Explanation Given: The temperature in a snake cage is d T d t = 0.008 ° C / s . Formula used: Linear approximation of Δ f : If f is differentiable at x = a and Δ x is small then Δ f ≈ f ′ ( a ) Δ x Where Δ f = f ( a + Δ x ) − f ( a ) . Calculation: The temperature in a snake cage is d T d t = 0.008 ° C / s . We have to find the rise in temperature over the next 10 s . Let the loss of generality present temperature is T = 0 ° C . So, a = 0 , Δ t = 10 . Now, apply the linear approximation with a = 0 and Δ t = 10

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ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.1, Problem 32E

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Find the rise in temperature over the next 10 s.

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Find the rise in temperature over the next 10 s .

Solution Summary: The author calculates the temperature in a snake cage by using the linear approximation of Delta f.

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Find the rise in temperature over the next 10 s.

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