Compute the flux of F⃗ =xi⃗ +yj⃗ +zk⃗ through the curved surface of the cylinder x2+y2=16 bounded below by the plane x+y+z=1, above by the plane x+y+z=7, and oriented away from the z-axis.

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

The two cylinders are similar. if the ratio of their surface areas is 9/1.44 find the volume of each cylinder. round your answer to the nearest hundredth. a. small cylinder: 152.00 m3 large cylinder: 950.02 m3 b. small cylinder: 972.14 m3 large cylinder: 12,924.24 m3 c. small cylinder: 851.22 m3 large cylinder: 13,300.25 m3 d. small cylinder: 682.95 m3 large cylinder: 13,539.68 m3

Prove that 16^4-2^13-4^5 is divisible by 11.