HW Supplement: The Fundamental Theorem of Calculus Name 1. Find the exact area under the curve of f(x)=√x between x=1 and x-5. 2. Use your graphing calculator to find an estimate for the area in #1, above. Type the function in Y1=, graph the function. Use 2nd CALC 7: S. Input the limits 1 and 5. Write your answer to 4 decimal places below. If your answers in #1 and #2 do not conform, find and correct your error. 3. What is the difference between the following two problems 3a & 3b? What is similar? Which problem uses the Fundamental Theorem of Calculus? Solve each of the problems. 3a. The resale value of industrial printers decreases over a 10-year period. When a machine is x years old, the value is changing at the rate of 220(x-10) dollars per year. By how much does a printer depreciate in 2nd year? 3b. The resale value of industrial printers decreases over a 10-year period. When a machine is x years old, the value is changing at the rate of 220(x-10) dollars per year. For a printer that is $11,000 new (x=0), how much is it worth after 5 years?