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1. A small metal bar whose initial temperature was 20°C', is dropped into a large container of boiling water. How long will it take to reach 90°C if it is known that its' temperature increases 2°C in 1 second? 2. How long will it take the bar to reach 98°C in Problem 1?

1. A small metal bar whose initial temperature was 20°C', is dropped into a large container of boiling water. How long will it take to reach 90°C if it is known that its' temperature increases 2°C in 1 second? 2. How long will it take the bar to reach 98°C in Problem 1?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer those question on paper, then upload it 1. A small metal bar whose initial temperature was 20°C, is dropped into a large container of boiling water. How long will it take to reach 90°C if it is known that its' temperature increases 2°C in 1 second? 2. How long will it take the bar to reach 98°C in Problem 1? 3. Initially 200 mL of radioactive substance was present. After 12 hours the mass has decreased by 6%. If the rate of decay is proportional to the amount of substance present at time t find the amount of remaining after 48 hours. 4. Determine the half-life of the radioactive substance described in Problem 3. 5. Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6 months, there are 1000 fish in the pond. The owner will allow his friends and neighbours to fish on his pond after the fish population reaches 10, 000. When will the owner's friends be allowed to fish?
Transcribed Image Text:Answer those question on paper, then upload it 1. A small metal bar whose initial temperature was 20°C, is dropped into a large container of boiling water. How long will it take to reach 90°C if it is known that its' temperature increases 2°C in 1 second? 2. How long will it take the bar to reach 98°C in Problem 1? 3. Initially 200 mL of radioactive substance was present. After 12 hours the mass has decreased by 6%. If the rate of decay is proportional to the amount of substance present at time t find the amount of remaining after 48 hours. 4. Determine the half-life of the radioactive substance described in Problem 3. 5. Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6 months, there are 1000 fish in the pond. The owner will allow his friends and neighbours to fish on his pond after the fish population reaches 10, 000. When will the owner's friends be allowed to fish?
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