Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 78 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? The length of the square-end edge is 26 in. The box height is 26 in. The greatest volume of the box is in 3.4 Suppose f(x)dx = -7, f(x)dx =7, and g(x)dx =3. Evaluate the following integrals. 2 2 2 N g(x)dx = 0 7 (Simplify your answer.)Express the following sums using sigma notation. a. 2+3+4+5+6 b. 8+16 +24+32 + 40 + 48 c. 1 +27+37 +47 1 1 1 1 d. + 5 + 6 5 a. 2+3+4+5+6= > k = 1X The graph of f is shown in the figure to the right. Let A(x) = | f(t) dt and - 2 Area = 18 Arca = 8 X F(x) = f(t) dt be two area functions for f. Evaluate the following area functions. 4 Area = 9 a. A( -2) b. F(8) c. A(4) d. F(4) e. A(8) a. A( - 2) = (Simplify your answer.)