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ed of You are required to write a scilab program to model the following problem. On January 1 1900 a sculpture was valued at 80$. When the sculpture was sold one January 1 1956 (exactly 56 years later), its value was 5000$. The value V of the sculpture is modelled by the exponential growth equation V(t)=A*e*(t-1), where t is the time in years elapsed since 1900, and A is the initial value of the sculpture. a) Calculate and display the value of k. b) Show that the value of the sculpture will exceed 200000$ on January 1 2006. c) Calculate and display the year in which the value of the sculpture will first exceed 800000$.