5) When a cake is removed from an oven, its temperature is measured at 300°F. Three minutes later its temperature is 200°F. How long will it take for the cake to cool off to 80°F if the room temperature is 70 °F?
5) When a cake is removed from an oven, its temperature is measured at 300°F. Three minutes later its temperature is 200°F. How long will it take for the cake to cool off to 80°F if the room temperature is 70 °F?
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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Question
Solve only number 5
Subject: Differential equations
![Solve the following:
1) (x² + 6y²)dx – 4xydy = 0
2) (2y2 – x³)dx + 3xy²dy = 0
3) 2ydx + x(x² In|y| – 1)dy = 0
4) [cos(2y) – 3x²y²]dx + [cos(2y) – 2xsin2y – 2x³y]dy = 0
5) When a cake is removed from an oven, its temperature is measured at 300°F. Three minutes
later its temperature is 200°F. How long will it take for the cake to cool off to 80°F if the room
temperature is 70 °F?
6) Radium decomposes at a rate of proportional to the quantity of radium present. Suppose that
it is found that in 25years, approximately 1.1% of a certain quantity of radium has
decomposed. Determine approximately how long will it take for one-half the organic amount
of radium to decompose.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F574401a2-240f-4f74-8f7b-62b557f446cf%2F8100e485-4638-4559-8f0c-d522a61118cd%2F00ovnwf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the following:
1) (x² + 6y²)dx – 4xydy = 0
2) (2y2 – x³)dx + 3xy²dy = 0
3) 2ydx + x(x² In|y| – 1)dy = 0
4) [cos(2y) – 3x²y²]dx + [cos(2y) – 2xsin2y – 2x³y]dy = 0
5) When a cake is removed from an oven, its temperature is measured at 300°F. Three minutes
later its temperature is 200°F. How long will it take for the cake to cool off to 80°F if the room
temperature is 70 °F?
6) Radium decomposes at a rate of proportional to the quantity of radium present. Suppose that
it is found that in 25years, approximately 1.1% of a certain quantity of radium has
decomposed. Determine approximately how long will it take for one-half the organic amount
of radium to decompose.
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