need help with number 5

File X Bb 7806408 X Course Hero X Course Hero X Sy integral from x New Tab X Course Hero X Homework H X + V X C learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5dfd86f5a7e3b/7806408?X-Blackboard-Expiration=16683624000008 X-Blackboard-Signature 2 * 7806408 1 / 1 90% + 3. $15.2 Integrate f over the given region. f(s,t) = es Int over the region in the first quadrant of the st-plane that lies above the curve s = Int from t = 1 tot = 2. 4. $15.2 a. Set up the integral for the volume of the solid bounded on the front and back by the planes x = + , on the sides by the cylinders y = + secx , above by the cylinder z = 1 + yz, and below by the xy-plane. b. Sketch the Region R first to help with bounds setup. C. Then find the volume of the solid. d. EXPLAIN: Why did you chose your order of integration the way you did? 5. $15.4 Set up the integral for the volume of the space enclosed by the lemniscate 72 = 2 cos 20 as the base of a solid right cylinder (noncircular) whose top is bounded by the sphere z = V2 -12 . Sketch Region R. Can you "abbreviate" your bounds to simplify calculations? How/Why? Find the volume of the space 6. $15.5 Find the volume of the region in the first octant bounded by the coordinate planes and the two planes x + z = 1 and y + 2z = 2. 7. $15.7 Convert the given integral to an equivalent integral in cylindrical coordinates and evaluate the result. Draw a diagram to explain your logic. Type here to search O Fi O 2:23 PM 62 F 11/13/2022