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Problem 2 - (Hand-written answers) A ball bearing at 1200K is allowed to cool down in air at an ambient temperature of 300K Assuming heat is lost only due to radiation, the differential equation for the temperature of the ball is given by dT --2.2067 x 10-12(T4-81 x 108) dt Determine the approximate temperature of the ball at time t 480 seconds using (a) Eulers method, with h-240 seconds, h -120 seconds, and h60 seconds. (b) Midpoint method, with h-240 seconds, h120 seconds, and h - 60 seconds.

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0 Given at dH Roue la method. From Rk method Cnth 2 ven dt ond h40 seconds2120 4 丘 (-10, 3,tos3 24 ) 。. 1100 + 2 6S3,0338. 고 2 03388 28 Fa o need -92 023 8828 1202 2. 2 lisa 983DS9

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