Problem 2. To prepare for summer, Diffy E. Kew is trying out a new lemonade recipe. Through rigorous testing, Diffy observed that the rate at which an ice cube melts in the lemonade is proportional to its volume. As a final test, Diffy placed an ice cube with side length 1 cm into a glass of lemonade and eagerly observed what happened. a. Let V(t) be the volume of the ice cube at time t. Write down an initial value problem for V(t) and label any unknowns. b. Solve your initial value problem. c. After exactly 1 minute, the ice cube is half of its initial volume. Find any unknowns in your solution.

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