Question 10 You put a pot roast from the refrigerator at 35 Finto the oven that is 425 F. The pot roast has a cooling rate of 15% per hour. Answer the following questions: 1. Set up and equation to model the temperature of the pot roast 2. Is the Temperature Increasing or decreasing? 3. What will the temperature become as t → 00 4. What will the temperature of the pot roast be after 0.5 hours?

Q: The population of a slowly growing bacterial colony after t hours is given by p(t) 3t2 + 21t + 150.…

A: We are given the population function p(t)=3t2+21t+150 where t is measured in hours. Here, we need to…

Q: Example 2. In a room, the temperature is given by T = f(x, t) degrees Celsius, where r is the…

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Q: At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00…

A: Given that, the body temperature of a live person is 37°C. It is known that, the change in…

Q: Human hair from a grave in Africa proved to have only 65% of the carbon 14 of living tissue. When…

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Q: a

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Q: You put a pot roast from the refrigerator at 35 F into the oven that is 425 F. The pot roast has a…

A: Given You put a pot roast from the refrigerator at 35 F into the oven that is 425 F. The pot roast…

Q: A heated object is allowed to cool in a room which has a constant temperature of 20°C. It cools from…

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Q: Question 19 A cheesecake is taken out of the oven with an ideal internal temperature of 165'F and is…

A: Given:- A cheesecake is taken out of the oven with an ideal internal temperature of 165°F and is…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: Question 12 A cup of tea is cooling in a room that has a constant temperature of 70 degrees…

A: Already the temperature at t=0 is given just find the integral of R(x) within the limit 0 to 4 and…

Q: 1. Given the equation, y = 30(1.25- .5)^x; does it represent growth or decay? What is the rate of…

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Q: = 0.3t centimeters per minute 2. The depth of the water in a tank is changing at a rate of r(t) O,…

A: Given depth of the water changing at the rate of rt=0.3t cm/min. at t = 0, depth of water = 35 cm

Q: Park service personnel are trying to increase the size of the bison population of a large park. If…

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Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 3t² + 27t +…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A population of fish is modeled by the equation dP/dt = .00016P(1300-P)+20 with an initial…

A: Roots of quadratic equation Plotting of graph of Quadratic equation with the help of roots. Basic…

Q: Solve the problem. A certain radioactive isotope decays at a rate of 3% per 400 years. If t…

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Q: It is estimated that f years from now the population of a city will be P(1) = 20(65 + 5t)² – 14001.…

A: .GivenP(t)=20(65+5t)2-1400t Differentiate equation with respect to t we…

Q: A mountain climber uses the model T = 20 – 10h | to estimate the temperature T (in °C) at elevation…

A: T=20-10h a). When h=0, T=20-100=20 When h=1, T=20-101=10 When h=2, T=20-102=0 When h=3, T=20-103=-10…

Q: Question 1 of 14, Step 2 of 3 1/20 Correct When a factory operates from 6 AM to 6 PM, its total fuel…

A: Given query is to find rate of consumption at 10 AM.

Q: Q1) The growth rate of a certain strain of bacteria is unknown, but assumed to be proportional to…

A: The exponential growth or decay is modelled using the formula: Nt=N0ekt, where N(t) is the…

Q: Question 20 A coal-burning electricity generating plant emits sulfur dioxide into the air. The…

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Q: Question 2: A bacteria culture initially has 600 number of bacteria and triples in size in 8 hours.…

A: Given problem:- A bacteria culture initially has 600 number of bacteria and triples in size in 8…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: A storage tank contains a radioactive element with a half life of 900 years. Let f(t) be the…

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Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Solution )  f(t) = 0.8t3 - 0.3t0.4 + 27  Differentiate with respect to t  f'(t) = 0.8 × 3 t3-1  -…

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

A: dPdt=0.067P(t)dPP(t)=0.067dt∫P0PdPP(t)=∫0t0.067dtln|P(t)|-ln|P0|=0.067tlnP(t)P0=0.067tP(t)P0=e0.067t…

Q: If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: given: newton's law of heating tells us that the difference between the temperature of the oven and…

Q: THE POPULATION, P, OF A CERTAIN TOWN CAN BE MODELED BY THE EQUATION P = 2,005e, WHERE t = 0…

A: The Population P , of a certain town can be modeled by the equation P = 2005 ekt             ...(1)…

Q: Question 11 > A 25-year-old woman burns 400 – 70t cal/hr while walking on her treadmill. Her caloric…

A: We will integrate the given function

Q: 1. The value of the car, x years after it is purchased, is given by the following equation: 27000…

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Q: The current in an electric circuit carries electrons past a certain point at the rate of 10. +1 3…

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Q: The value of a computer t years after purchase is v(t) = 4000 e - 0.45t. At what rate is the…

A: Given, v(t)=4000 e-0.45t is the value function after t years. and we have to find the rate of value…

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

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Q: It is estimated that t years from now the population of a city will be P(t) = 30(35 + 4t)² – 1700t.…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: The pH of a solution is given by the formula pH = −0.4343 In a, where a is the activity of hydrogen…

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Q: For this equation is about the exponential growth and decay functions. In which rewrite…

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Q: The volume of a sphere is decreasing at a constant rate of 1515 cubic meters per minute. At the…

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

A: The balance P (in $) grows at a rate (per year) is given by, dPdt=0.065P(t) ............. (1)

Q: The population of bacteria is directly proportional to the temperature. There are about 10 million…

A: The population of bacteria is directly proportional to the temperature it means number of bacteria…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Answer

Q: It is estimated that t years from now the population of a city will be P(t) = 10(60 + 3t) - 1600t.…

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Q: Question 9 A phone company charges for service according to the formula: C(n) = 22 +0.07n, where n…

A: A phone company charges for service according to given function .     [ C(n)= 22 + 0.07n ] Where,…

Q: 2. The electricity demand, E(t), in Megawatts (MW), t hours after midnight, can be modelled by the…

A: First calculate total time t from mid night to 3:00 pm than find teh derivative of E(t) for that…

Q: The number N of E.Coli bacteria in the millions per mililiter after t minutes can be modeled by N…

A: Coli bacteria in the millions per mililiter after t minutes can be modeled by N(t)=0.5e0.014t. It is…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: It is given that the radius of the semicircle increases at the rate of 0.5 cms -1 when heated.…

A: Given ,  The radius of the semicircle increases at the rate of 0.5 cm s-1 when heated We have to…

Q: For a period of time, an island's population of penguins grows at a rate proportional to its…

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Q: It is estimated that t years from now the population of a city will be P(t) = 20(60 + 3)² - 1100t.…

A: The population of the city after t years from now is given by, P(t) = 20(60+3t)2 - 1100t