(a) If H(t) is the temperature of the spring at time t (minutes), explain what the differential equation dH --k(H – 20) dt means in everyday terms. (b) What is the sign of k in the equation? (c) Solve the differential equation under the assumption that the spring starts at 1000° C. If the spring cools to 90° C in 2 minutes, how long will it take to cool to 60° C?

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Estimate of calculation