(a) A bowl of water has a temperature of 50°C. It is put into a refrigerator where the temper- ature is 5°C. After 0.5 hours, the water is stirred and its temperature is measured to be 20°C. It is then left to cool further, take t in Newton's law of cooling to be measured in minutes. Use Newton's law of cooling to predict when the temperature will be 10°C. (b) Verify that the given family of functions solves the differential equation. dy 1 (i) (1 – 2t)y², dt y = C – t+ t²' dy (ii) = y² sint, y = T+ cos t dt 1 (c) Evaluate the integral ap- (V4–x²)*
(a) A bowl of water has a temperature of 50°C. It is put into a refrigerator where the temper- ature is 5°C. After 0.5 hours, the water is stirred and its temperature is measured to be 20°C. It is then left to cool further, take t in Newton's law of cooling to be measured in minutes. Use Newton's law of cooling to predict when the temperature will be 10°C. (b) Verify that the given family of functions solves the differential equation. dy 1 (i) (1 – 2t)y², dt y = C – t+ t²' dy (ii) = y² sint, y = T+ cos t dt 1 (c) Evaluate the integral ap- (V4–x²)*
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
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