jake’s age J.
Consider an aquarium with a 75 gallon tank. If the aquarium has a water pump that pumps water at a rate of 227 gallons per hour, calculate the residence time (in minutes)
Round your answer to the nearest minute
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following.
Therefore, when t = 5, the rate at which the water drains is
V'(5)
Chapter 8 Solutions
Calculus
Ch. 8.1 - Prob. 1PSCh. 8.1 - Prob. 2PSCh. 8.1 - Prob. 3PSCh. 8.1 - Prob. 4PSCh. 8.1 - Prob. 5PSCh. 8.1 - Prob. 6PSCh. 8.1 - Prob. 7PSCh. 8.1 - Prob. 8PSCh. 8.1 - Prob. 9PSCh. 8.1 - Prob. 10PS
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Prob. 58PSCh. 8.7 - Prob. 59PSCh. 8.7 - Prob. 60PSCh. 8.8 - Prob. 1PSCh. 8.8 - Prob. 2PSCh. 8.8 - Prob. 3PSCh. 8.8 - Prob. 4PSCh. 8.8 - Prob. 5PSCh. 8.8 - Prob. 6PSCh. 8.8 - Prob. 7PSCh. 8.8 - Prob. 8PSCh. 8.8 - Prob. 9PSCh. 8.8 - Prob. 10PSCh. 8.8 - Prob. 11PSCh. 8.8 - Prob. 12PSCh. 8.8 - Prob. 13PSCh. 8.8 - Prob. 14PSCh. 8.8 - Prob. 15PSCh. 8.8 - Prob. 16PSCh. 8.8 - Prob. 17PSCh. 8.8 - Prob. 18PSCh. 8.8 - Prob. 19PSCh. 8.8 - Prob. 20PSCh. 8.8 - Prob. 21PSCh. 8.8 - Prob. 22PSCh. 8.8 - Prob. 23PSCh. 8.8 - Prob. 24PSCh. 8.8 - Prob. 25PSCh. 8.8 - Prob. 26PSCh. 8.8 - Prob. 27PSCh. 8.8 - Prob. 28PSCh. 8.8 - Prob. 29PSCh. 8.8 - Prob. 30PSCh. 8.8 - Prob. 31PSCh. 8.8 - Prob. 32PSCh. 8.8 - Prob. 33PSCh. 8.8 - Prob. 34PSCh. 8.8 - Prob. 35PSCh. 8.8 - Prob. 36PSCh. 8.8 - Prob. 37PSCh. 8.8 - Prob. 38PSCh. 8.8 - Prob. 39PSCh. 8.8 - Prob. 40PSCh. 8.8 - Prob. 41PSCh. 8.8 - Prob. 42PSCh. 8.8 - Prob. 43PSCh. 8.8 - Prob. 44PSCh. 8.8 - Prob. 45PSCh. 8.8 - Prob. 46PSCh. 8.8 - Prob. 47PSCh. 8.8 - Prob. 48PSCh. 8.8 - Prob. 49PSCh. 8.8 - Prob. 50PSCh. 8.8 - Prob. 51PSCh. 8.8 - Prob. 52PSCh. 8.8 - Prob. 53PSCh. 8.8 - Prob. 54PSCh. 8.8 - Prob. 55PSCh. 8.8 - Prob. 56PSCh. 8.8 - Prob. 57PSCh. 8.8 - Prob. 58PSCh. 8.8 - Prob. 59PSCh. 8.8 - Prob. 60PSCh. 8 - Prob. 1PECh. 8 - Prob. 2PECh. 8 - Prob. 3PECh. 8 - Prob. 4PECh. 8 - Prob. 5PECh. 8 - Prob. 6PECh. 8 - Prob. 7PECh. 8 - Prob. 8PECh. 8 - Prob. 9PECh. 8 - Prob. 10PECh. 8 - Prob. 11PECh. 8 - Prob. 12PECh. 8 - Prob. 13PECh. 8 - Prob. 14PECh. 8 - Prob. 15PECh. 8 - Prob. 16PECh. 8 - Prob. 17PECh. 8 - Prob. 18PECh. 8 - Prob. 19PECh. 8 - Prob. 20PECh. 8 - Prob. 21PECh. 8 - Prob. 22PECh. 8 - Prob. 23PECh. 8 - Prob. 24PECh. 8 - Prob. 25PECh. 8 - Prob. 26PECh. 8 - Prob. 27PECh. 8 - Prob. 28PECh. 8 - Prob. 29PECh. 8 - Prob. 30PECh. 8 - Prob. 1SPCh. 8 - Prob. 2SPCh. 8 - Prob. 3SPCh. 8 - Prob. 4SPCh. 8 - Prob. 5SPCh. 8 - Prob. 6SPCh. 8 - Prob. 7SPCh. 8 - Prob. 8SPCh. 8 - Prob. 9SPCh. 8 - Prob. 10SPCh. 8 - Prob. 11SPCh. 8 - Prob. 12SPCh. 8 - Prob. 13SPCh. 8 - Prob. 14SPCh. 8 - 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- Show all formula, substitution and calculations. Round off to 2decimals. A teacher gave her class two tests. 25% of the class passed both tests and42% of the class passed the first test. What percentage of those who passedthe first test also passed the second test?arrow_forwardExplain Decay problems,carbon-dating problems ,and exact equations?arrow_forwardA museum contains a large pendulum. Due to air resistance and friction, each swing of the pendulum is a little shorter than the previous one. Suppose the first swing of the pendulum has a length of 25,000 mm and each return swing loses 4% of its length until eventually the pendulum comes to a complete stop. Answer parts A, B, C, and D and if necessary, round to the nearest tenth of a millimeter. A. Let 'n' be defined as the number of swings the pendulum travels. Define 'a1' and 'r' (these are used in the explicit formula.) Write a geometric sequence in summation (Sigma) notation to express the total distance that the pendulum will have traveled after 30 swings. Sigma notation will have a lower limit, an upper limit, and an explicit formula. Do not compute the sum. B. Use the summation formula to find the total distance the pendulum swings. C. Using information from part A, write a geometric series in summation (Sigma) notation to express the total distance that the pendulum will have…arrow_forward
- The third bacteria culture started with 5,000 bacteria. The assistant found that after 3 hours the estimated population was 80,000. 3. How long did it take for the population to double for the first time? How long after that (a) will it take for the population to double the second time? How long after that will it take for the population to double the third time? Find an equation that can be used to predict the size of the population at any time t. Estimate the population after 3.5 hours. (b) (c) How does the doubling time found in (a) relate to your equation in (b)? Find a general formula (or rule) that can be used to predict the bacteria population for any culture. You should define what each variable in your general formula stands for. You should illustrate how your general formula applies to each of the three scenarios in this investigation! 4.arrow_forward1. The barnacle falls off the wheel after 22.5 minutes. Use your regression equation to predict the height of the barnacle when it falls of the wheel,to the nearest tenth of a meter. 2. Determine the total time within the first rotation that the barnacle is at least 2 meters above the surface of the water, rounded to the nearest tenth of a minutearrow_forward0.4=14-0.2x+x700.4=14+0.8x7028=14+0.8x0.8x=14x=17.5 liter The problem, as typed out above, is hard to follow.arrow_forward
- Problem 5 114. Biology With each breath, a person at rest breathes in about 0.50 L of air, 20.9% of which is 02, and exhales the same volume of air containing 16.3% O₂. In the lungs, oxygen diffuses into the blood, and is then transported throughout the body. Severe illness (altitude sickness) and even death can result if the amount of oxygen is too low. At sea level, atmospheric pressure is 1.00 atm, but at 3048 m (10,000 ft) it is reduced to 0.695 atm; the percentage of oxygen remains the same in both cases. Suppose that the temperature is 20 °C at both altitudes. What is the net number of oxygen molecules in each complete breath (a) at sea level and (b) at an altitude of 3048 m? (c) Use the results above to explain why peo- ple feel "out of breath" and must breathe more rapidly and deeply at high altitudes.arrow_forward3. It is a cold winter morning when the temperature in your car falls to 10° F. At 8 AM you carelessly leave your trusty TI calculator in your car, not realizing that temperatures below freezing, 32° F, can seriously damage it. Your calculator was initially at a temperature of 49° F. You run back to your car at 9:05 AM to perform an urgent calculation, at which time you estimate the temperature of your calculator to be 40° F. Thinking it is OK, you again leave your calculator in the car. Assuming Newton's Law of Cooling applies, at what time (to the nearest minute) must you get back to rescue your calculator from potential damage? Setup and solve the appropriate DE.arrow_forward8. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. You are saving your money in an account that accrues interest continuously at a rate of 6.25%. You invest $12, 500. Part A: Identify the values for the variables, and write an equation that can be used to find the amount of money in the account after a certain number of years, t. Part B: Approximately how much money will be in your account after 2 years? Show your work. Part C: If you are trying to save $25,000, approximately how long will it take to reach your goal? (Round to the nearest hundredth.) Show your work to support your answer. B i U Font Family AA A == = G ¡A GED ±√arrow_forward
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