please help me answer each question and write out each step. thank you.

1. Let Abe the region enclosed by the graphs y =e", y =e', and x =1. Which of the following gives the volume of the solid generated when Ris revolved about the x-axis? a. jet* ) dx b . jet - 2 2 ) dx d. x ] ( ex - e- 2x ) dx e . if ( e' - e - )'dx 2. Let Abe the region enclosed by the graph of y = x, the line x = 4, and the x-axis. Which of the following gives the best approximation of the volume of the solid generated when R is revolved about the y-axis? a. 64x b. 1287 c. 256TT d. 360 e. 512 PART II (SHOW WORK) 3. Let Abe the region in the first quadrant bounded by the x - axis , the graph of x = 12 +2, and the line x=4. Write an integral for the area of R. 4. Find the area of the region A bounded by the curves y = x and y = x. Find the volume of the solid generated by rotating the region bounded by the above curves about : (a) the x-axis (b) the y-axis