A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time t is given by T(t) = 62 + 148e−0.05t where t is measured in minutes and T is measured in °F. (a) What is the initial temperature of the soup (t = 0 mins)?  °F (b) What is the temperature after 10 min? (Round your answer to one decimal place.)  °F (c) After how long will the temperature be 100°F? (Round your answer to the nearest whole number.)  min

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.