x = Sf(t) c Let f(t)=2t-14 and consider the two area functions A(x) = f(t) dt and F(x) = f(t) dt. Complete parts (a)-(c). 7 Sft) d 10 LYu}}, 9SVGy V IBL an AJigooin u| ^} "A-T, The value of A(8) is 1. (Simplify your answer.) The value of A(9) is 4. (Simplify your answer.) Use geometry to find an expression for A(x) when x7. x-14x+49 (Type an expression using x as the variable.) b. Evaluate F(11) and F(12). Then use geometry to find an expression for F(x) for all x 10. The value of F(11) is 7. (Simplify your answer.) The value of F(12) is 16. (Simplify your answer.) Use geometry to find an expression for F(x) when x 10. 2-14x+40 (Type an expression using x as the variable.) c. Show that A(x)-F(x) is a constant and that A'(x)=F'(x) = f(x). First prove A(x) - F(x) is a constant. Given A(x) = x-14x+49 and F(x) = x-14x + 40, subtract F(x) from A(x).