Hello Tutor, Please do these seven problems. I would leave a feedback and thumbs up. Thank you so much:)

20 1 The Fundamental Theorem of Calculus; Definite Integrals 1 Find the area of the figure: a) 27 b) 30 c) 39 d) 29 2 Evaluate the definite integral: S, 2x + 3 dx (compare the result with the area in exercise #1) a) 30 b) 6 c) 20 d) 40 3 Find the area between the curve y = -x + 7x - 6 and the x- axis. a) 0 b) 20 c) 127 125 6 d) 6\f4. An open-top box is created by folding a piece of 2 by 3 feet cardboard with four equal sized squares cut out of the corners. Find x, the side of one cut-out square so that the volume is maximized. (Use the quadratic formula; only one of the solutions makes sense given the dimensions of the cardboard.) a) 1.27 b) .5 c) d) 0.4