Fu ndamentnl Q uestions l. (4pm) Consider the finite region bounded by the curves: y =e' , y = 4 and the yaxis. Determine the exact area of this region by integrating with respect to I. 2. (4pts) Consider the finite region bounded by the curvesx = gTyg & y =.\'2 . Determine the exact area of this region by integrating with respect to y. 3. (3pts each) Consider the finite region bounded by the :raxis, the yaxis. the line y = )'t and y = ln(x). Set up, but do not evaluate, a definite integra|(s) to determine the area of' the region by. . . a) integrating with respect to y. b) integrating with respect to I. Questions Requiring Deeper Understanding I. Consider the nite region bounded by the following curves: x :1, x = 2, y :3; +1, 8:. y = 5. a) (5pts) Set up a definite integral(s), with resgect to 1', to determine the area of this region. 1)) (lpt) Use your calculator to evaluate the integra|{s) you set up in part (a). Round the area to 2 decimals. Extra Credit {Eats}: You must show at! work to earn credit. No credit wit} be given without supporting work The region R formed by the curves y = cos [g I] & y =x2 1 can be cut into two regions with equal areas using a horizontat line. Find the exact equation of the horizontal line that divides R in this way